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相关论文: Many-body Liouvillian dynamics with a non-Hermitia…

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We introduce a method to efficiently study the dynamical properties of many-body localized systems in the regime of strong disorder and weak interactions. Our method reproduces qualitatively and quantitatively the real-time evolution with a…

无序系统与神经网络 · 物理学 2019-07-03 Giuseppe De Tomasi , Frank Pollmann , Markus Heyl

We examine the applicability of the numerically accurate method of time dependent variation with multiple Davydov Ansatze (mDA) to non-Hermitian systems. Three systems of interest includes: a non-Hermitian system of dissipative Landau-Zener…

量子物理 · 物理学 2024-11-05 L. Zhang , K. Shen , Y. Yan , K. Sun , M. F. Gelin , Y. Zhao

Capturing non-Markovian dynamics of open quantum systems is generally a challenging problem, especially for strongly-interacting many-body systems. In this work, we combine recently developed non-Markovian quantum state diffusion techniques…

量子物理 · 物理学 2022-02-23 Stuart Flannigan , François Damanet , Andrew J. Daley

Rich phenomenology emerges at the intersection of non-Hermiticity and many-body dynamics, yet physically realizable implementations remain challenging. In this work, we propose a general formalism that maps non-Hermitian many-body…

其他凝聚态物理 · 物理学 2025-09-09 Zichang Hao , Wei Jie Chan , Ching Hua Lee

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…

介观与纳米尺度物理 · 物理学 2021-07-14 Sharareh Sayyad , Jinlong Yu , Adolfo G. Grushin , Lukas M. Sieberer

In the thermodynamic limit, the steady states of open quantum many-body systems can undergo nonequilibrium phase transitions due to a competition between coherent and driven-dissipative dynamics. Here, we consider Markovian systems and…

量子物理 · 物理学 2023-09-04 Thomas Barthel , Yikang Zhang

The Liouvillian skin effect and the non-Hermitian skin effect have both been used to explain the localization of eigenmodes near system boundaries, though the former is arguably more accurate in some regimes due to its incorporation of…

Characterization of near-term quantum computing platforms requires the ability to capture and quantify dissipative effects. This is an inherently challenging task, as these effects are multifaceted, spanning a broad spectrum from Markovian…

量子物理 · 物理学 2025-04-15 Diogo Aguiar , Kristian Wold , Sergey Denisov , Pedro Ribeiro

The static and dynamical properties of a one-dimensional quantum system described by a non-Hermitian Hamiltonian of the so-called Hatano-Nelson type; a tight-binding model with asymmetric (or non-reciprocal) hopping, are studied. The static…

量子物理 · 物理学 2023-06-21 Takahiro Orito , Ken-Ichiro Imura

Many-body localization (MBL), characterized by the absence of thermalization and the violation of conventional thermodynamics, has elicited much interest both as a fundamental physical phenomenon and for practical applications in quantum…

无序系统与神经网络 · 物理学 2019-12-17 Pai Peng , Zeyang Li , Haoxiong Yan , Ken Xuan Wei , Paola Cappellaro

The non-Markovian dynamics of open quantum systems is still a challenging task, particularly in the non-perturbative regime at low temperatures. While the Stochastic Liouville-von Neumann equation (SLN) provides a formally exact tool to…

统计力学 · 物理学 2016-12-21 Michael Wiedmann , Jürgen T. Stockburger , Joachim Ankerhold

We develop the algebraic method based on the Lie algebra of quadratic combinations of left and right superoperators associated with matrices to study the Lindblad dynamics of multimode bosonic systems coupled a thermal bath and described by…

量子物理 · 物理学 2025-06-23 Andrei Gaidash , Alexei D. Kiselev , Anton Kozubov , George Miroshnichenko

Despite recent intensive research on topological aspects of open quantum systems, effects of strong interactions have not been sufficiently explored. In this paper, we demonstrate that complex-valued interactions induce the Liouvillian skin…

强关联电子 · 物理学 2024-01-23 Shu Hamanaka , Kazuki Yamamoto , Tsuneya Yoshida

In the case of quantum systems interacting with multiple environments, the time-evolution of the reduced density matrix is described by the Liouvillian. For a variety of physical observables, the long-time limit or steady state solution is…

量子物理 · 物理学 2022-01-05 Rodrigo A. Vargas-Hernández , Ricky T. Q. Chen , Kenneth A. Jung , Paul Brumer

Understanding the relationship between many-body localization and spectra in non-Hermitian many-body systems is crucial. In a one-dimensional clean, long-range interaction-induced non-Hermitian many-body localization system, we have…

无序系统与神经网络 · 物理学 2025-10-10 Wen Wang , Han-Ze Li , Jian-Xin Zhong

Quantum dots are one of the paradigmatic solid-state systems for quantum engineering, providing an outstanding tunability to explore fundamental quantum phenomena. Here we show that non-Hermitian many-body topological modes can be realized…

介观与纳米尺度物理 · 物理学 2022-02-07 Timo Hyart , Jose L. Lado

Open quantum systems far from thermal equilibrium can exhibit remarkable physical phenomena including topological properties without a direct equilibrium counterpart. Along these lines, in periodically driven dissipative systems within the…

介观与纳米尺度物理 · 物理学 2025-11-24 Florian Koch , Yu-Min Hu , Jan Carl Budich

The control of open quantum systems has a fundamental relevance for fields ranging from quantum information processing to nanotechnology. Typically, the system whose coherent dynamics one wants to manipulate, interacts with an environment…

介观与纳米尺度物理 · 物理学 2007-06-20 Gonzalo A. Alvarez

Solving non-Hermitian quantum many-body systems on a quantum computer by minimizing the variational energy is challenging as the energy can be complex. Here, based on energy variance, we propose a variational method for solving the…

量子物理 · 物理学 2024-02-21 Xu-Dan Xie , Zheng-Yuan Xue , Dan-Bo Zhang

Quantum many-body simulation provides a straightforward way to understand fundamental physics and connect with quantum information applications. However, suffering from exponentially growing Hilbert space size, characterization in terms of…