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In this paper we show how the transposition, the basic operation of the permutation group, can be taken into account in a diffusion process of identical particles. Whereas in an earlier approach the method was applied to systems in which…

Statistical Mechanics · Physics 2015-06-25 F. Luczak , F. Brosens , J. T. Devreese , L. F. Lemmens

Many-body entangled systems, in particular topologically ordered spin systems proposed as resources for quantum information processing tasks, often involve highly non-local interaction terms. While one may approximate such systems through…

Quantum Physics · Physics 2011-12-20 Samuel A. Ocko , Beni Yoshida

Non-Hermitian two-site ``dimers'' serve as minimal models in which to explore the interplay of gain and loss in dynamical systems. In this paper, we experimentally and theoretically investigate the dynamics of non-Hermitian dimer models…

Mesoscale and Nanoscale Physics · Physics 2023-08-02 Enrico Martello , Yaashnaa Singhal , Bryce Gadway , Tomoki Ozawa , Hannah M. Price

The entanglement dynamics in a non-Hermitian quantum system is studied numerically and analyzed from the viewpoint of quasiparticle picture. As a concrete model, we consider a one-dimensional tight-binding model with asymmetric hopping…

Quantum Physics · Physics 2023-12-15 Takahiro Orito , Ken-Ichiro Imura

The operators of localized spins within a magnetic material commute at different sites of its lattice and anticommute on the same site, so they are neither fermionic nor bosonic operators. Thus, to construct diagrammatic many-body…

Strongly Correlated Electrons · Physics 2021-11-23 Utkarsh Bajpai , Abhin Suresh , Branislav K. Nikolic

The description of states and dynamics in non-Hermitian systems is fundamentally linked to the choice of an appropriate theoretical framework -- a point of ongoing debate in the field. This work addresses this issue by proposing a…

Quantum Physics · Physics 2026-05-07 Fei Wang , Guoying Liang , Zecheng Zhao , Bao-Ming Xu

We introduce a dissipative lattice gauge model that exhibits the many-body version of the non-Hermitian skin effect. The dissipative couplings between dynamical gauge fields on the lattice links and the surrounding environment generate…

Quantum Physics · Physics 2025-12-29 Yu-Min Hu , Zijian Wang , Biao Lian , Zhong Wang

The basic features of the dynamics of open quantum systems, such as the dissipation of energy, the decay of coherences, the relaxation to an equilibrium or non-equilibrium stationary state, and the transport of excitations in complex…

Quantum Physics · Physics 2012-08-09 Heinz-Peter Breuer

We analyze the dynamics of a spin 1/2 subsystem coupled to a spin chain. We simulate numerically the full quantum many-body system for various sets of parameters and initial states of the chain, and characterize the divisibility of the…

Quantum Physics · Physics 2020-04-22 J. Roos , J. I. Cirac , M. C. Bañuls

Controlling dynamical fluctuations in open quantum systems is essential both for our comprehension of quantum nonequilibrium behaviour and for its possible application in near-term quantum technologies. However, understanding these…

Statistical Mechanics · Physics 2020-10-07 Federico Carollo , Carlos Pérez-Espigares

The quantum jump approach allows to characterize the stochastic dynamics associated to an open quantum system submitted to a continuous measurement action. In this paper we show that this formalism can consistently be extended to…

Quantum Physics · Physics 2013-09-03 Adrian A. Budini

We introduce time-ordered multibody interactions to describe complex systems manifesting temporal as well as multibody dependencies. First, we show how the dynamics of multivariate Markov chains can be decomposed in ensembles of…

Physics and Society · Physics 2023-10-17 Unai Alvarez-Rodriguez , Luka V. Petrović , Ingo Scholtes

Nonreciprocal interactions that violate Newton's law 'actio=reactio' are ubiquitous in nature and are currently intensively investigated in active matter, chemical reaction networks, population dynamics, and many other fields. An…

Statistical Mechanics · Physics 2026-02-24 Atul Tanaji Mohite , Heiko Rieger

Robust boundary states have been the focus of much recent research, both as topologically protected states and as non-Hermitian skin states. In this work, we show that many-body effects can also induce analogs of these robust states in…

Strongly Correlated Electrons · Physics 2021-11-10 Ching Hua Lee

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…

Mesoscale and Nanoscale Physics · Physics 2025-11-24 Florian Koch , Yu-Min Hu , Jan Carl Budich

Non-Hermitian quantum systems exhibit fascinating characteristics such as non-Hermitian topological phenomena and skin effect, yet their studies are limited by the intrinsic difficulties associated with their eigenvalue problems, especially…

Mesoscale and Nanoscale Physics · Physics 2024-01-23 Guang Yang , Yongkang Li , Yongxu Fu , Zhenduo Wang , Yi Zhang

This study investigates the intricate relationship between dissipative processes of open quantum systems and the non-Hermitian quantum field theory of relativistic fermionic systems. By examining the influence of dissipative effects on…

High Energy Physics - Theory · Physics 2024-10-01 Y. M. P. Gomes

Unraveling the mechanisms of ergodicity breaking in complex quantum systems is a central pursuit in nonequilibrium physics. In this work, we investigate a one-dimensional spin model featuring a tunable long-range hopping term, $H_{n}$,…

Quantum Physics · Physics 2025-12-17 Y. S. Liu , X. Z. Zhang

We revisit the fate of the skin modes in many-body non-Hermitian fermionic systems. Contrary to the single-particle case, the many-body ground state cannot exhibit an exponential localization of all eigenstates due to the Pauli exclusion…

Mesoscale and Nanoscale Physics · Physics 2023-05-05 Faisal Alsallom , Loïc Herviou , Oleg V. Yazyev , Marta Brzezińska

Employing the quadratic fermionic Hamiltonians for the collective and internal subsystems with a linear coupling, we studied the role of fermionic statistics on the dynamics of the collective motion. The transport coefficients are discussed…

Quantum Physics · Physics 2015-06-22 V. V. Sargsyan , G. G. Adamian , N. V. Antonenko , D. Lacroix
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