Associate Professor Ian McCulloch

Osborne, Jesse J. and McCulloch, Ian P. (2025). Efficient and systematic calculation of arbitrary observables for the matrix product state excitation ansatz. Physical Review Research, 7 (2) 023018. doi: 10.1103/physrevresearch.7.023018

Taylor, Jordan K. and McCulloch, Ian P. (2025). Wavefunction branching: when you can't tell pure states from mixed states. Quantum, 9 1670, 1670. doi: 10.22331/q-2025-03-25-1670

Zhou, Huan-Qiang, Shi, Qian-Qian, Fjærestad, John O. and McCulloch, Ian P. (2025). Fractals and spontaneous symmetry breaking with type- B Goldstone modes: A perspective from entanglement. Physical Review A, 111 (2) 022425. doi: 10.1103/physreva.111.022425

Shi, Qian-Qian, Dai, Yan-Wei, Zhou, Huan-Qiang and McCulloch, Ian P (2025). Fractal dimension and the counting rule of the Goldstone modes. Journal of Physics A: Mathematical and Theoretical, 58 (5) 05LT01, 05LT01-5. doi: 10.1088/1751-8121/adaba0

Van Damme, Maarten, Haegeman, Jutho, McCulloch, Ian and Vanderstraeten, Laurens (2024). Efficient higher-order matrix product operators for time evolution. SciPost Physics, 17 (5) 135. doi: 10.21468/scipostphys.17.5.135

Desaules, Jean-Yves, Su, Guo-Xian, McCulloch, Ian P., Yang, Bing, Papić, Zlatko and Halimeh, Jad C. (2024). Ergodicity breaking under confinement in cold-atom quantum simulators. Quantum, 8 1274. doi: 10.22331/q-2024-02-29-1274

Chung, Ming-Chiang, Huang, Guang-Yu, McCulloch, Ian P. and Tsai, Yuan-Hong (2023). Deep learning of phase transitions for quantum spin chains from correlation aspects. Physical Review B, 107 (21) 214451. doi: 10.1103/physrevb.107.214451

Dağ, Ceren B., Uhrich, Philipp, Wang, Yidan, McCulloch, Ian P. and Halimeh, Jad C. (2023). Detecting quantum phase transitions in the quasistationary regime of Ising chains. Physical Review B, 107 (9) 094432, 1-20. doi: 10.1103/physrevb.107.094432

Halimeh, Jad C., McCulloch, Ian P., Yang, Bing and Hauke, Philipp (2022). Tuning the topological θ-angle in cold-atom quantum simulators of gauge theories. PRX Quantum, 3 (4) 040316. doi: 10.1103/prxquantum.3.040316

Hashizume, Tomohiro, McCulloch, Ian P. and Halimeh, Jad C. (2022). Dynamical phase transitions in the two-dimensional transverse-field Ising model. Physical Review Research, 4 (1) A195, 1-9. doi: 10.1103/PhysRevResearch.4.013250

Simmons, S. A., Bayocboc, F. A., Pillay, J. C., Colas, D., McCulloch, I. P. and Kheruntsyan, K. V. (2020). What is a Quantum Shock Wave?. Physical Review Letters, 125 (18) 180401, 1-6. doi: 10.1103/physrevlett.125.180401

Halimeh, Jad C., Ott, Robert, McCulloch, Ian P., Yang, Bing and Hauke, Philipp (2020). Robustness of gauge-invariant dynamics against defects in ultracold-atom gauge theories. Physical Review Research, 2 (3) 033361, 1-16. doi: 10.1103/PhysRevResearch.2.033361

Chen, Xi-Hao, McCulloch, Ian, Batchelor, Murray T. and Zhou, Huan-Qiang (2020). Symmetry-protected trivial phases and quantum phase transitions in an anisotropic antiferromagnetic spin-1 biquadratic model. Physical Review B, 102 (8) 085146. doi: 10.1103/PhysRevB.102.085146

Hashizume, Tomohiro, Halimeh, Jad C. and McCulloch, Ian P. (2020). Hybrid infinite time-evolving block decimation algorithm for long-range multidimensional quantum many-body systems. Physical Review B, 102 (3) 035115. doi: 10.1103/PhysRevB.102.035115

Janani, C., Merino, J., McCulloch, Ian P. and Powell, B. J. (2020). Publisher's Note: Low-energy effective theories of the two-thirds filled hubbard model on the triangular necklace lattice (Physical Review B (2014) 90 (035120) DOI: 10.1103/PhysRevB.90.035120). Physical Review B, 101 (8) 089903. doi: 10.1103/PhysRevB.101.089903

Pillay, Jason C. and McCulloch, Ian P. (2019). Cumulants and scaling functions of infinite matrix product states. Physical Review B, 100 (23) 235140. doi: 10.1103/physrevb.100.235140

Cascio, Carlo, Halimeh, Jad C., McCulloch, Ian P., Recati, Alessio and De Vega, Inés (2019). Dynamics of multiple atoms in one-dimensional fields. Physical Review A, 99 (1) 013845. doi: 10.1103/PhysRevA.99.013845

Petrescu, Alexandru, Piraud, Marie, Roux, Guillaume, McCulloch, I. P. and Le Hur, Karyn (2018). Erratum: Precursor of the Laughlin state of hard-core bosons on a two-leg ladder (Physical Review B (2017) 96 (014524) DOI: 10.1103/PhysRevB.96.014524). Physical Review B, 98 (5) 059901. doi: 10.1103/PhysRevB.98.059901

Zauner-Stauber, V., Vanderstraeten, L., Haegeman, J., McCulloch, I. P. and Verstraete, F. (2018). Topological nature of spinons and holons: elementary excitations from matrix product states with conserved symmetries. Physical Review B, 97 (23) 235155. doi: 10.1103/PhysRevB.97.235155

Pillay, Jason C. and McCulloch, Ian P. (2018). Topological phase transition and the effect of Hubbard interactions on the one-dimensional topological Kondo insulator. Physical Review B, 97 (20) 205133. doi: 10.1103/PhysRevB.97.205133

Saadatmand, S. N., Bartlett, S. D. and McCulloch, I. P. (2018). Phase diagram of the quantum Ising model with long-range interactions on an infinite-cylinder triangular lattice. Physical Review B, 97 (15) 155116. doi: 10.1103/PhysRevB.97.155116

Gangat, Adil A., McCulloch, Ian P. and Kao, Ying-Jer (2018). Symmetry between repulsive and attractive interactions in driven-dissipative Bose-Hubbard systems. Scientific Reports, 8 (1) 3698, 3698. doi: 10.1038/s41598-018-21845-5

Saadatmand, S. N. and McCulloch, I. P. (2017). Detection and characterization of symmetry-broken long-range orders in the spin-1/2 triangular Heisenberg model. Physical Review B, 96 (7) 075117. doi: 10.1103/PhysRevB.96.075117

Petrescu, Alexandru, Piraud, Marie, Roux, Guillaume, McCulloch, I. P. and Le Hur, Karyn (2017). Precursor of the Laughlin state of hard-core bosons on a two-leg ladder. Physical Review B, 96 (1) 014524. doi: 10.1103/PhysRevB.96.014524

Tirrito, Emanuele, Ran, Shi-Ju, Ferris, Andrew J., McCulloch, Ian P. and Lewenstein, Maciej (2017). Efficient perturbation theory to improve the density matrix renormalization group. Physical Review B: Condensed Matter and Materials Physics, 95 (6) 064110. doi: 10.1103/PhysRevB.95.064110

Hubig, C., McCulloch, I. P. and Schollwock, U. (2017). Generic construction of efficient matrix product operators. Physical Review B, 95 (3) 035129. doi: 10.1103/PhysRevB.95.035129

Halimeh, Jad C., Zauner-Stauber, Valentin, McCulloch, Ian P., De Vega, Ines, Schollwock, Ulrich and Kastner, Michael (2017). Prethermalization and persistent order in the absence of a thermal phase transition. Physical Review B, 95 (2) 024302. doi: 10.1103/PhysRevB.95.024302

Greschner, S., Piraud, M., Heidrich-Meisner, F., McCulloch, I. P., Schollwock, U. and Vekua, T. (2016). Symmetry-broken states in a system of interacting bosons on a two-leg ladder with a uniform Abelian gauge field. Physical Review A, 94 (6) 063628. doi: 10.1103/PhysRevA.94.063628

Nourse, H. L., McCulloch, I. P., Janani, C. and Powell, B. J. (2016). Haldane insulator protected by reflection symmetry in the doped Hubbard model on the three-legged ladder. Physical Review B, 94 (21) 214418. doi: 10.1103/PhysRevB.94.214418

Saadatmand, S. N. and McCulloch, I. P. (2016). Symmetry fractionalization in the topological phase of the spin-1/2 J(1)-J(2) triangular Heisenberg model. Physical Review B, 94 (12) 121111. doi: 10.1103/PhysRevB.94.121111

Tiegel, Alexander C., Veness, Thomas, Dargel, Piet E., Honecker, Andreas, Pruschke, Thomas, McCulloch, Ian P. and Essler, Fabian H. L. (2016). Optical conductivity of the Hubbard chain away from half filling. Physical Review B: Condensed Matter and Materials Physics, 93 (12) 125108, 125108-1-125108-5. doi: 10.1103/PhysRevB.93.125108

Wolf, F. Alexander, Go, Ara, McCulloch, Ian P., Millis, Andrew J. and Schollwoeck, Ulrich (2015). Imaginary-time matrix product state impurity solver for dynamical mean-field theory. Physical Review X, 5 (4) 041032. doi: 10.1103/PhysRevX.5.041032

Greschner, S., Piraud, M., Heidrich-Meisner, F., McCulloch, I. P., Schollwock, U. and Vekua, T. (2015). Spontaneous increase of magnetic flux and chiral-current reversal in bosonic ladders: swimming against the tide. Physical Review Letters, 115 (19) 190402, 1-5. doi: 10.1103/PhysRevLett.115.190402

Halimeh, Jad C., Kolley, Fabian and McCulloch, Ian P. (2015). Chebyshev matrix product state approach for time evolution. Physical Review B, 92 (11) 115130. doi: 10.1103/PhysRevB.92.115130

Kolley, F., Piraud, M., McCulloch, I.P., Schollwock, U. and Heidrich-Meisner, F. (2015). Strongly interacting bosons on a three-leg ladder in the presence of a homogeneous flux. New Journal of Physics, 17 (9) 092001, 092001. doi: 10.1088/1367-2630/17/9/092001

Balzer, Karsten, Wolf, F. Alexander, McCulloch, Ian P., Werner, Philipp and Eckstein, Martin (2015). Nonthermal Melting of Neel Order in the Hubbard Model. Physical Review X, 5 (3) 031039. doi: 10.1103/PhysRevX.5.031039

Saadatmand, S. N., Powell, B. J. and McCulloch, I. P. (2015). Phase diagram of the spin-1/2 triangular J1-J2 Heisenberg model on a three-leg cylinder. Physical Review B (Condensed Matter and Materials Physics), 91 (24) 245119, 245119.1-245119.11. doi: 10.1103/PhysRevB.91.245119

Piraud, M., Heidrich-Meisner, F., McCulloch, I. P., Greschner, S., Vekua, T. and Schollwöck, U. (2015). Vortex and Meissner phases of strongly interacting bosons on a two-leg ladder. Physical Review B - Condensed Matter and Materials Physics, 91 (14) 140406, 140406.1-140406.5. doi: 10.1103/PhysRevB.91.140406

Chen, Pochung, Xue, Zhi-Long, McCulloch, I. P., Chung, Ming-Chiang, Huang, Chao-Chun and Yip, S. -K. (2015). Quantum critical spin-2 chain with emergent SU(3) symmetry. Physical Review Letters, 114 (14) 145301, 145301.1-145301.5. doi: 10.1103/PhysRevLett.114.145301

Hubig, C., McCulloch, I. P., Schollwoeck, U. and Wolf, F. A. (2015). Strictly single-site DMRG algorithm with subspace expansion. Physical Review B, 91 (15) 155115, 155115-155115. doi: 10.1103/PhysRevB.91.155115

Wolf, F. Alexander, Justiniano, Jorge A, Mcculloch, Ian P and Schollwock, Ulrich (2015). Spectral functions and time evolution from the Chebyshev recursion. Physical Review B - Condensed Matter and Materials Physics, 91 (115144) 115144, 115144-1-115144-17. doi: 10.1103/PhysRevB.91.115144

Phien, Ho N., Mcculloch, Ian P. and Vidal, Guifre (2015). Fast convergence of imaginary time evolution tensor network algorithms by recycling the environment. Physical Review B - Condensed Matter and Materials Physics, 91 (11) 115137, 1-15. doi: 10.1103/PhysRevB.91.115137

Kolley, F., Depenbrock, S., McCulloch, I. P., Schollwoeck, U. and Alba, V. (2015). Phase diagram of the J(1)-J(2) Heisenberg model on the kagome lattice. Physical Review B, 91 (10) 104418, 104418-104418. doi: 10.1103/PhysRevB.91.104418

Stojevic, Vid, Haegeman, Jutho, McCulloch I.P., Tagliacozzo, Luca and Verstraete, Frank (2015). Conformal data from finite entanglement scaling. Physical Review B - Condensed Matter and Materials Physics, 91 (3) 035120. doi: 10.1103/PhysRevB.91.035120

Janani, C., Merino J., McCulloch, I. P. and Powell, B. J. (2014). Haldane phase in the hubbard model at 2/3-filling for the organic molecular compound Mo3 S7 (dmit)3. Physical Review Letters, 113 (26) 267204, 267204-1-267204-5. doi: 10.1103/PhysRevLett.113.267204

Wolf, F. Alexander, McCulloch, Ian P. and Schollwock, Ulrich (2014). Solving nonequilibrium dynamical mean-field theory using matrix product states. Physical Review B - Condensed Matter and Materials Physics, 90 (23) 235131. doi: 10.1103/PhysRevB.90.235131

Wolf, F. Alexander, McCulloch, Ian P., Parcollet, Olivier and Schollwoeck, Ulrich (2014). Chebyshev matrix product state impurity solver for dynamical mean-field theory. Physical Review B, 90 (11) 115124, 115124.1-115124.17. doi: 10.1103/PhysRevB.90.115124

D'Errico, Chiara, Lucioni, Eleonora, Tanzi, Luca, Gori, Lorenzo, Roux, Guillaume, McCulloch, Ian P., Giamarchi, Thierry, Inguscio, Massimo and Modugno, Giovanni (2014). Observation of a disordered bosonic insulator from weak to strong interactions. Physical Review Letters, 113 (9) 095301, 095301. doi: 10.1103/PhysRevLett.113.095301

Zhan, Fei, Sabbatini, Jacopo, Davis, Matthew J. and McCulloch, Ian P. (2014). Miscible-immiscible quantum phase transition in coupled two-component Bose-Einstein condensates in one-dimensional optical lattices. Physical Review A, 90 (2) 023630. doi: 10.1103/PhysRevA.90.023630

Janani, C., Merino, J., McCulloch, Ian P. and Powell, B. J. (2014). Low-energy effective theories of the two-thirds filled Hubbard model on the triangular necklace lattice. Physical Review B - Condensed Matter and Materials Physics, 90 (3) 035120, 035120-1-035120-10. doi: 10.1103/PhysRevB.90.035120

Piraud, Marie, Cai, Zi, McCulloch, Ian P. and Schollwock, Ulrich (2014). Quantum magnetism of bosons with synthetic gauge fields in one-dimensional optical lattices: A density-matrix renormalization-group study. Physical Review A: Atomic, Molecular, and Optical Physics, 89 (6) 063618. doi: 10.1103/PhysRevA.89.063618

Halimeh, Jad C., Wollert, Anton, McCulloch, Ian, Schollwock, Ulrich and Barthel, Thomas (2014). Domain-wall melting in ultracold-boson systems with hole and spin-flip defects. Physical Review A - Atomic, Molecular, and Optical Physics, 89 (6) 063603. doi: 10.1103/PhysRevA.89.063603

Zhan, Fei and McCulloch, Ian P. (2014). Comment on "phase separation in a two-species Bose mixture". Physical Review A - Atomic, Molecular and Optical Physics, 89 (5) 057601. doi: 10.1103/PhysRevA.89.057601

Vidmar, L., Langer, S., McCulloch, I. P., Schneider, U., Schollwoeck, U. and Heidrich-Meisner, F. (2013). Sudden expansion of Mott insulators in one dimension. Physical Review B, 88 (23) 235117, 235117.1-235117.16. doi: 10.1103/PhysRevB.88.235117

Kolley F., Depenbrock S., McCulloch I.P., Schollwock U. and Alba V. (2013). Entanglement spectroscopy of SU(2)-broken phases in two dimensions. Physical Review B - Condensed Matter and Materials Physics, 88 (14) 144426, 144426.1-144426.9. doi: 10.1103/PhysRevB.88.144426

Chen, Pochung, Xue, Zhi-long, McCulloch I.P., Chung, Ming-Chiang, Cazalilla, Miguel and Yip S.-K. (2013). Entanglement entropy scaling of the XXZ chain. Journal of Statistical Mechanics: Theory and Experiment, 2013 (10) P10007, P10007. doi: 10.1088/1742-5468/2013/10/P10007

Gangat, A. A., McCulloch, I. P. and Milburn, G. J. (2013). Deterministic many-resonator W entanglement of nearly arbitrary microwave states via attractive Bose-Hubbard simulation. Physical Review X, 3 (3) 031009, 031009.1-031009.11. doi: 10.1103/PhysRevX.3.031009

Phien, Ho N., Vidal, Guifé and McCulloch, Ian P. (2013). Dynamical windows for real-time evolution with matrix product states. Physical Review B, 88 (3) 035103, 035103.1-035103.9. doi: 10.1103/PhysRevB.88.035103

Shyiko, I. T., McCulloch, I. P., Gumenjuk-Sichevska, J. V. and Kolezhuk, A. K. (2013). Double zigzag spin chain in a strong magnetic field close to saturation. Physical Review B, 88 (1) 014403, 014403.1-014403.13. doi: 10.1103/PhysRevB.88.014403

Ronzheimer, J. P., Schreiber, M., Braun, S., Hodgman, S. S., Langer, S., McCulloch, I. P., Heidrich-Meisner, F., Bloch, I. and Schneider, U. (2013). Expansion dynamics of interacting bosons in homogeneous lattices in one and two dimensions. Physical Review Letters, 110 (20) 205301, 205301.1-205301.6. doi: 10.1103/PhysRevLett.110.205301

Keßler, Stefan, McCulloch, Ian P. and Marquardt, Florian (2013). Creation and dynamics of remote spin-entangled pairs in the expansion of strongly correlated fermions in an optical lattice. New Journal of Physics, 15 (053043) 053043, 1-24. doi: 10.1088/1367-2630/15/5/053043

Phien, Ho N., Vidal, Guifre and McCulloch, Ian P. (2012). Infinite boundary conditions for matrix product state calculations. Physical Review B, 86 (24) 245107, 245107.1-245107.10. doi: 10.1103/PhysRevB.86.245107

Honer, J., Halimeh, J. C., McCulloch, I., Schollwoeck, U. and Buechler, H. P. (2012). Fractional excitations in cold atomic gases. Physical Review a, 86 (5) 051606, 051606.1-051606.5. doi: 10.1103/PhysRevA.86.051606

Bolech, C. J., Heidrich-Meisner, F., Langer, S., McCulloch, I. P., Orso, G. and Rigol, M. (2012). Long-time behavior of the momentum distribution during the sudden expansion of a spin-imbalanced fermi gas in one dimension. Physical Review Letters, 109 (11) 110602, 110602.1-110602.5. doi: 10.1103/PhysRevLett.109.110602

Depenbrock, Stefan, McCulloch, Ian P. and Schollwoeck, Ulrich (2012). Nature of the spin-liquid ground state of the S=1/2 Heisenberg model on the kagome lattice. Physical Review Letters, 109 (6) 067201. doi: 10.1103/PhysRevLett.109.067201

Dargel, P.E., Wollert, A., Honecker, A., McCulloch, I.P., Schollwock, U. and Pruschke, T. (2012). Lanczos algorithm with matrix product states for dynamical correlation functions. Physical Review B, 85 (20) 205119, 205119-1-205119-11. doi: 10.1103/PhysRevB.85.205119

Langer, S., Schuetz, M.J.A., McCulloch, I.P., Schollwock, U. and Heidrich-Meisner, F. (2012). Expansion velocity of a one-dimensional, two-component Fermi gas during the sudden expansion in the ballistic regime. Physical Review A, 85 (4) 043618, 043618-1-043618-7. doi: 10.1103/PhysRevA.85.043618

Trotzky, S., Chen, Y. A., Flesch, A., McCulloch, I. P., Schollwock, U., Eisert, J. and Bloch, I. (2012). Probing the relaxation towards equilibrium in an isolated strongly correlated one-dimensional Bose gas. Nature Physics, 8 (4), 325-330. doi: 10.1038/NPHYS2232

Peters, D., McCulloch, I. P. and Selke, W. (2012). Ground-state properties of antiferromagnetic anisotropic S=1 Heisenberg spin chains. Physical Review B, 85 (5 Article No. 054423) 054423. doi: 10.1103/PhysRevB.85.054423

Kessler, Stefan, Holzner, Andreas, McCulloch, Ian P., von Delft, Jan and Marquardt, Florian (2012). Stroboscopic observation of quantum many-body dynamics. Physical Review A, 85 (1 Article No. 011605) 011605. doi: 10.1103/PhysRevA.85.011605

Chen, Pochung, Xue, Zhi-Long, McCulloch, I. P., Chung, Ming-Chiang and Yip, S.-K. (2012). Dimerized and trimerized phases for spin-2 bosons in a one-dimensional optical lattice. Physical Review A, 85 (1) 011601, 011601.1-011601.4. doi: 10.1103/PhysRevA.85.011601

Langer, Stephan, Heyl, Markus, McCulloch, Ian P. and Heidrich-Meisner, Fabien (2011). Real-time energy dynamics in spin-1/2 Heisenberg chains. Physical Review B, 84 (39 Article No.205115) 205115. doi: 10.1103/PhysRevB.84.205115

Keilmann, Tassilo, Lanzmich, Simon, McCulloch, Ian and Roncaglia, Marco (2011). Statistically induced phase transitions and anyons in 1D optical lattices. Nature Communications, 2 (1) 361, 361-1-361-7. doi: 10.1038/ncomms1353

Holzner, Andreas, Weichselbaum, Arnold, McCulloch, Ian P., Schollwock, Ulrich and von Delft, Jan (2011). Chebyshev matrix product state approach for spectral functions. Physical Review B, 83 (19 Article No.195115) 195115. doi: 10.1103/PhysRevB.83.195115

Steinigeweg, Robin, Langer, Stephan, Heidrich-Meisner, Fabian, McCulloch, Ian P. and Brenig, Wolfram (2011). Coherent spin-current oscillations in transverse magnetic fields. Physical Review Letters, 106 (16) 160602. doi: 10.1103/PhysRevLett.106.160602

Kasztelan, C., Trotzky, S., Chen, Y. A.., Bloch, I., McCulloch, I. P., Schollwock, U. and Orso, G. (2011). Landau-Zener sweeps and sudden quenches in coupled Bose-Hubbard chains. Physical Review Letters, 106 (15) 155302. doi: 10.1103/PhysRevLett.106.155302

Smerat, Sebastian, Schoeller, Herbert, McCulloch, Ian P. and Schollwock, Ulrich (2011). Coulomb interaction effects and electron spin relaxation in the one-dimensional Kondo lattice model. Physical Review B - Condensed Matter and Materials Physics, 83 (8) 085111, 1-8. doi: 10.1103/PhysRevB.83.085111

Alet, F., Capponi, S., Nonne, H., Lecheminant, P. and McCulloch, I. P. (2011). Quantum criticality in the SO(5) bilinear-biquadratic Heisenberg chain. Physical Review B, 83 (6) 060407, 060407-1-060407-4. doi: 10.1103/PhysRevB.83.060407

Evenbly, G, Pfeifer, R. N. C., Pico, V., Iblisdir, S., Tagliacozzo, L., McCulloch, I.P. and Vidal, G. (2010). Boundary quantum critical phenomena with entanglement renormalization. Physical Review B - Condensed Matter and Materials Physics, 82 (16) 161107, 1-4. doi: 10.1103/PhysRevB.82.161107

Alet, F, McCulloch, IP, Capponi, S and Mambrini, M (2010). Valence-bond entanglement entropy of frustrated spin chains. Physical Review B - Condensed Matter and Materials Physics, 82 (9) 094452, 1-9. doi: 10.1103/PhysRevB.82.094452

Heidrich-Meisner, F., McCulloch, I. P. and Kolezhuk, A. K. (2010). Erratum : Phase diagram of an anisotropic frustrated ferromagnetic spin-1/2 chain in a magnetic field: A density matrix renormalization group study (vol 80, 144417, 2009). Physical Review B, 81 (17) 179902, 17990-2-17990-2. doi: 10.1103/PhysRevB.81.179902

Holzner, Andreas, McCulloch, Ian P., Schollwock, Ulrich, von Delft, Jan and Heidrich-Meisner, Fabian (2009). Kondo screening cloud in the single-impurity Anderson model: A density matrix renormalization group study. Physical Review B, 80 (20) 205114, 205114-1-205114-8. doi: 10.1103/PhysRevB.80.205114

Heidrich-Meisner, F., McCulloch, I. P. and Kolezhuk, A. K. (2009). Phase diagram of an anisotropic frustrated ferromagnetic spin-1/2 chain in a magnetic field: A density matrix renormalization group study. Physical Review B, 80 (14) 144417, 144417-1-144417-9. doi: 10.1103/PhysRevB.80.144417

Langer, S., Heidrich-Meisner, F., Gemmer, J., McCulloch, I. P. and Schollwock, U. (2009). Real-time study of diffusive and ballistic transport in spin-1/2 chains using the adaptive time-dependent density matrix renormalization group method. Physical Review B (Condensed Matter and Materials Physics), 79 (21) 214409, 214409.1-214409.11. doi: 10.1103/PhysRevB.79.214409

Smerat, Sebastian, Schollwock, Ulrich, McCulloch, Ian P. and Schoeller, Herbert (2009). Quasiparticles in the Kondo lattice model at partial fillings of the conduction band using the density matrix renormalization group. Physical Review B, 79 (23) 235107, 23107-1-23107-9. doi: 10.1103/PhysRevB.79.235107

Smerat, S, Schollwock, U, McCulloch, IP and Schoeller, H (2009). Quasiparticles in the Kondo lattice model at partial fillings of the conduction band using the density matrix renormalization group (vol 79, 235107, 2009). Physical Review B, 79 (24). doi: 10.1103/PhysRevB.79.249902

Barthel, T., Kasztelan, C., McCulloch, I. P. and Schollwock, U. (2009). Magnetism, coherent many-particle dynamics, and relaxation with ultracold bosons in optical superlattices. Physical Review A (Atomic, Molecular and Optical Physics), 79 (5) 053627, 053627-1-053627-19. doi: 10.1103/PhysRevA.79.053627

Peters, D., McCulloch, I. P. and Selke, W. (2009). Spin-one Heisenberg antiferromagnetic chain with exchange and single-ion anisotropies. Physical Review B, 79 (13) 132406, 132406-1-132406-4. doi: 10.1103/PhysRevB.79.132406

Kolezhuk, A. K. and McCulloch, I. P. (2009). Field-controlled spin current in frustrated spin chains. Condensed Matter Physics, 12 (3), 429-434. doi: 10.5488/CMP.12.3.429

Selke, W., Bannasch, G., Holtschneider, M., McCulloch, I. P., Peters, D. and Wessel, S. (2009). Classical and quantum anisotropic Heisenberg antiferromagnets. Condensed Matter Physics, 12 (4), 547-558. doi: 10.5488/CMP.12.4.547

Flesch, A., Cramer, M., McCulloch, I. P., Schollwock, U. and Eisert, J. (2008). Probing local relaxation of cold atoms in optical superlattices. Physical Review A, 78 (3) 033608. doi: 10.1103/PhysRevA.78.033608

Roux, G., Barthel, T., McCulloch, I. P., Kollath, C., Schollwock, U. and Giamarchi, T. (2008). Quasiperiodic Bose-Hubbard model and localization in one-dimensional cold atomic gases. Physical Review A, 78 (2) 023628. doi: 10.1103/PhysRevA.78.023628

Cramer, M., Flesch, A., McCulloch, I. P., Schollwock, U. and Eisert, J. (2008). Exploring local quantum many-body relaxation by atoms in optical superlattices. Physical Review Letters, 101 (6) 063001, Article Number: 063001. doi: 10.1103/PhysRevLett.101.063001

Kleine, A., Kollath, C., McCulloch, I. P., Giamarchi, T. and Schollwock, U. (2008). Excitations in two-component Bose gases. New Journal of Physics, 10 (4), 045025. doi: 10.1088/1367-2630/10/4/045025

McCulloch, I. P., Kube, R., Kurz, M., Kleine, A., Schollwock, U. and Kolezhuk, A. K. (2008). Vector chiral order in frustrated spin chains. Physical Review B: Condensed Matter and Materials Physics, 77 (9) 094404, 094404-1-094404-7. doi: 10.1103/PhysRevB.77.094404

Corboz, P., Troyer, M, Kleine, A., McCulloch, I. P., Schollwock, U. and Assaad, F. F. (2008). Systematic errors in Gaussian quantum Monte Carlo and a systematic study of the symmetry projection method. Physical Review B, 77 (8 Article # 085108) 085108. doi: 10.1103/PhysRevB.77.085108

Kleine, A., Kollath, C., McCulloch, I. P., Giamarchi, T. and Schollwock, U. (2008). Spin-charge separation in two-component Bose gases. Physical Review A, 77 (1) 013607, 13607-1-13607-6. doi: 10.1103/PhysRevA.77.013607

McCulloch, Ian P. (2007). From density-matrix renormalization group to matrix product states. Journal of Statistical Mechanics: Theory and Experiment, 27 (4) P10014, P10014-1-P10014-19. doi: 10.1088/1742-5468/2007/10/P10014

Friedrich, A., Kolezhuk, A. K., McCulloch, I. P. and Schollwock, U. (2007). Edge singularities in high-energy spectra of gapped one-dimensional magnets in strong magnetic fields. Physical Review B, 75 (9 Article # 094414) 094414. doi: 10.1103/PhysRevB.75.094414

Bergkvist, Sara, McCulloch, Ian P. and Rosengren, Anders (2006). Spinful bosons in an optical lattice. Physical Review A, 74 (5 Article # 053419). doi: 10.1103/PhysRevA.74.053419

Kollath, C., Iucci, A., McCulloch, I. P. and Giamarchi, T. (2006). Modulation spectroscopy with ultracold fermions in an optical lattice. Physical Review a, 74 (4 Article # 041604) 041604. doi: 10.1103/PhysRevA.74.041604

Alet, F., Dayal, P., Grzesik, A., Honecker, A., Koerner, M., Laeuchli, A., Manmana, S. R., McCulloch, I. P., Michel, F., Noack, R. M., Schmid, G., Schollwoeck, U., Stoeckli, F., Todo, S., Trebst, S., Troyer, M., Werner, P. and Wessel, S. (2005). The ALPS Project: Open Source Software for Strongly Correlated Systems. Journal of the Physical Society of Japan, 74 (Suppl), 30-35. doi: 10.1143/JPSJS.74S.30

Kruis, H. V., McCulloch, I. P., Nussinov, Z. and Zaanen, J. (2004). Geometry and the hidden order of Luttinger liquids: the universality of squeezed space. Physical Review B, 70 (7) 075109, 075109.1-075109.21. doi: 10.1103/PhysRevB.70.075109

Bakharev, ON, Abu-Shiekah, IM, Brom, HB, Nugroho, AA, McCulloch, IP and Zaanen, J (2004). NMR evidence for a two-step phase separation in Nd1.85Ce0.15CuO4-delta. Physical Review Letters, 93 (3) 037002, 037002-1. doi: 10.1103/PhysRevLett.93.037002

Gulacsi, M, McCulloch, IP, Juozapavicius, A and Rosengren, A (2004). Magnetism in the dilute Kondo lattice model. Physical Review B, 69 (17) 174425. doi: 10.1103/PhysRevB.69.174425

Kruis, H. V., McCulloch, I. P., Nussinov, Z. and Zaanen, J. (2004). Geometry and topological order in the Luttinger liquid state. Europhysics Letters, 65 (4), 512-518. doi: 10.1209/i2003-10114-3

McCulloch, I. P. and Gulacsi, M (2003). Comment on "Equivalence of the variational matrix product method and the density matrix renormalization group applied to spin chains" by J. Dukelsky et al.. Europhysics Letters, 61 (1), 138-139. doi: 10.1209/epl/i2003-00266-0

Juozapavicius, A, McCulloch, IP, Gulacsi, M and Rosengren, A (2002). Ferromagnetic phases in the Kondo lattice model. Philosophical Magazine B-Physics of Condensed Matter Statistical Mechanics Electronic Optical and Magnetic Properties, 82 (11), 1211-1224. doi: 10.1080/13642810210131809

McCulloch, I. P. and Gulacsi, M. (2002). The non-Abelian density matrix renormalization group algorithm. Europhysics Letters, 57 (6), 852-858. doi: 10.1209/epl/i2002-00393-0

McCulloch, IP, Juozapavicius, A, Rosengren, A and Gulacsi, M (2002). Localized spin ordering in Kondo lattice models. Physical Review B, 65 (5) 052410, 524101-524104. doi: 10.1103/PhysRevB.65.052410

McCulloch, IP, Juozapavicius, A, Rosengren, A and Gulacsi, M (2001). Ferromagnetism in Kondo lattice models. Philosophical Magazine Letters, 81 (12), 869-875. doi: 10.1080/09500830110092390

Mcculloch, I. P., Bishop, A. R. and Gulacsi, M. (2001). Density matrix renormalization group algorithm and the two-dimensional t-J model. Philosophical Magazine B: Physics of Condensed Matter; Statistical Mechanics, Electronic, Optical and Magnetic Properties, 81 (10), 1603-1613. doi: 10.1080/13642810110051782

McCulloch, IP and Gulacsi, M (2001). Total spin in the density matrix renormalization group algorithm. Philosophical Magazine Letters, 81 (6), 447-453. doi: 10.1080/09500830110040009

McCulloch, Ian P. and Gulácsi, Miklos (2000). Density Matrix Renormalisation Group Method and Symmetries of the Hamiltonian. Australian Journal of Physics, 53 (4), 597-612. doi: 10.1071/ph00023

McCulloch, IP and Gulacsi, M (1997). Two-dimensional Hubbard model close to half-filling. Philosophical Magazine B-Physics of Condensed Matter Statistical Mechanics Electronic Optical and Magnetic Properties, 76 (5), 819-825. doi: 10.1080/01418639708241145

Aland. R. Claire, Li, Joan and McCulloch, Ian (2023). A critical realist approach to inclusion and diversity in skin anatomy in biomedical science teaching. ANZAHPE 2023: Turning tides: Navigating the opportunities, Gold Coast, QLD, Australia, 26 - 29 June 2023.

Bolech, C. J., Heidrich-Meisner, F., Langer, S., McCulloch, I. P., Orso, G. and Rigol, M. (2013). Expansion after a geometric quench of an atomic polarized attractive Fermi gas in one dimension. 21st International Laser Physics Workshop, Calgary Canada, Jul 23-27, 2012. Bristol, United Kingdom: Institute of Physics Publishing. doi: 10.1088/1742-6596/414/1/012033

Peters, D., McCulloch, I. P. and Selke, W. (2010). Quantum Heisenberg antiferromagnetic chains with exchange and single-ion anisotropies. International Conference on Magnetism (ICM 2009), Karlsruhe, Germany, 26-31 July 2009. Bristol, United Kingdom: Institute of Physics Publishing. doi: 10.1088/1742-6596/200/2/022046

Selke, W., Bannasch, G., Holtschneider, M., McCulloch, I. P. and Peters, D. (2009). Classical and quantum anisotropic Heisenberg antiferromagnets. StatPhys2009. 3rd Conference on Statistical Physics: Modern Trends and Applications, Lviv, Ukraine, 23-25 June, 2009. Lviv, Ukraine: Instytut Fizyky Kondensovanykh System, Natsional'na Akademiya Nauk Ukrainy. doi: 10.5488/CMP.12.4.547

Ferris, Andy, Davis, Matthew and McCulloch, Ian (2009). Simulating Bose gases with tensor product states. ACOLS ACOFT 09, The University of Adelaide, 29/11/09 - 3/12/09. South Australia: The University of Queensland.

Selke, W., Bannasch, G., Holtschneider, M., McCulloch, I. P., Peters, D. and Wessel, S. (2009). Classical and quantum anisotropic Heisenberg antiferrogmagnets. The 3rd conference on statistical physics dedicated to the 100th anniversary of Mykola Bogolyubov, Lviv, Ukraine, 23-25 June 2009. Ukraine: National'na Akademiya Nauk Ukrainy.

Albuquerque, A. F., Alet, F., Corboz, P., Dayal, P., Feiguin, A., Fuchs, S., Gamper, L., Gull, E., Gurtler, S., Honecker, A., Igarashi, R., Korner, M., Kozhevnikov, A., Lauchli, A., Manmana, S. R., Matsumoto, M., McCulloch, I. P., Michel, F., Noack, R. M., Pawlowski, G., Pollet, L., Pruschke, T., Schollwock, U., Todo, S., Trebst, S., Troyer, M., Werner, P., Wessel, S. and ALPS Collaboration (2007). The ALPS project release 1.3: Open-source software for strongly correlated systems. 17th International Conference on Magnetism (ICM 2006), Kyoto, Japan, 20-25 August 2006. Amsterdam, Netherlands: Elsevier BV. doi: 10.1016/j.jmmm.2006.10.304

McCulloch, IP, Bishop, AR and Gulacsi, M (2001). Density matrix renormalization group algorithm and the two-dimensional t-J model. 2nd International Summer School on Strongly Correlated Systems, Debrecen Hungary, Sep 04-09, 2000. ABINGDON: TAYLOR & FRANCIS LTD. doi: 10.1080/13642810108208574

McCulloch, IP and Gulacsi, M (2000). Density matrix renormalisation group method and symmetries of the Hamiltonian. 9th Gordon Godfrey Workshop on Condensed Matter Physics, Sydney Australia, Nov 08, 1999. COLLINGWOOD: C S I R O PUBLISHING.

McCulloch, IP, Gulacsi, M, Caprara, S, Jazavaou, A and Rosengren, A (1999). Phase diagram of the 1D Kondo lattice model. International Conference on Physics and Chemistry of Molecular and Oxide Superconductors (MOS-99), Stockholm Sweden, Jul 28-Aug 02, 1999. NEW YORK: KLUWER ACADEMIC/PLENUM PUBL. doi: 10.1023/A:1022557314114

McCulloch, IP and Gulacsi, M (1998). Strong coupling regime in the two-dimensional Hubbard model. ICM 97 Meeting, Cairns Australia, 1997. AMSTERDAM: ELSEVIER SCIENCE BV. doi: 10.1016/S0304-8853(98)00018-3

Associate Professor Ian McCulloch

Personal Page

Teaching and Learning

Areas of research

Associate Professor Ian McCulloch

Personal Page

Teaching and Learning

Publications

Journal Articles

Conference Papers

Areas of research