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Thermal density matrices can be described by a pure quantum state within the thermofield formalism. Here we show how to construct a class of Hamiltonians realizing a thermofield state as their ground state. These Hamiltonians are…

Statistical Mechanics · Physics 2013-08-06 Adrian E. Feiguin , Israel Klich

The dynamical and topological properties of non-Hermitian systems have attracted great attention in recent years. In this work, we establish an intrinsic connection between two classes of intriguing phenomena -- topological phases and…

Quantum Physics · Physics 2021-06-18 Longwen Zhou , Qianqian Du

The accurate description and robust computational modeling of the nonequilibrium properties of quantum systems remain a challenge in condensed matter physics. In this work, we develop a linear-scale computational simulation technique for…

Disordered Systems and Neural Networks · Physics 2024-02-23 Niaz Ali Khan , Wen Chen , Munsif Jan , Gao Xianlong

Motivated by recent progress on non-Hermitian topological band theories, we study the energy spectrum of a generic two-band non-Hermitian Hamiltonian. We prove rigorously that the complex energy spectrum of such a non-Hermitian Hamiltonian…

Mesoscale and Nanoscale Physics · Physics 2019-05-24 Jonatan Melkær Midtgaard , Zhigang Wu , Yu Chen

We apply a new formalism to derive the higher-order quantum kinetic expansion (QKE) for studying dissipative dynamics in a general quantum network coupled with an arbitrary thermal bath. The dynamics of system population is described by a…

Chemical Physics · Physics 2015-06-15 Jianlan Wu , Jianshu Cao

We explore the near adiabatic dynamics in a non-Hermitian quantum many-body system by investigating a finite-time ramp of the imaginary vector potential in the interacting Hatano-Nelson model. The excess energy, the Loschmidt echo, and the…

Quantum Physics · Physics 2025-03-24 Léonce Dupays , Adolfo del Campo , Balázs Dóra

Non-Hermiticity greatly expands existing physical laws beyond the Hermitian framework, revealing various novel phenomena with unique properties. Up to now, most exotic nonHermitian effects, such as exceptional points and non-Hermitian skin…

Mesoscale and Nanoscale Physics · Physics 2021-09-20 Weixuan Zhang , Fengxiao Di , Hao Yuan , Haiteng Wang , Xingen Zheng , Lu He1 , Houjun Sun , Xiangdong Zhang

Quantum systems are often classified into Hermitian and non-Hermitian ones. Extraordinary non-Hermitian phenomena, ranging from the non-Hermitian skin effect to the supersensitivity to boundary conditions, have been widely explored. Whereas…

Quantum Gases · Physics 2022-05-25 Chenwei Lv , Ren Zhang , Zhengzheng Zhai , Qi Zhou

The non-Hermitian systems exhibit extreme sensitivity to the boundary conditions. The change in the eigenspectrum with tunning boundary parameter is intimately connected to the non-Hermitian skin effect. The single-particle systems are…

Disordered Systems and Neural Networks · Physics 2025-02-21 Kuldeep Suthar

We discuss the systematic engineering of quasicrystals in open quantum systems where quasiperiodicity is introduced through purely dissipative processes. While the resulting short-time dynamics is governed by non-Hermitian variants of the…

Quantum Gases · Physics 2022-03-11 Tianyu Li , Yong-Sheng Zhang , Wei Yi

To effectively realize a $\cal PT$-symmetric system, one can dilate a $\cal PT$-symmetric Hamiltonian to some global Hermitian one and simulate its evolution in the dilated Hermitian system. However, with only a global Hermitian…

Quantum Physics · Physics 2021-07-14 Minyi Huang , Ray-Kuang Lee , Junde Wu

Quantum computers have long been anticipated to excel in simulating quantum many-body physics. While most previous work has focused on Hermitian physics, we demonstrate the power of variational quantum circuits for resource-efficient…

Quantum Physics · Physics 2025-04-15 Yuxuan Zhang , Juan Carrasquilla , Yong Baek Kim

We study the effects of dissipative boundaries in many-body systems at continuous quantum transitions, when the parameters of the Hamiltonian driving the unitary dynamics are close to their critical values. As paradigmatic models, we…

Statistical Mechanics · Physics 2021-09-01 Francesco Tarantelli , Ettore Vicari

We present a non-perturbative framework for deriving effective Hamiltonians that describe low-energy excitations in quantum many-body systems. The method combines block diagonalization based on the Cederbaum--Schirmer--Meyer transformation…

Strongly Correlated Electrons · Physics 2025-05-19 Tsutomu Momoi , Owen Benton

The development of non-Hermitian topological band theory has led to observations of novel topological phenomena in effectively classical, driven and dissipative systems. However, for open quantum many-body systems, the absence of a ground…

Mesoscale and Nanoscale Physics · Physics 2021-07-14 Sharareh Sayyad , Jinlong Yu , Adolfo G. Grushin , Lukas M. Sieberer

We examine the limits of applicability of a simple non-Hermitian model for exciton/plasmon interactions in the presence of dissipation and dephasing. The model can be used as an alternative to the more complete Lindblad density matrix…

Quantum Physics · Physics 2020-03-18 Cristian L. Cortes , Matthew Otten , Stephen K. Gray

Dispersionless bands -- flatbands -- have been actively studied thanks to their interesting properties and sensitivity to perturbations, which makes them natural candidates for exotic states. In parallel non-Hermitian systems have attracted…

Mesoscale and Nanoscale Physics · Physics 2021-07-14 Wulayimu Maimaiti , Alexei Andreanov

Entanglement is one of the key feature of quantum world that has no classical counterpart. This arises due to the linear superposition principle and the tensor product structure of the Hilbert space when we deal with multiparticle systems.…

Quantum Physics · Physics 2011-09-14 Arun Kumar Pati

While non-Hermitian systems are normally constructed through incoherent coupling to a larger environment, recent works have shown that under certain conditions coherent couplings can be used to similar effect. We show that this new paradigm…

Applied Physics · Physics 2022-10-21 Noah Flemens , Jeffrey Moses

Quantum physics can be extended into the complex domain by considering non-Hermitian Hamiltonians that are $\mathcal{PT}$-symmetric. These exhibit exceptional points (EPs) where the eigenspectrum changes from purely real to purely imaginary…

Quantum Physics · Physics 2025-06-23 Jia-Jia Wang , Yu-Hong He , Chang-Geng Liao , Rong-Xin Chen , Jacob A. Dunningham
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