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We compare two approaches to open quantum systems, namely, the non-Hermitian dynamics and the Lindblad master equation. In order to deal with more general dissipative phenomena, we propose the unified master equation that combines the…

Quantum Physics · Physics 2014-09-10 Konstantin G. Zloshchastiev , Alessandro Sergi

Despite significant theoretical efforts devoted to studying the interaction between quantized light modes and matter, the so-called ultra-strong coupling regime still presents significant challenges for theoretical treatments and prevents…

Quantum Physics · Physics 2024-03-22 Maksim Lednev , Francisco J. García-Vidal , Johannes Feist

Given a linear open quantum system which is described by a Lindblad master equation, we detail the calculation of the moment evolution equations from this master equation. We stress that the moment evolution equations are well-known, but…

Quantum Physics · Physics 2018-08-29 Shan Ma , Matthew J. Woolley , Ian R. Petersen

Open quantum systems are a subject of immense interest as their understanding is crucial in the implementation of modern quantum technologies. In the study of their dynamics, the role of the initial system-environment correlations is…

Quantum Physics · Physics 2023-01-19 Ali Raza Mirza , Mah Noor Jamil , Adam Zaman Chaudhry

Most works on open quantum systems generally focus on the reduced physical system by tracing out the environment degrees of freedom. Here we show that the qubit distributions with the environment are essential for a thorough analysis, and…

Quantum Physics · Physics 2014-12-24 John H. Reina , Cristian E. Susa , Felipe F. Fanchini

Correlations between a system and its environment lead to errors in an open quantum system. Detecting those correlations would be valuable for avoiding and/or correcting those errors. Here we show that we can detect correlations by only…

Quantum Physics · Physics 2021-10-13 Sarah Hagen , Mark Byrd

We present a Bayesian algorithm to identify generators of open quantum system dynamics, described by a Lindblad master equation, that are compatible with measured experimental data. The algorithm, based on a Markov Chain Monte Carlo…

Quantum Physics · Physics 2025-09-15 Stewart Wallace , Yoann Altmann , Brian D. Gerardot , Erik M. Gauger , Cristian Bonato

We consider a class of open quantum many-body Lindblad dynamics characterized by an all-to-all coupling Hamiltonian and by dissipation featuring collective ``state-dependent" rates. The latter encodes local incoherent transitions that…

Statistical Mechanics · Physics 2023-08-16 Eliana Fiorelli , Markus Müller , Igor Lesanovsky , Federico Carollo

This text is a short introduction to the physics of driven-dissipative many-body systems, focusing on a few selected topics. Beyond its more ``historical'' interest in the study of atomic physics and quantum optics, presently the modeling…

Quantum Physics · Physics 2026-04-02 Fabrizio Minganti , Alberto Biella

The Lindblad equation determines the time evolution of the density operator of open quantum systems. While valid for any system size, its use is, in practice, restricted to prototype/surrogate models with the aim of tackling specific…

Quantum Physics · Physics 2026-04-07 Benedikt M. Reible , Somayeh Ahmadkhani , Luigi Delle Site

The Lindblad (GKLS) master equation, which represents the mathematical form for the general evolution of a density matrix, is a versatile and widely-used tool in open quantum systems. In contrast with the typical approach of imposing…

Quantum Physics · Physics 2026-04-17 Eugenia Pyurbeeva , Ronnie Kosloff

We introduce a new framework to study the dynamics of open quantum systems with linearly coupled Gaussian baths. Our approach replaces the continuous bath with an auxiliary discrete set of pseudomodes with dissipative dynamics, but we…

Quantum Physics · Physics 2024-11-26 Gunhee Park , Zhen Huang , Yuanran Zhu , Chao Yang , Garnet Kin-Lic Chan , Lin Lin

Being able to study the dynamics of quantum systems interacting with several environments is important in many settings ranging from quantum chemistry to quantum thermodynamics, through out-of-equilibrium systems. For such problems tensor…

Quantum Physics · Physics 2025-05-22 Thibaut Lacroix , Brendon W. Lovett , Alex W. Chin

We present a general master equation, correct to second order in the system-environment coupling strength, that takes into account the initial system-environment correlations. We assume that the system and its environment are in a joint…

Quantum Physics · Physics 2021-10-13 Ali Raza Mirza , Muhammad Zia , Adam Zaman Chaudhry

Open quantum systems with nearly degenerate energy levels have been shown to exhibit long-lived metastable states in the approach to equilibrium, even when modelled with certain Lindblad-form quantum master equations. This is a result of…

Quantum Physics · Physics 2024-02-16 Matthew Gerry , Michael J. Kewming , Dvira Segal

In this paper, we investigate the problem of simulating open system dynamics governed by the well-known Lindblad master equation. In our prequel paper, we introduced an input model in which Lindblad operators are encoded into pure quantum…

Quantum Physics · Physics 2023-11-14 Dhrumil Patel , Mark M. Wilde

A system-bath entanglement theorem (SBET) with Gaussian environments was established previously in J. Chem. Phys. 152, 034102 (2020) in terms of linear response functions. This theorem connects the system-bath entanglement responses to the…

Quantum Physics · Physics 2023-12-22 Yu Su , Yao Wang , Rui-Xue Xu , YiJing Yan

We consider an open quantum Fermi-system which consists of a single degenerate level with pairing interactions embedded into a superconducting bath. The time evolution of the reduced density matrix for the system is given by Linblad master…

Superconductivity · Physics 2015-05-28 Daniel S. Kosov , Tomaz Prosen , Bojan Zunkovic

The time evolution of an open quantum system is governed by the Gorini-Kossakowski-Sudarshan-Lindlad equation for the reduced density operator of the system. This operator is obtained from the full density operator of the composite system…

Quantum Physics · Physics 2024-10-10 Aleek Maity , V V Sreedhar

We propose a method which combines the quantum-classical mapping approach to surface hopping (MASH) with the dissipative quantum dynamics of the Lindblad master equation. Like conventional surface-hopping methods, our approach is based on…

Quantum Physics · Physics 2026-03-31 Kasra Asnaashari , Jeremy O. Richardson
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