Associate Professor Ian McCulloch
Associate Professor
School of Mathematics and Physics
+61 7 336 52473
Physics Annexe (06), Room 331
Personal Page
Associate Professor Ian McCulloch's personal page
Teaching and Learning
Dr McCulloch teaches 3rd year fields in physics.
Researcher biography
Dr McCulloch's research interests are computational methods for quantum many-body systems, specifically using Tensor Network methods. Dr McCulloch has made significant contributions to the field, especially in the realm of the one-dimensional version of Tensor Networks known as Matrix Product States (MPS). Dr McCulloch has 20 years of experience in developing sophisticated, high performance computational software and tools, and applying them to open problems in condensed matter and quantum physics.
| Featured projects | Duration |
|---|---|
| Tensor Network / Matrix Product State methods for computational quantum many-body problems |
Journal Articles
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. doi: 10.1103/physrevb.107.094432
Halimeh, Jad C., McCulloch, Ian P., Yang, Bing and Hauke, Philipp (2022). Tuning the Topological
θ
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
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
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
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). 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), P10014-1-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), 037002-1. 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
Conference Papers
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
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. 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
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
Conference Proceedings
Ihor Tukhnovskii ed. (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, Instytut Fizky.