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We apply the concept of a frequency-dependent effective temperature based on the fluctuation-dissipation ratio to a driven Brownian particle in a nonequilibrium steady state. Using this system as a thermostat for a weakly coupled harmonic…

Statistical Mechanics · Physics 2017-06-07 Robert Wulfert , Michael Oechsle , Thomas Speck , Udo Seifert

Quantum fluctuation relations provide a microscopic formulation of thermodynamics beyond equilibrium, but experimentally accessing many-body quantum work statistics remains an outstanding challenge. The quantum piston constitutes a…

In this work we present a formalism to describe non equilibrium conditions in systems with a discretized energy spectrum, such as quantum systems. We develop a formalism based on a combination of Gibbs-Shannon entropy and information…

Statistical Mechanics · Physics 2013-07-23 Alessio Gagliardi , Alessandro Pecchia , Aldo Di Carlo

Research on the out-of-equilibrium dynamics of quantum systems has so far produced important statements on the thermodynamics of small systems undergoing quantum mechanical evolutions. Key examples are provided by the Crooks and Jarzynski…

Exploiting the relative entropy of coherence, we isolate the coherent contribution in the energetics of a driven non-equilibrium quantum system. We prove that a division of the irreversible work can be made into a coherent and incoherent…

Quantum Physics · Physics 2019-04-10 G. Francica , J. Goold , F. Plastina

A quantum thermodynamic system can conserve non-commuting observables, but the consequences of this phenomenon on relaxation are still not fully understood. We investigate this problem by leveraging an observable-dependent approach to…

Analytical work probability distributions for open classical systems are scarce; they can only be calculated in a few examples. In this work, I present a new method to derive such quantities for weakly driven processes in the overdamped…

Statistical Mechanics · Physics 2025-04-09 Pierre Nazé

Inertial effects in fluctuations of the work to sustain a system in a nonequilibrium steady state are discussed for a dragged massive Brownian particle model using a path integral approach. We calculate the work distribution function in the…

Statistical Mechanics · Physics 2007-12-12 Tooru Taniguchi , E. G. D. Cohen

Nonequilibrium work-Hamiltonian connection for a microstate plays a central role in diverse branches of statistical thermodynamics (fluctuation theorems, quantum thermodynamics, stochastic thermodynamics, etc.). We show that the change in…

Statistical Mechanics · Physics 2017-02-03 P. D. Gujrati

We consider bosons in a harmonic trap and investigate the fluctuations of the work performed by an adiabatic change of the trap curvature. Depending on the reservoir conditions such as temperature and chemical potential that provide the…

Statistical Mechanics · Physics 2015-06-04 Juyeon Yi , Yong Woon Kim , Peter Talkner

Characterizing the work statistics of driven complex quantum systems is generally challenging because of the exponential growth with the system size of the number of transitions involved between different energy levels. We consider the…

Quantum Physics · Physics 2019-03-07 Aurélia Chenu , Javier Molina-Vilaplana , Adolfo del Campo

We investigate the performance of a quantum Otto refrigerator operating in finite time and exploiting local counterdiabatic techniques. We evaluate its coefficient of performance and cooling power when the working medium consists a quantum…

Quantum Physics · Physics 2020-05-13 Obinna Abah , Mauro Paternostro , Eric Lutz

Since the first suggestion of the Jarzynski equality many derivations of this equality have been presented in both, the classical and the quantum context. While the approaches and settings greatly differ from one to another, they all appear…

Quantum Physics · Physics 2016-07-20 F. Jin , R. Steinigeweg , H. De Raedt , K. Michielsen , M. Campisi , J. Gemmer

We propose a method to obtain the equilibrium distribution for positions and velocities of a one-dimensional particle via time-averaging and Laplace transformations. We apply it to the case of a damped harmonic oscillator in contact with a…

Statistical Mechanics · Physics 2009-11-11 D. O. Soares-Pinto , W. A. M. Morgado

We consider the problem of computing energy distribution of inner harmonic oscillations of a nanoparticle in its phase space, when the particle moves in a medium in heat equilibrium under certain temperature. It is assumed that the particle…

Mathematical Physics · Physics 2016-10-04 E. M. Beniaminov

The unavoidable irreversible losses of power in a heat engine are found to be of quantum origin. Following thermodynamic tradition a model quantum heat engine operating by the Otto cycle is analyzed. The working medium of the model is…

Quantum Physics · Physics 2009-11-13 Yair Rezek , Ronnie Kosloff

We consider quantum statistics of charge transmitted through a mesoscopic device in the adiabatic pumping process. A general formula for the distribution function of the transmitted charge in terms of the time-dependent S-matrix is…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Anton Andreev , Alex Kamenev

We propose an arbitrary driven spin as the working fluid of a quantum Otto cycle in the presence of internal friction. The role of total allocated time to the adiabatic branches of the cycle, generated by different control field profiles,…

Quantum Physics · Physics 2017-05-17 Selcuk Cakmak , Ferdi Altintas , Ozgur E. Mustecaplioglu

Using the quasi-equilibrium Helmholtz energy (qHE), defined as the thermodynamic work in a quasi-static process, we investigate the thermal properties of both an isothermal process and a transition process between the adiabatic and…

Statistical Mechanics · Physics 2022-07-06 Shoki Koyanagi , Yoshitaka Tanimura

Diffusive motion in an externally driven potential is considered. It is shown that the distribution of work required to drive the system from an initial equilibrium state to another is Gaussian for slow but finite driving. Our result is…

Statistical Mechanics · Physics 2007-05-23 Thomas Speck , Udo Seifert