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The Lindblad equation, as one approach to open quantum systems, describes the density matrix of a particle or a chain of interacting particles, which are in contact with a thermal bath. Still, it is not fully understood yet, how arbitrary…

Nuclear Theory · Physics 2025-03-13 Jan Rais , Hendrik van Hees , Carsten Greiner

The accurate description of the interaction of a quantum system with a its environment is a challenging problem ubiquitous across all areas of physics, and lies at the foundation of quantum mechanics theory. Here we pioneer a new strategy…

Quantum Physics · Physics 2024-10-21 Hideaki Takahashi , Raffaele Borrelli

The dynamics of finite dimension open quantum systems is studied with the help of the simplest possible form of projection operators, namely the ones which project only onto one dimensional subspaces. The simplicity of the action of the…

Quantum Physics · Physics 2016-08-17 Vitalii Semin , Francesco Petruccione

Weakly interacting quantum fluids allow for a natural kinetic theory description which takes into account the fermionic or bosonic nature of the interacting particles. In the simplest cases, one arrives at the Boltzmann-Nordheim equations…

Mathematical Physics · Physics 2017-12-19 Jani Lukkarinen

We consider a macroscopic quantum system such as a qubit, interacting with a bath of fermions as in the Fr\"ohlich polaron model. The interaction Hamiltonian is thus linear in the macroscopic system variable, and bilinear in the fermions.…

Quantum Physics · Physics 2020-07-16 Erik Aurell , Jan Tuziemski

The characterization of Hamiltonians and other components of open quantum dynamical systems plays a crucial role in quantum computing and other applications. Scientific machine learning techniques have been applied to this problem in a…

Quantum Physics · Physics 2026-04-07 Peter Sentz , Stanley Nicholson , Yujin Cho , Sohail Reddy , Brendan Keith , Stefanie Günther

Dynamics of quantum entanglement shared between system spins which are connected to thermal equilibrium baths is studied. Central spin system comprises of the entangled spins, and is connected to baths and one of the bath has strong…

Quantum Physics · Physics 2013-10-18 Nageswaran Rajendran

We show that coupled two level systems like qubits studied in quantum information can be used as a thermodynamic machine. At least three qubits or spins are necessary and arranged in a chain. The system is interfaced between two split baths…

Statistical Mechanics · Physics 2009-11-13 M. J. Henrich , M. Michel , G. Mahler

We model the dynamics of a closed quantum system brought out of mechanical equilibrium, undergoing a non-driven, spontaneous, thermodynamic transformation. In particular, we consider a quantum particle in a box with a moving and insulating…

Quantum Physics · Physics 2024-02-21 Sofia Sgroi , Mauro Paternostro

We develop a statistical framework for the dynamical closure of spatiotemporal dynamics governed by partial differential equations. Employing the mathematical framework of quantum mechanics to embed the original classical dynamics into a…

Dynamical Systems · Mathematics 2026-03-17 Chris Vales , David C. Freeman , Joanna Slawinska , Dimitrios Giannakis

A precise understanding of the influence of a quantum system's environment on its dynamics, which is at the heart of the theory of open quantum systems, is crucial for further progress in the development of controllable large-scale quantum…

Quantum Physics · Physics 2022-10-10 I. A. Luchnikov , E. O. Kiktenko , M. A. Gavreev , H. Ouerdane , S. N. Filippov , A. K. Fedorov

We investigate how fermionic anticommutation shapes transport in a noninteracting resonant-level model where a single central site is coupled to an environment. To this end, we compare a fermionic reservoir with a bath of spin-half modes…

Quantum Physics · Physics 2025-10-08 Muhammad Zia , Moritz Cygorek , Erik M. Gauger , Brendon W. Lovett

We study the steady states of translation-invariant open quantum many-body systems governed by Lindblad master equations, where the Hamiltonian is quadratic in the ladder operators, and the Lindblad operators are either linear or quadratic…

Quantum Physics · Physics 2023-11-02 Yikang Zhang , Thomas Barthel

Redfield master equation was applied to study the dynamics of an ensemble of interacting pairs of unlike spins at room temperature. This spin quantum system is a workbench quantum model to analyze the relaxation dynamics of a heteronuclear…

Quantum Physics · Physics 2024-08-20 A. Consuelo-Leal , Hugo D. Fernández Sare , R. Auccaise

A systematic approach to the non-Markovian quantum dynamics of open systems is given by the projection operator techniques of nonequilibrium statistical mechanics. Combining these methods with concepts from quantum information theory and…

Quantum Physics · Physics 2007-05-23 Heinz-Peter Breuer

We put forth a new class of quantum master equations that correctly reproduce the asymptotic state of an open quantum system beyond the infinitesimally weak system-bath coupling limit. Our method is based on incorporating the knowledge of…

Quantum Physics · Physics 2022-11-10 Tobias Becker , Alexander Schnell , Juzar Thingna

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

Motivated by understanding the emergence of thermodynamic restoring forces and oscillations, we develop a quantum-mechanical model of a bath of spins coupled to the elasticity of a material. We show our model reproduces the behavior of a…

Quantum Physics · Physics 2016-10-10 Chiao-Hsuan Wang , Jacob M. Taylor

In this paper, we study the exact dynamics of general open systems interacting with its environment through particle exchanges. The paper includes two main results. First, by taking advantage of the propagating function in the coherent…

Quantum Physics · Physics 2020-08-26 Fei-Lei Xiong , Wei-Min Zhang

All physical systems are to some extent open and interacting with their environment. This insight, basic as it may seem, gives rise to the necessity of protecting quantum systems from decoherence in quantum technologies and is at the heart…

Quantum Physics · Physics 2020-05-05 S. Groeblacher , A. Trubarov , N. Prigge , G. D. Cole , M. Aspelmeyer , J. Eisert