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The ground states of noninteracting fermions in one-dimension with chiral symmetry form a class of topological band insulators, described by a topological invariant that can be related to the Zak phase. Recently, a generalization of this…

Strongly Correlated Electrons · Physics 2023-04-05 Paolo Molignini , Nigel Cooper

We investigate the effects of temperature on the higher-order topological insulators (HOTIs). The finite-temperature topological invariants for the HOTIs can be constructed by generalizing the Resta's polarization for the ground state to…

Statistical Mechanics · Physics 2025-05-07 Congwei Lu , Lixiong Wu , Qing Ai

The mixedness of a quantum state is usually seen as an adversary to topological quantization of observables. For example, exact quantization of the charge transported in a so-called Thouless adiabatic pump is lifted at any finite…

In a recent paper [Bardyn et al. Phys. Rev. X 8, 011035 (2018)], it was shown that the generalization of the many-body polarization to mixed states can be used to construct a topological invariant which is also applicable to…

Quantum Physics · Physics 2019-07-31 C. D. Mink , M. Fleischhauer , R. Unanyan

The ensemble geometric phase (EGP) has been proposed as a topological indicator for finite-temperatures systems. The ensemble Wilson loop, or the transfer matrix, contains the crucial information in the EGP construction. We propose a proxy…

Mesoscale and Nanoscale Physics · Physics 2022-02-23 Aixin Pi , Ye Zhang , Yan He , Chih-Chun Chien

We investigate topological properties of density matrices motivated by the question to what extent phenomena like topological insulators and superconductors can be generalized to mixed states in the framework of open quantum systems. The…

Quantum Physics · Physics 2015-05-01 Jan Carl Budich , Sebastian Diehl

We investigate whether there could exist topological invariants of gapped 2D materials related to dissipationless thermoelectric transport at low temperatures. We give both macroscopic and microscopic arguments showing that thermoelectric…

Strongly Correlated Electrons · Physics 2021-07-13 Michael Levin , Anton Kapustin , Lev Spodyneiko

We demonstrate the existence of topological phase transitions in interacting, symmetry-protected quantum matter at finite temperatures. Using a combined numerical and analytical approach, we study a one-dimensional Su-Schrieffer-Heeger…

Quantum Gases · Physics 2025-02-11 Ze-Min Huang , Sebastian Diehl

We present a unified kinetic theory that describes the finite-temperature, non-equilibrium dynamics of a Bose-Einstein condensed gas interacting with a thermal cloud. This theory includes binary interactions to second order in the…

Statistical Mechanics · Physics 2007-05-23 J. Wachter , R. Walser , J. Cooper , M. Holland

In this paper we develop a gapless theory of BEC which can be applied to both trapped and homogeneous gases at zero and finite temperature. The many-body Hamiltonian for the system is written in a form which is approximately quadratic with…

Statistical Mechanics · Physics 2009-10-31 S. A. Morgan

A system with equal number of positive and negative charges confined in a box with a small but finite thickness is modeled as a function of temperature using mesoscale numerical simulations, for various values of the charges. The Coulomb…

Soft Condensed Matter · Physics 2023-01-09 A. Gama Goicochea , Z. Nussinov

We investigate the interplay between the non-Hermiticity and finite temperature in the context of mixed state dynamical quantum phase transition (MSDQPT). We consider a $p$-wave superconductor model, encompassing complex hopping and…

Statistical Mechanics · Physics 2023-05-26 Debashish Mondal , Tanay Nag

It is shown that the von Neumann entropy, a measure of quantum entanglement, does have its classical counterpart in thermodynamic systems, which we call partial entropy. Close to the critical temperature the partial entropy shows perfect…

Strongly Correlated Electrons · Physics 2009-11-11 Junpeng Cao , Xiaoling Cui , Zhang Qi , Wengang Lu , Qian Niu , Yupeng Wang

A finite temperature many-particle theory of condensed matter systems is formulated using the functional Schroedinger picture. Using the interacting electron gas as a model system, we solve the equation of motion for the density matrix…

Strongly Correlated Electrons · Physics 2008-02-03 Hyun Sik Noh , Sang Koo You , Chul Koo Kim

Entanglement entropy in topologically ordered matter phases has been computed extensively using various methods. In this paper, we study the entanglement entropy of topological phases in two-spaces from a new perspective---the perspective…

Strongly Correlated Electrons · Physics 2019-06-14 Yuting Hu , Yidun Wan

We show here that numerous examples abound where changing topology does not necessarily close the bulk insulating charge gap as demanded in the standard non-interacting picture. From extensive determinantal and dynamical cluster quantum…

Strongly Correlated Electrons · Physics 2024-01-12 Peizhi Mai , Jinchao Zhao , Thomas A. Maier , Barry Bradlyn , Philip W. Phillips

We systematically investigate the ground state phase diagram and the finite temperature phase transitions for a Rydberg-dressed Fermi gas loaded in a bilayer optical lattice. When an effective finite-ranged attraction is induced, our…

Quantum Gases · Physics 2022-08-02 Jiapei Zhuang , Ching-Yu Huang , Po-Yao Chang , Daw-Wei Wang

We examine the thermal behavior of a theory with charged massive vector matter coupled to Chern-Simons gauge field. We obtain a critical temperature Tc, at which the effective mass of vector field vanishes, and the system transfers from a…

High Energy Physics - Theory · Physics 2007-05-23 Wei Chen

We theoretically study finite temperature properties of interacting fermion systems under geometrical frustration in the charge degree of freedom. Physical quantities such as charge structure factors, the specific heat, and the entropy, of…

Strongly Correlated Electrons · Physics 2020-02-27 Kazuyoshi Yoshimi , Makoto Naka , Hitoshi Seo

We propose a diagnostic for finite temperature topological order using `topological entanglement negativity', the long-range component of a mixed-state entanglement measure. As a demonstration, we study the toric code model in $d$ spatial…

Strongly Correlated Electrons · Physics 2020-09-16 Tsung-Cheng Lu , Timothy H. Hsieh , Tarun Grover
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