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Open system dynamics in a classical setting is microscopically governed by the structure of the thermal environment which influences the dynamics of the probe particle (free or in an external potential). Nonlinear baths have recently been…

Statistical Mechanics · Physics 2018-07-20 Chitrak Bhadra , Ion Santra , Dhruba Banerjee

We investigate the dynamics of a quantum system coupled linearly to Gaussian white noise using functional methods. By performing the integration over the noisy field in the evolution operator, we get an equivalent non-Hermitian Hamiltonian,…

Quantum Physics · Physics 2016-07-20 O. Oliveira , W. de Paula , T. Frederico , M. S. Hussein

The vast majority of the literature dealing with quantum dynamics is concerned with linear evolution of the wave function or the density matrix. A complete dynamical description requires a full understanding of the evolution of measured…

Quantum noise correlations have been employed in several areas in physics including condensed matter, quantum optics and ultracold atom to reveal non-classical states of the systems. So far, such analysis mostly focused on systems in…

Quantum Gases · Physics 2011-07-22 Takuya Kitagawa , Adilet Imambekov , Jörg Schmiedmayer , Eugene Demler

Non-Gaussian noise is omnipresent in systems where the central-limit theorem is inapplicable. We here investigate the stochastic thermodynamics of small systems that are described by a general Kramers-Moyal equation that includes both…

Statistical Mechanics · Physics 2025-02-28 Arthur M. Faria , Marcus V. S. Bonanca , Eric Lutz

The non-Markovian nature of quantum systems recently turned to be a key subject for investigations on open quantum system dynamics. Many studies, from its theoretical grounding to its usefulness as a resource for quantum information…

This article focuses on the general theory of open quantum systems in the Gaussian regime and explores a number of diverse ramifications and consequences of the theory. We shall first introduce the Gaussian framework in its full generality,…

Quantum Physics · Physics 2017-01-19 Marco G. Genoni , Ludovico Lami , Alessio Serafini

A large number of multifaceted quantum transport processes in molecular systems and physical nanosystems can be treated in terms of quantum relaxation processes which couple to one or several fluctuating environments. A thermal equilibrium…

Statistical Mechanics · Physics 2007-05-23 Igor Goychuk , Peter Hanggi

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 formalism for studying the behaviour of quantum systems coupled to nonequilibrium environments exhibiting nonGaussian fluctuations. We discuss the role of a qubit as a detector of the statistics of environmental fluctuations,…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Clive Emary

We generalize the oscillator model of a particle interacting with a thermal reservoir by introducing arbitrary nonlinear couplings in the particle coordinates.The equilibrium positions of the heat bath oscillators are promoted to space-time…

High Energy Physics - Theory · Physics 2009-10-28 F. Illuminati , M. Patriarca , P. Sodano

Quantum systems are unavoidably open to their surrounding degrees of freedom. The theory of open quantum systems is thus crucial to understanding the fluctuations, dissipation, and decoherence of a quantum system of interest. Typically, the…

Quantum Physics · Physics 2024-05-08 Ken Funo , Akihito Ishizaki

The variety of noise sources typical of the solid state represents the main limitation toward the realization of controllable and reliable quantum nanocircuits, as those allowing quantum computation. Such ``structured environments'' are…

Mesoscale and Nanoscale Physics · Physics 2008-01-29 E. Paladino , A. G. Maugeri , M. Sassetti , G. Falci , U. Weiss

The propagation of ultrafast pulses in dispersion-engineered waveguides, exhibiting strong field confinement in both space and time, is a promising avenue towards single-photon nonlinearities in an all-optical platform. However, quantum…

Quantum Physics · Physics 2023-07-12 Edwin Ng , Ryotatsu Yanagimoto , Marc Jankowski , M. M. Fejer , Hideo Mabuchi

We study the possibility of taking bosonic systems subject to quadratic Hamiltonians and a noisy thermal environment to non-classical stationary states by feedback loops based on weak measurements and conditioned linear driving. We derive…

Quantum Physics · Physics 2013-04-30 Marco G. Genoni , Stefano Mancini , Alessio Serafini

The nonlinear dynamics of dissipative quantum systems in incoherent laser fields is studied in the framework of master equation with random model describing the laser noise and Markovian approximation for dealing with the system-bath…

Optics · Physics 2007-05-23 O. El Akramine , A. Makhoute , M. Zitane , M. Tij

We investigate the non-Markovian dynamics of a qubit-oscillator system embedded in a noisy environment by employing the hierarchical equations of motion approach. It is found that the decoherence rate of the whole qubit-oscillator-bath…

Quantum Physics · Physics 2017-12-29 Wei Wu , Jun-Qing Cheng

Quantum sensors offer exceptional sensitivity to nanoscale magnetic fluctuations, where non-stationary effects -- such as spin diffusion -- and non-Markovian dynamics arising from coupling to few environmental degrees of freedom play…

We consider a microscopic model of an inhomogeneous environment where an arbitrary quantum system is locally coupled to a harmonic bath via a finite-range interaction. We show that in the overdamped regime the position distribution obeys a…

Statistical Mechanics · Physics 2025-02-28 Arthur M. Faria , Marcus V. S. Bonanca , Eric Lutz

The formalism of linear response theory can be extended to encompass physical situations where an open quantum system evolves towards a non-equilibrium steady-state. Here, we use the framework put forward by Konopik and Lutz [Phys. Rev.…

Quantum Physics · Physics 2024-02-14 Sherry Blair , Giorgio Zicari , Alessio Belenchia , Alessandro Ferraro , Mauro Paternostro
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