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It is by now well understood that quantum dissipative processes can be harnessed and turned into a resource for quantum-information processing tasks. In this paper we demonstrate yet another way in which this is true by providing a…

Quantum Physics · Physics 2016-02-17 Paolo Zanardi , Jeffrey Marshall , Lorenzo Campos Venuti

In a recent paper a slightly modified version of the Bateman system, originally proposed to describe a damped harmonic oscillator, was proposed. This system is really different from the Bateman's one, in the sense that this latter cannot be…

Mathematical Physics · Physics 2025-06-30 Fabio Bagarello

With their constantly increasing peak performance and memory capacity, modern supercomputers offer new perspectives on numerical studies of open many-body quantum systems. These systems are often modeled by using Markovian quantum master…

In order to simplify the theoretical description of spasers, a gain medium is commonly represented by a two-level system. A realistic model, however, should have four levels. By using the Lindblad equations we develop a description of such…

Other Condensed Matter · Physics 2018-05-30 Evgeny D. Chubchev , Eugeny S. Andrianov , Alexey P. Vinogradov , Alexander A. Lisyansky

We find analytical solutions to the evolution of interacting two-level atoms when the master equation is symmetric under the permutation of atomic labels. The master equation includes atomic independent dissipation. The method to obtain the…

Quantum Physics · Physics 2020-08-26 W. Alvarez-Giron , P. Barberis-Blostein

Using Lindblad dynamics we study quantum spin systems with dissipative boundary dynamics that generate a stationary nonequilibrium state with a non-vanishing spin current that is locally conserved except at the boundaries. We demonstrate…

Strongly Correlated Electrons · Physics 2017-04-26 Vladislav Popkov , Gunter M. Schütz

We propose a new type of symmetry breaking mechanism that takes boundaries into account, and show how it can detect surface modes by interpreting them as the order parameter associated with a generalized symmetry breaking. We argue that…

Materials Science · Physics 2020-11-24 Sinéad M. Griffin , Michele Schiavina

The quantum dynamics of a dense and dipole-dipole coupled ensemble of two-level emitters interacting via their environmental thermostat is investigated. The static dipole-dipole interaction strengths are being considered strong enough but…

Quantum Physics · Physics 2024-08-12 Mihai A. Macovei

We present an equation-free dynamic renormalization approach to the computational study of coarse-grained, self-similar dynamic behavior in multidimensional particle systems. The approach is aimed at problems for which evolution equations…

Dynamical Systems · Mathematics 2009-11-11 Yu Zou , Ioannis Kevrekidis , Roger Ghanem

We generalize the theory of flow equations to open quantum systems focusing on Lindblad master equations. We introduce and discuss three different generators of the flow that transform a linear non-Hermitian operator into a diagonal one. We…

Quantum Physics · Physics 2020-12-30 Lorenzo Rosso , Fernando Iemini , Marco Schirò , Leonardo Mazza

We present a canonical derivation of an influence superoperator which generates the reduced dynamics of a Fermionic quantum system linearly coupled to a Fermionic environment initially at thermal equilibrium. We use this formalism to derive…

Quantum Physics · Physics 2023-01-19 Mauro Cirio , Po-Chen Kuo , Yueh-Nan Chen , Franco Nori , Neill Lambert

We explore theoretically the physics of a collection of two-level systems coupled to a single-mode bosonic field in the non-standard configuration where each (artificial) atom is coupled to both field quadratures of the boson mode. We…

Quantum Physics · Physics 2014-08-05 Alexandre Baksic , Cristiano Ciuti

In this article we investigate driven dissipative quantum dynamics of an ensemble of two-level systems given by a Markovian master equation with collective and non-collective dissipators. Exploiting the permutation symmetry in our model, we…

Quantum Physics · Physics 2021-02-03 Konrad Merkel , Valentin Link , Kimmo Luoma , Walter T. Strunz

Quantum master equations form an important tool in the description of transport problems in open quantum systems. However, they suffer from the difficulty that the shape of the Lindblad dissipator depends sensibly on the system Hamiltonian.…

Statistical Mechanics · Physics 2017-02-01 Jader P. Santos , Gabriel T. Landi

The presence of energy barriers in the state space of a physical system can lead to exponentially slow convergence for sampling algorithms like Markov chain Monte Carlo (MCMC). In the classical setting, replica exchange (or parallel…

Quantum Physics · Physics 2025-12-01 Zherui Chen , Joao Basso , Zhiyan Ding , Lin Lin

We review two important non-perturbative approaches for extracting the physics of low-dimensional strongly correlated quantum systems. Firstly, we start by providing a comprehensive review of non-Abelian bosonization. This includes an…

Strongly Correlated Electrons · Physics 2018-03-14 Andrew J. A. James , Robert M. Konik , Philippe Lecheminant , Neil J. Robinson , Alexei M. Tsvelik

Phase transitions in dissipative quantum systems have been investigated using various analytical approaches, particularly in the mean-field (MF) limit. However, analytical results often depend on specific methodologies. For instance,…

Statistical Mechanics · Physics 2023-08-09 Minjae Jo , Bukyoung Jhun , B. Kahng

We investigate the dissipative dynamics yielded by the Lindblad equation within the coexistence region around a first order phase transition. In particular, we consider an exactly-solvable fullyconnected quantum Ising model with n-spin…

Statistical Mechanics · Physics 2019-09-11 Andrea Nava , Michele Fabrizio

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

We present a new paradigm for the dynamical simulation of interacting many-boson open quantum systems. The method relies on a variational ansatz for the $n$-boson density matrix, in terms of a superposition of photon-added coherent states.…

Quantum Physics · Physics 2023-06-27 David S. Schlegel , Fabrizio Minganti , Vincenzo Savona