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In this paper we review the theory of open quantum systems and macroscopic quantum electrodynamics, providing a self-contained account of many aspects of these two theories. The former is presented in the context of a qubit coupled to a…

Mesoscale and Nanoscale Physics · Physics 2021-09-27 T. V. C. Antão , N. M. R. Peres

We introduce a numerical method to sample the distributions of charge, heat, and entropy production in open quantum systems coupled strongly to macroscopic reservoirs, with both temporal and energy resolution and beyond the linear-response…

Master equations are a useful tool to describe the evolution of open quantum systems. In order to characterize the mathematical features and the physical origin of the dynamics, it is often useful to consider different kinds of master…

Quantum Physics · Physics 2020-08-24 Nina Megier , Andrea Smirne , Bassano Vacchini

In open systems, topological edge states quickly lose coherence and cannot be used in topological quantum computation and quantum memory. Here we show that for dissipative quantum spin (or fermionic) systems, topologically non-Hermitian…

Quantum Physics · Physics 2023-05-16 Xing-Shuo Xu , Xiang-Fa Zhou , Guang-Can Guo , Zheng-Wei Zhou

The Lindblad approach to open quantum systems is introduced for studying the dynamics of a single trapped ion prepared in nonclassical motional states and subjected to continuous measurement of its internal population. This results in an…

Quantum Physics · Physics 2009-10-30 Roberto Onofrio , Lorenza Viola

Time evolution of the expectation values of various dynamical operators of the harmonic oscillator with dissipation is analitically obtained within the framework of the Lindblad theory for open quantum systems. We deduce the density matrix…

Quantum Physics · Physics 2007-05-23 A. Isar

We refine a fluctuation-dissipation framework for quantum dynamical semigroups to resolve a long-standing ambiguity in Markovian master equations. For finite-dimensional systems, we prove that the underlying diffusion-dissipation structure…

Quantum Physics · Physics 2025-12-02 Fabricio Toscano , Sergey Sergeev

We investigate dissipative extensions of the Su-Schrieffer-Heeger model with regard to different approaches of modeling dissipation. In doing so, we use two distinct frameworks to describe the gain and loss of particles, one uses Lindblad…

Quantum Physics · Physics 2018-10-02 Felix Dangel , Marcel Wagner , Holger Cartarius , Jörg Main , Günter Wunner

Based on the stabilizer formalism underlying Quantum Error Correction (QEC), the design of an original Lindblad master equation for the density operator of a quantum harmonic oscillator is proposed. This Lindblad dynamics stabilizes exactly…

In the present work we investigate the existence of multiple nonequilibrium steady states in a coherently driven XY lattice of dissipative two-level systems. A commonly used mean-field ansatz, in which spatial correlations are neglected,…

Quantum Physics · Physics 2016-06-20 J. J. Mendoza-Arenas , S. R. Clark , S. Felicetti , G. Romero , E. Solano , D. G. Angelakis , D. Jaksch

Analyzing routes of transport for open quantum systems with non-equilibrium initial conditions is extremely challenging. The state-to-state approach [A. Bose, and P.L. Walters, J. Chem. Theory Comput. 2023, 19, 15, 4828-4836] has proven to…

Quantum Physics · Physics 2026-04-14 Devansh Sharma , Amartya Bose

The celebrated Lindblad equation governs the non-unitary time evolution of density operators used in the description of open quantum systems. It is usually derived from the von Neumann equation for a large system, at given physical…

Quantum Physics · Physics 2025-08-26 Benedikt M. Reible , Luigi Delle Site

We study the dissipative preparation of many-body entangled Gaussian states in bosonic lattice models which could be relevant for quantum technology applications. We assume minimal resources, represented by systems described by…

Quantum Physics · Physics 2021-03-04 Stefano Zippilli , David Vitali

We present an approach for efficiently simulating strongly damped quantum systems subjected to periodic driving, employing a periodic matrix product operator representation of the influence functional. This representation enables the…

Quantum Physics · Physics 2026-04-17 Konrad Mickiewicz , Valentin Link , Walter T. Strunz

Inverse design of a property that depends on the steady-state of an open quantum system is commonly done by grid-search type of methods. In this paper we present a new methodology that allows us to compute the gradient of the steady-state…

Quantum Physics · Physics 2020-11-26 Rodrigo A. Vargas-Hernández , Ricky T. Q. Chen , Kenneth A. Jung , Paul Brumer

In this work, we give a polynomial-time quantum algorithm for solving the ground states of a class of classically hard Hamiltonians. The mechanism of the exponential speedup that appeared in our algorithm comes from dissipation in open…

Quantum Physics · Physics 2024-11-13 Zhong-Xia Shang , Zi-Han Chen , Chao-Yang Lu , Jian-Wei Pan , Ming-Cheng Chen

Master equations describe the quantum dynamics of open systems interacting with an environment. They play an increasingly important role in understanding the emergence of semiclassical behavior and the generation of entropy, both being…

Quantum Physics · Physics 2009-10-31 Hans-Thomas Elze

In this paper we derive an extra class of non-Markovian master equations where the system state is written as a sum of auxiliary matrixes whose evolution involve Lindblad contributions with local coupling between all of them, resembling the…

Quantum Physics · Physics 2007-05-23 Adrian A. Budini

Methods for modeling large driven dissipative quantum systems are becoming increasingly urgent due to recent experimental progress in a number of photonic platforms. We demonstrate the positive-P method to be ideal for this purpose across a…

Quantum Physics · Physics 2021-02-09 Piotr Deuar , Alex Ferrier , Michał Matuszewski , Giuliano Orso , Marzena H. Szymańska

We present an effective operator formalism for open quantum systems. Employing perturbation theory and adiabatic elimination of excited states for a weakly driven system, we derive an effective master equation which reduces the evolution to…

Quantum Physics · Physics 2012-07-03 Florentin Reiter , Anders S. Sørensen
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