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Non-Hermitian Hamiltonians, which describe a wide range of dissipative systems, and higher-order topological phases, which exhibit novel boundary states on corners and hinges, comprise two areas of intense current research. Here we…

介观与纳米尺度物理 · 物理学 2019-03-13 Elisabet Edvardsson , Flore K. Kunst , Emil J. Bergholtz

We address the breakdown of the bulk-boundary correspondence observed in non-Hermitian systems, where open and periodic systems can have distinct phase diagrams. The correspondence can be completely restored by considering the Hamiltonian's…

介观与纳米尺度物理 · 物理学 2019-05-24 Loic Herviou , Jens H. Bardarson , Nicolas Regnault

Bulk-boundary correspondence, connecting the bulk topology and the edge states, is an essential principle of the topological phases. However, the bulk-boundary correspondence is broken down in general non-Hermitian systems. In this paper,…

介观与纳米尺度物理 · 物理学 2021-02-24 Yang Cao , Yang Li , Xiaosen Yang

The dynamics of bosons in generic multimode systems, such as Bose-Hubbard models, is not only determined by interactions among the particles, but also by their mutual indistinguishability manifested in many-particle interference. We…

量子物理 · 物理学 2018-05-25 Tobias Brünner , Gabriel Dufour , Alberto Rodríguez , Andreas Buchleitner

We study a subsector of the AdS_4/CFT_3 correspondence where a class of solutions in the bulk and on the boundary can be explicitly compared. The bulk gravitational theory contains a conformally coupled scalar field with a Phi^4 potential,…

高能物理 - 理论 · 物理学 2010-02-03 Sebastian de Haro , Anastasios C. Petkou

Symmetries play a pivotal role in our understanding of the properties of quantum many-body systems. While there are theorems and a well-established toolbox for systems in thermal equilibrium, much less is known about the role of symmetries…

In this paper, we investigate a family of one-dimensional multi-component quantum many-body systems. The interaction is an exchange interaction based on the familiar family of integrable systems which includes the inverse square potential.…

凝聚态物理 · 物理学 2009-10-22 Bill Sutherland , B. Sriram Shastry

The concept of partial symmetry is introduced for an interacting fermion system. The associated Hamiltonians are shown to be closely related to a realistic nuclear quadrupole-quadrupole interaction. An application to $^{12}$C is presented.

核理论 · 物理学 2017-08-23 Jutta Escher

We show that the bulk-boundary correspondence for topological insulators can be modified in the presence of non-Hermiticity. We consider a one-dimensional tight-binding model with gain and loss as well as long-range hopping. The system is…

量子物理 · 物理学 2016-04-04 Tony E. Lee

We formulate one dimensional many-body integrable systems in terms of a new set of phase space variables involving exchange operators. The hamiltonian in these variables assumes a decoupled form. This greatly simplifies the derivation of…

高能物理 - 理论 · 物理学 2009-10-22 Alexios P. Polychronakos

Manifestations of dipole-dipole interactions in dilute thermal gases are difficult to sense because of strong inhomogeneous broadening. Recent experiments reported signatures of such interactions in fluorescence detection-based measurements…

量子物理 · 物理学 2021-09-16 Benedikt Ames , Edoardo G. Carnio , Vyacheslav Shatokhin , Andreas Buchleitner

We perform a systematic symmetry classification of many-body Lindblad superoperators describing general (interacting) open quantum systems coupled to a Markovian environment. Our classification is based on the behavior of the many-body…

统计力学 · 物理学 2023-08-24 Lucas Sá , Pedro Ribeiro , Tomaž Prosen

Understanding the nonlocality of many-body systems offers valuable insights into the behaviors of these systems and may have practical applications in quantum simulation and quantum computing. Gisin's Theorem establishes the equivalence of…

量子物理 · 物理学 2023-03-28 Ming-Xing Luo , Shao-Ming Fei

The symmetry-based indicator [H. C. Po, A. Vishwanath, H. Watanabe, Nat. Commun. 8, 50 (2017)] is a practical tool to diagnose topological materials in the band theory. In this note, we present two directions to generalize the…

介观与纳米尺度物理 · 物理学 2019-08-01 Ken Shiozaki

We demonstrate that the quantum mutual information (QMI) is a useful probe to study many-body localization (MBL). First, we focus on the detection of a metal--insulator transition for two different models, the noninteracting…

强关联电子 · 物理学 2017-01-11 Giuseppe De Tomasi , Soumya Bera , Jens H. Bardarson , Frank Pollmann

Confined quantum systems involving $N$ identical interacting fermions are found in many areas of physics, including condensed matter, atomic, nuclear and chemical physics. In a previous series of papers, a manybody perturbation method that…

量子物理 · 物理学 2015-06-18 D. K. Watson

Non-Hermitian skin-edge states emerge only at one edge in one-dimensional nonreciprocal chains, where all states are localized at the edge irrespective of eigenvalues. The bulk topological number is the winding number associated with the…

介观与纳米尺度物理 · 物理学 2019-05-10 Motohiko Ezawa

Non-perturbative aspects of the quantum many-body problem are revisited, discussed and advanced in the equation of motion framework. We compare the approach to the two-fermion response function truncated on the two-body level by the cluster…

核理论 · 物理学 2020-01-01 Elena Litvinova , Peter Schuck

Topological insulators are physically distinguishable from normal insulators only near edges and defects, while in the bulk there is no clear signature to their topological order. In this work we show that the Z index of topological…

介观与纳米尺度物理 · 物理学 2011-06-24 Zohar Ringel , Yaacov E. Kraus

The holographic correspondence predicts that certain strongly coupled quantum systems describe an emergent, higher-dimensional bulk spacetime in which excitations enjoy local dynamics. We consider a general holographic state dual to an…

高能物理 - 理论 · 物理学 2025-02-24 Simon Caron-Huot , Joydeep Chakravarty , Keivan Namjou
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