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We provide a systematic framework for constructing generic models of nonequilibrium quantum dynamics with a target stationary (mixed) state. Our framework identifies (almost) all combinations of Hamiltonian and dissipative dynamics that…

Quantum Physics · Physics 2025-01-29 Jinkang Guo , Oliver Hart , Chi-Fang Chen , Aaron J. Friedman , Andrew Lucas

Fluctuation dissipation theorems connect the linear response of a physical system to a perturbation to the steady-state correlation functions. Until now, most of these theorems have been derived for finite-dimensional systems. However, many…

Statistical Mechanics · Physics 2019-08-22 Mohammad Mehboudi , Juan. M. R. Parrondo , Antonio Acin

We present a microscopic approach to quantum dissipation and sketch the derivation of the kinetic equation describing the evolution of a simple quantum system in interaction with a complex quantum system. A typical quantum complex system is…

Quantum Physics · Physics 2009-10-31 Aurel Bulgac , Giu Do Dand , Dimitri Kusnezov

We establish the potential of continuous-variable Gaussian states of linear dynamical systems for machine learning tasks. Specifically, we consider reservoir computing, an efficient framework for online time series processing. As a…

the stability criterion is constructed for open quantum systems which govern by quantum stochastic differential equations (QSDE) both for quantum observable flow and the stochastic density operator. We derive stability criteria (local,…

Quantum Physics · Physics 2009-07-21 Javad Sharifi , Hamidreza Momeni

We consider a model dissipative quantum-mechanical system realized by coupling a quantum oscillator to a semi-infinite classical string which serves as a means of energy transfer from the oscillator to the infinity and thus plays the role…

Other Condensed Matter · Physics 2007-05-23 E. Anisimovas , A. Matulis

We derive an exact master equation that captures the dynamics of a quadratic quantum system linearly coupled to a Gaussian environment of the same statistics: the Gaussian Master Equation (GME). Unlike previous approaches, our formulation…

Quantum Physics · Physics 2026-01-21 Antonio D'Abbruzzo , Vittorio Giovannetti , Vasco Cavina

The present work analyzes state-stabilization techniques for decoupling a subsystem from environmental interactions. The proposed framework uses analytical and numerical tools to find an approximate decoherence-free subspace (DFS) with…

Quantum Physics · Physics 2025-07-11 Miguel Casanova , Francesco Ticozzi

This note starts with a recapitulation of what people call the ``Measurement Problem'' of Quantum Mechanics (QM). The dissipative nature of the quantum-mechanical time-evolution of averages of states over large ensembles of identical…

Quantum Physics · Physics 2026-03-27 Jürg Fröhlich , Alessandro Pizzo

We report a driven-dissipative mechanism to generate stationary entangled $W$ states among strongly-interacting quantum emitters placed within a cavity. Driving the ensemble into the highest energy state -- whether coherently or…

Quantum Physics · Physics 2025-09-08 Alejandro Vivas-Viaña , Diego Martín-Cano , Carlos Sánchez Muñoz

We propose a new method for pure-state and subspace preparation in quantum systems, which employs the output of a continuous measurement process and switching dissipative control to improve convergence speed, as well as robustness with…

Quantum Physics · Physics 2024-06-24 Tommaso Grigoletto , Francesco Ticozzi

We provide experimental evidence of quantum features in bi-partite states classified as entirely classical according to a conventional criterion based on the Glauber P-function but possessing non-zero Gaussian quantum discord. Their quantum…

Generic open quantum systems are notoriously difficult to simulate unless one looks at specific regimes. In contrast, classical dissipative systems can often be effectively described by stochastic processes, which are generally less…

Quantum Physics · Physics 2025-12-02 Charlie R. Hogg , Jonas Glatthard , Federico Cerisola , Janet Anders

Distillation of entanglement using only Gaussian operations is an important primitive in quantum communication, quantum repeater architectures, and distributed quantum computing. Existing distillation protocols for continuous degrees of…

Quantum Physics · Physics 2013-05-30 Earl T. Campbell , Jens Eisert

We consider the problem of time optimal control of a continuous bosonic quantum system subject to the action of a Markovian dissipation. In particular, we consider the case of a one mode Gaussian quantum system prepared in an arbitrary…

Quantum Physics · Physics 2014-12-01 Alberto Carlini , Andrea Mari , Vittorio Giovannetti

We investigate a theoretical protocol for the dissipative stabilization of mechanical quantum states in a multimode optomechanical system composed of multiple optical and mechanical modes. The scheme employs a single squeezed reservoir that…

Quantum Physics · Physics 2026-05-20 Nahid Yazdi , Stefano Zippilli , David Vitali

The dissipative dynamics of Gaussian squeezed states (GSS) and coherent superposition states (CSS) are analytically obtained and compared. Time scales for sustaining different quantum properties such as squeezing, negativity of the Wigner…

Quantum Physics · Physics 2009-11-13 L. A. M. Souza , M. C. Nemes , M. França Santos , J. G. Peixoto de Faria

The assumption that quantum systems relax to a stationary state in the long-time limit underpins statistical physics and much of our intuitive understanding of scientific phenomena. For isolated systems this follows from the eigenstate…

Quantum Physics · Physics 2019-04-16 Berislav Buca , Joseph Tindall , Dieter Jaksch

A general framework for analyzing the recently discovered phase transitions in the steady state of dissipation-driven open quantum systems is still missing. In order to fill this gap we extend the so-called fidelity approach to quantum…

Quantum Physics · Physics 2014-02-12 Leonardo Banchi , Paolo Giorda , Paolo Zanardi

The ensemble-averaged dynamics of open quantum systems are typically irreversible. We show that this irreversibility need not hold at the level of individually monitored quantum trajectories. Our main results are analytical stochastic…

Quantum Physics · Physics 2025-12-23 Einar Gabbassov