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Considering an $N$-level system interacting factorizably with a continuous spectrum, we derive analytical expressions for the bound states and the dynamical evolution within this single-excitation Friedrichs model by using the projection…

Quantum Physics · Physics 2025-12-22 Jia-Ming Zhang , Yu Xin , Bing Chen

Open quantum systems provide an essential theoretical basis for the development of novel quantum technologies, since any real quantum system inevitably interacts with its environment. Lindblad master equations capture the effect of…

Quantum Physics · Physics 2022-12-14 Gary Schmiedinghoff , Götz S. Uhrig

Understanding the thermodynamic role of measurement in quantum mechanical systems is a burgeoning field of study. In this article, we study a double quantum dot (DQD) connected to two macroscopic fermionic thermal reservoirs. We assume that…

Quantum Physics · Physics 2025-10-07 Laetitia P. Bettmann , Michael J. Kewming , John Goold

We provide a general macrostatistical formulation of nonequilibrium steady states of reservoir driven quantum systems. This formulation is centred on the large scale properties of the locally conserved hydrodynamical observables, and our…

Mathematical Physics · Physics 2009-11-11 Geoffrey L. Sewell

We introduce a general method to determine the large scale non-equilibrium steady-state properties of one-dimensional multi-species driven diffusive systems with open boundaries, generalizing thus the max-min current principle known for…

Statistical Mechanics · Physics 2023-09-13 Luigi Cantini , Ali Zahra

The driven-dissipative many-body problem remains one of the most challenging unsolved problems in quantum mechanics. The advent of quantum computers may provide a unique platform for efficiently simulating such driven-dissipative systems.…

Quantum Physics · Physics 2020-08-19 Lorenzo Del Re , Brian Rost , A. F. Kemper , J. K. Freericks

Fluctuation theorems (FTs) quantify the thermodynamic reversibility of a system, and for deterministic systems they are defined in terms of the dissipation function. However, in a nonequilibrium steady state of deterministic dynamics, the…

Statistical Mechanics · Physics 2026-03-24 Stephen Sanderson , Charlotte F. Petersen , Debra J. Searles

We analyze a quantum reservoir engineering method, originally introduced by [Sarlette et al. in Phys. Rev. Lett. 107, 010402 (2011) -- arXiv 1011.5057], for the stabilization of non-classical field states in high quality cavities. We…

Quantum Physics · Physics 2015-06-04 A. Sarlette , Z. Leghtas , M. Brune , J. M. Raimond , P. Rouchon

In this paper, we have investigated the preservation of quantum Fisher information of a single-qubit system coupled to a common zero temperature reservoir through the addition of noninteracting qubits. The results show that, the QFI is…

Quantum Physics · Physics 2018-01-17 Youneng Guo , Qinglong Tian , Yunfei Mo , K Zeng

We study particle current in a recently proposed model for coherent quantum transport. In this model a system connected to mesoscopic Fermi reservoirs (meso-reservoir) is driven out of equilibrium by the action of super reservoirs…

Statistical Mechanics · Physics 2013-01-01 S. Ajisaka , F. Barra , C. Mejia-Monasterio , T. Prosen

Deterministic diffusive systems such as the periodic Lorentz gas, multi-baker map, as well as spatially periodic systems of interacting particles, have non-equilibrium stationary states with fractal properties when put in contact with…

Statistical Mechanics · Physics 2009-08-28 Felipe Barra , Pierre Gaspard , Thomas Gilbert

We study the effects of dissipative boundaries in many-body systems at continuous quantum transitions, when the parameters of the Hamiltonian driving the unitary dynamics are close to their critical values. As paradigmatic models, we…

Statistical Mechanics · Physics 2021-09-01 Francesco Tarantelli , Ettore Vicari

Rigorous derivations of the approach of individual elements of large isolated systems to a state of thermal equilibrium, starting from arbitrary initial states, are exceedingly rare. This is particularly true for quantum mechanical systems.…

Quantum Physics · Physics 2024-05-29 Stephan De Bievre , Marco Merkli , Paul E. Parris

We use a phenomenological field theory, reflecting the symmetries and conservation laws of sandpiles, to compare the driven dissipative sandpile, widely studied in the context of self-organized criticality, with the corresponding…

Statistical Mechanics · Physics 2009-10-31 Alessandro Vespignani , Ronald Dickman , Miguel A. Munoz , Stefano Zapperi

We put forward a relation between the static charge fluctuations and the conductance of correlated many-fermion systems at zero temperature, avoiding the use of time-dependent fluctuations as in the fluctuation-dissipation theorem. Static…

Strongly Correlated Electrons · Physics 2022-04-18 Yuchi He , Dante M. Kennes , Volker Meden

We present the stochastic thermodynamics analysis of an open quantum system weakly coupled to multiple reservoirs and driven by a rapidly oscillating external field. The analysis is built on a modified stochastic master equation in the…

Statistical Mechanics · Physics 2015-05-12 Gregory Bulnes Cuetara , Andreas Engel , Massimiliano Esposito

Dynamical systems theory provides powerful methods to extract effective macroscopic dynamics from complex systems with slow modes and fast modes. Here we derive and theoretically support a macroscopic, spatially discrete, model for a class…

Analysis of PDEs · Mathematics 2010-03-12 Wei Wang , A. J. Roberts

We study open quantum systems whose evolution is governed by a master equation of Kossakowski-Gorini-Sudarshan-Lindblad type and give a characterization of the convex set of steady states of such systems based on the generalized Bloch…

Quantum Physics · Physics 2010-10-05 S. G. Schirmer , Xiaoting Wang

We study the dissipative stabilization of entangled states in arrays of quantum systems. Specifically, we are interested in the states of qubits (spin-1/2) which may or may not interact with one or more cavities (bosonic modes). In all…

Quantum Physics · Physics 2024-01-29 Jacopo Angeletti , Stefano Zippilli , David Vitali

Floquet theory is an indispensable tool for analysing periodically-driven quantum many-body systems. Although it does not universally extend to classical systems, some of its methodologies can be adopted in the presence of well-separated…

Statistical Mechanics · Physics 2022-08-22 Thomas Veness , Kay Brandner
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