ID: 1905.07328

Work fluctuations in slow processes: quantum signatures and optimal control

May 17, 2019

View on ArXiv

Similar papers 2

Stochastic thermodynamics in the quantum regime

July 1, 2015

87% Match
Cyril Elouard, Alexia Auffèves, Maxime Clusel
Statistical Mechanics

This article sets up a formalism to describe stochastic thermodynamics for driven out-of-equilibrium open quantum systems. A stochastic Schr\"odinger equation allows to construct quantum trajectories describing the dynamics of the system state vector in presence of an eventually monitored environment. Thermodynamic quantities are defined at the single quantum trajectory level, independently of any energy measurement, at any time of the protocol. We thereby identify coherent c...

Find SimilarView on arXiv

Nonequilibrium thermodynamics of quantum coherence beyond linear response

January 31, 2023

87% Match
Franklin L. S. Rodrigues, Eric Lutz
Quantum Physics

Quantum thermodynamics allows for the interconversion of quantum coherence and mechanical work. Quantum coherence is thus a potential physical resource for quantum machines. However, formulating a general nonequilibrium thermodynamics of quantum coherence has turned out to be challenging. In particular, precise conditions under which coherence is beneficial to or, on the contrary, detrimental for work extraction from a system have remained elusive. We here develop a generic d...

Find SimilarView on arXiv

Geometric optimisation of quantum thermodynamic processes

August 31, 2020

87% Match
Paolo Abiuso, Harry J. D. Miller, ... , Scandi Matteo
Statistical Mechanics

Differential geometry offers a powerful framework for optimising and characterising finite-time thermodynamic processes, both classical and quantum. Here, we start by a pedagogical introduction to the notion of thermodynamic length. We review and connect different frameworks where it emerges in the quantum regime: adiabatically driven closed systems, time-dependent Lindblad master equations, and discrete processes. A geometric lower bound on entropy production in finitetime i...

Find SimilarView on arXiv

Fluctuation-dissipation relations for thermodynamic distillation processes

May 25, 2021

87% Match
Tanmoy Biswas, A. de Oliveira Junior, ... , Korzekwa Kamil
Statistical Mechanics

The fluctuation-dissipation theorem is a fundamental result in statistical physics that establishes a connection between the response of a system subject to a perturbation and the fluctuations associated with observables in equilibrium. Here we derive its version within a resource-theoretic framework, where one investigates optimal quantum state transitions under thermodynamic constraints. More precisely, we first characterise optimal thermodynamic distillation processes, and...

Find SimilarView on arXiv

Colloquium. Quantum Fluctuation Relations: Foundations and Applications

December 10, 2010

87% Match
Michele Campisi, Peter Hänggi, Peter Talkner
Statistical Mechanics

Two fundamental ingredients play a decisive role in the foundation of fluctuation relations: the principle of microreversibility and the fact that thermal equilibrium is described by the Gibbs canonical ensemble. Building on these two pillars we guide the reader through a self-contained exposition of the theory and applications of quantum fluctuation relations. These are exact results that constitute the fulcrum of the recent development of nonequilibrium thermodynamics beyon...

Find SimilarView on arXiv

Optimal control of many-body non-equilibrium quantum thermodynamics

May 24, 2016

87% Match
Niklas Rach, Simone Montangero, Mauro Paternostro
Mesoscale and Nanoscale Phys...
Statistical Mechanics

We demonstrate the effectiveness of quantum optimal control techniques in harnessing irreversibility generated by non-equilibrium processes, implemented in unitarily evolving quantum many-body systems. We address the dynamics of a finite-size quantum Ising model subjected to finite-time transformations, which unavoidably generate irreversibility. We show that work can be generated through such transformation by means of optimal controlled quenches, while quenching the degree ...

Find SimilarView on arXiv

Quantum driving and work

January 17, 2014

87% Match
J. Salmilehto, P. Solinas, M. Möttönen
Quantum Physics

As quantum systems become more experimentally accessible, we are forced to reconsider the notions of control and work to fully account for quantum effects. To this end, we identify the work injected into a quantum system during a general quantum-mechanical driving protocol and quantify the relevant heat flows. The known results that are applicable in the limit of a classical drive are shown to emerge from our equations as a special case. Using the established framework, we sh...

Find SimilarView on arXiv

Quantum work statistics close to equilibrium

November 11, 2019

87% Match
Matteo Scandi, Harry J. D. Miller, ... , Perarnau-Llobet Marti
Statistical Mechanics

We study the statistics of work, dissipation, and entropy production of a quantum quasi-isothermal process, where the system remains close to the thermal equilibrium along the transformation. We derive a general analytic expression for the work distribution and the cumulant generating function. All work cumulants split into a classical (non-coherent) and quantum (coherent) term, implying that close to equilibrium there are two independent channels of dissipation at all levels...

Find SimilarView on arXiv

Optimal control of open quantum systems: cooperative effects of driving and dissipation

October 5, 2010

87% Match
Rebecca Schmidt, Antonio Negretti, Joachim Ankerhold, ... , Stockburger Jürgen T.
Statistical Mechanics
Computational Physics

We investigate the optimal control of open quantum systems, in particular, the mutual influence of driving and dissipation. A stochastic approach to open-system control is developed, using a generalized version of Krotov's iterative algorithm, with no need for Markovian or rotating-wave approximations. The application to a harmonic degree of freedom reveals cooperative effects of driving and dissipation that a standard Markovian treatment cannot capture. Remarkably, control c...

Find SimilarView on arXiv

Energetic footprints of irreversibility in the quantum regime

July 15, 2019

87% Match
M. H. Mohammady, A. Aufféves, J. Anders
Statistical Mechanics

In classical thermodynamic processes the unavoidable presence of irreversibility, quantified by the entropy production, carries two energetic footprints: the reduction of extractable work from the optimal, reversible case, and the generation of a surplus of heat that is irreversibly dissipated to the environment. Recently it has been shown that in the quantum regime an additional quantum irreversibility occurs that is linked to decoherence into the energy basis. Here we emplo...

Find SimilarView on arXiv