We present a procedure to accelerate the relaxation of an open quantum system towards its equilibrium state. The control protocol, termed the shortcut to equilibration, is obtained by reverse-engineering the nonadiabatic master equation. This is a nonunitary control task aimed at rapidly changing the entropy of the system. Such a protocol serves as a shortcut to an abrupt change in the Hamiltonian, i.e., a quench. As an example, we study the thermalization of a particle in a harmonic well. We observe that for short protocols the accuracy improves by 3 orders of magnitude.
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http://dx.doi.org/10.1103/PhysRevLett.122.250402 | DOI Listing |
Phys Rev Lett
March 2024
Departamento de Matemáticas, Universidad Carlos III de Madrid, 28911 Leganés, Spain.
Many systems, when initially placed far from equilibrium, exhibit surprising behavior in their attempt to equilibrate. Striking examples are the Mpemba effect and the cooling-heating asymmetry. These anomalous behaviors can be exploited to shorten the time needed to cool down (or heat up) a system.
View Article and Find Full Text PDFPhys Rev E
January 2024
Physics Department, Universidad de los Andes, 111711 Bogotá, Colombia.
When a system deviates from equilibrium, it is possible to manipulate and control it to drive it towards equilibrium within finite time t_{f}, even by reducing its natural relaxation timescale τ_{relax}. Although numerous theoretical and experimental studies have explored these shortcut protocols, few have yielded analytical results for the probability distribution of the work, heat, and produced entropy. In this study, we propose a two-step protocol that captures the essential characteristics of more general protocols and provides an analytical solution for the relevant thermodynamic probability distributions.
View Article and Find Full Text PDFPhys Rev Lett
June 2019
The Institute of Chemistry, The Hebrew University of Jerusalem, Jerusalem 9190401, Israel.
We present a procedure to accelerate the relaxation of an open quantum system towards its equilibrium state. The control protocol, termed the shortcut to equilibration, is obtained by reverse-engineering the nonadiabatic master equation. This is a nonunitary control task aimed at rapidly changing the entropy of the system.
View Article and Find Full Text PDFPhys Rev E
July 2018
CNRS, Laboratoire de Physique de l'École Normale Supérieure, Université de Lyon, UMR 5672, 46 Allée d'Italie, 69364 Lyon, France.
We provide a theoretical and experimental protocol that dynamically controls the effective temperature of a thermal bath, through a well-designed noise engineering. We use this powerful technique to shortcut the relaxation of an overdamped Brownian particle in a quadratic potential by a joint time engineering of the confinement strength and of the noise. For an optically trapped colloid, we report an equilibrium recovery time reduced by about two orders of magnitude compared to the natural relaxation time.
View Article and Find Full Text PDFNat Phys
September 2016
Laboratoire de Physique, CNRS UMR5672, Université de Lyon, École Normale Supérieure, 46 Allée d'Italie, 69364 Lyon, France.
A fundamental and intrinsic property of any device or natural system is its relaxation time relax, which is the time it takes to return to equilibrium after the sudden change of a control parameter [1]. Reducing , is frequently necessary, and is often obtained by a complex feedback process. To overcome the limitations of such an approach, alternative methods based on driving have been recently demonstrated [2, 3], for isolated quantum and classical systems [4-9].
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