Different temperature dependence for the edge and bulk of the entanglement Hamiltonian

Song, Menghan; Zhao, Jiarui; Yan, Zheng; Meng, Zi Yang

doi:10.1103/physrevb.108.075114

Cited by 4 publications

(1 citation statement)

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“…Due to the n-fold expansion of the configuration space and the nontrivial connectivity between the replicas during the sampling processes, obtaining numerical data of EE with good quality in QMC simulations has remained a very challenging task. Despite the difficulty, we note there are recent progresses in the nonequilibrium incremental algorithm to obtain the S n with high efficiencies and precisions [15,16,18,34] and similar advances in measuring the ES [17,19] in QMC simulations, which effectively solve the difficulties in measuring EE in boson/spin systems in (2+1)D.…”

Section: Introductionmentioning

confidence: 99%

Many versus one: The disorder operator and entanglement entropy in fermionic quantum matter

Jiang,

Chen,

Liu

et al. 2023

SciPost Phys.

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Motivated by recent development of the concept of the disorder operator and its relation with entanglement entropy in bosonic systems, here we show the disorder operator successfully probes many aspects of quantum entanglement in fermionic many-body systems. From both analytical and numerical computations in free and interacting fermion systems in 1D and 2D, we find the disorder operator and the entanglement entropy exhibit similar universal scaling behavior, as a function of the boundary length of the subsystem, but with subtle yet important differences. In 1D they both follow the \log{L}logL scaling behavior with the coefficient determined by the Luttinger parameter for disorder operator, and the conformal central charge for entanglement entropy. In 2D they both show the universal L\log LLlogL scaling behavior in free and interacting Fermi liquid states, with the coefficients depending on the geometry of the Fermi surfaces. However at a 2D quantum critical point with non-Fermi-liquid state, extra symmetry information is needed in the design of the disorder operator, so as to reveal the critical fluctuations as does the entanglement entropy. Our results demonstrate the fermion disorder operator can be used to probe quantum many-body entanglement related to global symmetry, and provide new tools to explore the still largely unknown territory of highly entangled fermion quantum matter in 2 or higher dimensions.

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