Speaker: Professor Huan-Qiang Zhou
Affiliation: Chongqing University


A universal finite system-size scaling analysis of the entanglement entropy is presented for highly degenerate ground states arising from spontaneous symmetry breaking with type-B Goldstone modes in exactly solvable one-dimensional quantum many-body systems. These states appear to be scale-invariant, but not conformally invariant. Our findings are based on a physical argument, imposing three constraints  on the entanglement entropy, in addition to further confirmation from an asymptotic analysis of the entanglement entropy for the ${\rm SU}(2)$ spin-$1/2$ ferromagnetic states. The resulting universal scaling form is demonstrated for three fundamental models -- the ${\rm SU}(2)$ spin-$s$ Heisenberg ferromagnetic model, the ${\rm SU}(N+1)$ ferromagnetic model, and the staggered ${\rm SU}(3)$ spin-1 ferromagnetic  biquadratic model. The results point towards a classification for distinct types of scale-invariant states,  relevant to a complete classification of quantum states of matter.

This talk is based on a joint work with Qian-Qian Shi from CQU, Chongqing, China, Ian P. McCulloch from UQ, Brisbane, Australia, and Murray T. Batchelor from CQU, Chongqing, China and ANU, Canberra, Australia.

About Physics Seminars

The weekly Physics Seminar series focuses on a broad range of physics research within SMP, along with frequent presentations from visiting researchers. Seminars are usually scheduled for 1.00pm on Tuesdays.

The talks are typically more specialised than a colloquium but are often attended by staff and PhD students across a broad range of areas. Speakers are thus encouraged to include introductory material in the talks.

All SMP researchers and HDR students are encouraged to speak. Please email Glen Harris to register your interest.

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Previous recorded physics seminars 


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