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Starting from a microscopic description of weak system-bath interactions, we derive from first principles a quantum master equation that does not rely on the well-known rotating wave approximation. This includes generic many-body systems,…

Quantum Physics · Physics 2026-03-11 Matteo Scandi , Álvaro M. Alhambra

Given the recent developments in quantum techniques, modeling the physical Hamiltonian of a target quantum many-body system is becoming an increasingly practical and vital research direction. Here, we propose an efficient strategy combining…

Quantum Physics · Physics 2023-06-26 Tian-Lun Zhao , Shi-Xin Hu , Yi Zhang

We present a theory for the dynamical evolution of a quantum system coupled to a complex many-body intrinsic system/environment. By modelling the intrinsic many-body system with parametric random matrices, we study the types of effective…

Nuclear Theory · Physics 2009-10-30 Aurel Bulgac , Gui DoDang , Dimitri Kusnezov

We survey the recent progress made in understanding non equilibrium dynamics in closed random systems. The emphasis is on the important role played by concepts from quantum information theory and on the application of systematic…

Disordered Systems and Neural Networks · Physics 2015-09-21 Ehud Altman , Ronen Vosk

The skin effect, characterized by the tendency of particles to accumulate at the boundaries, has been extensively studied in non-Hermitian systems. In this work, we propose an intuitive Lindbladian composed of two chains with reversed skin…

Quantum Physics · Physics 2024-11-13 Xu Feng , Shu Chen

Precise algorithms capable of providing controlled solutions in the presence of strong interactions are transforming the landscape of quantum many-body physics. Particularly exciting breakthroughs are enabling the computation of non-zero…

World-wide efforts aim at the realization of advanced quantum simulators and processors. However, despite the development of intricate hardware and pulse control systems, it may still not be generally known which effective quantum dynamics,…

We discuss an open driven-dissipative many-body system, in which the competition of unitary Hamiltonian and dissipative Liouvillian dynamics leads to a nonequilibrium phase transition. It shares features of a quantum phase transition in…

Quantum Gases · Physics 2010-08-06 Sebastian Diehl , Andrea Tomadin , Andrea Micheli , Rosario Fazio , Peter Zoller

Many-body localization is shown to suppress imaginary parts of complex eigenenergies for general non-Hermitian Hamiltonians having time-reversal symmetry. We demonstrate that a real-complex transition, which we conjecture occurs upon…

Disordered Systems and Neural Networks · Physics 2019-09-04 Ryusuke Hamazaki , Kohei Kawabata , Masahito Ueda

Efficient simulations of the dynamics of open systems is of wide importance for quantum science and tech-nology. Here, we introduce a generalization of the transfer-tensor, or discrete-time memory kernel, formalism to multi-time measurement…

Quantum Physics · Physics 2020-11-09 Mathias R. Jørgensen , Felix A. Pollock

We investigate the nonequilibrium dynamics of a groundstate fermionic many body gas subjected to a quench between parameter regimes of a topologically nontrivial Hamiltonian. By focusing on the role of the chiral edge states inherent to the…

Quantum Physics · Physics 2024-12-04 Sarika Sasidharan Nair , Giedrius Žlabys , Wen-Bin He , Thomás Fogarty , Thomas Busch

We study the boundary-dissipated transverse field Ising model described by a Lindblad Master equation and exactly solve its Liouvillian spectrum in the whole parameter space. By mapping the Liouvillian into a Su-Schrieffer-Heeger model with…

Quantum Physics · Physics 2023-07-20 Zhen-Yu Zheng , Xueliang Wang , Shu Chen

We study the dynamics induced by quenching an ultracold quantum many-body system between two supersymmetric Hamiltonians. Such a quench can be created by carefully changing the external trapping potential and leads to a situation where the…

Quantum Physics · Physics 2022-07-22 Christopher Campbell , Thomás Fogarty , Thomas Busch

Spectral functions of non-Hermitian Hamiltonians can reveal the existence of topologically non-trivial line gaps and the associated topological edge modes. However, the computation of spectral functions in a non-Hermitian many-body system…

Quantum Physics · Physics 2023-03-10 Guangze Chen , Fei Song , Jose L. Lado

Dissipation in open systems enriches the possible symmetries of the Hamiltonians beyond the Hermitian framework allowing the possibility of novel non-Hermitian topological phases, which exhibit long-living end states that are protected…

Quantum Physics · Physics 2023-04-05 Wojciech Brzezicki , Matti Silveri , Marcin Płodzień , Francesco Massel , Timo Hyart

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

Post-selecting against quantum jumps into the ground state confines the evolution of the three-level system to the excited states manifold, effectively realizing a PT-symmetric non-Hermitian qubit. In this work, by introducing…

Quantum Physics · Physics 2025-10-27 Roson Nongthombam , Aman Verma , Amarendra K. Sarma

We present a super-polynomial improvement in the precision scaling of quantum simulations for coupled classical-quantum systems in this paper. Such systems are found, for example, in molecular dynamics simulations within the…

We investigate dynamical quantum phase transitions in disordered quantum many-body models that can support many-body localized phases. Employing $l$-bits formalism, we lay out the conditions for which singularities indicative of the…

Statistical Mechanics · Physics 2019-03-11 Jad C. Halimeh , Nikolay Yegovtsev , Victor Gurarie

Recent experiments have reported that novel physics emerge in open quantum many-body sys- tems due to an interplay of interactions and dissipation, which stimulate theoretical studies of the many-body Lindblad equation. Although the strong…

Statistical Mechanics · Physics 2024-01-30 Takashi Mori
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