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In the quest for high-performance quantum thermal machines, looking for an optimal thermodynamic efficiency is only part of the issue. Indeed, at the level of quantum devices, fluctuations become extremely relevant and need to be taken into…

Quantum Physics · Physics 2024-09-13 Luca Razzoli , Fabio Cavaliere , Matteo Carrega , Maura Sassetti , Giuliano Benenti

We investigate the formulation of work distributions for quantum scalar fields in static curved spacetimes by extending the Ramsey interferometric protocol originally developed in previous works for flat spacetimes. The use of Unruh-DeWitt…

Quantum Physics · Physics 2026-01-22 Rafael L. S. Costa , Marcos L. W. Basso , Jonas Maziero , Lucas C. Céleri

The quantum Jarzynski equality and the Crooks relation are fundamental laws connecting equilibrium processes with nonequilibrium fluctuations. They are promising tools to benchmark quantum devices and measure free energy differences. While…

Statistical Mechanics · Physics 2023-11-07 Dominik Hahn , Maxime Dupont , Markus Schmitt , David J. Luitz , Marin Bukov

We address the problem of determining whether or not a harmonic oscillator has been perturbed by an external force. Quantum detection and estimation theory has been used in devising optimum measurement schemes. Detection probability has…

Quantum Physics · Physics 2015-06-26 Matteo G. A. Paris

The efficiency of small thermal machines is typically a fluctuating quantity. We here study the efficiency large deviation function of two exemplary quantum heat engines, the harmonic oscillator and the two-level Otto cycles. While the…

Quantum Physics · Physics 2021-08-11 Tobias Denzler , Eric Lutz

The density operator for a quantum system in thermal equilibrium with its environment depends on Planck's constant, as well as the temperature. At high temperatures, the Weyl representation, that is, the thermal Wigner function, becomes…

Quantum Physics · Physics 2021-06-30 Alfredo M. Ozorio de Almeida , Gert-Ludwig Ingold , Olivier Brodier

A complete understanding of the statistics of the work done by quenching a parameter of a quantum many-body system is still lacking in the presence of an initial quantum coherence in the energy basis. In this case, the work can be…

Quantum Physics · Physics 2023-07-07 Gianluca Francica , Luca Dell'Anna

We study the work fluctuations of two types of finite quantum spin chains under the application of a time-dependent magnetic field in the context of the fluctuation relation and Jarzynski equality. The two types of quantum chains correspond…

Statistical Mechanics · Physics 2008-05-30 Sven Dorosz , Thierry Platini , Dragi Karevski

The isotropic 3-dimensional harmonic oscillator potential can serve as an approximate description of many systems in atomic, solid state, nuclear, and particle physics. In particular, the question of 2 particles binding (or coalescing) into…

Quantum Physics · Physics 2022-07-20 Michael Kordell , Rainer J. Fries , Che Ming Ko

It is shown that a small system in thermodynamic equilibrium with a finite thermostat can have a q-exponential probability distribution which closely depends on the energy nonextensivity and the particle number of the thermostat. The…

Statistical Mechanics · Physics 2008-11-13 Congjie Ou , Wei Li , Jiulin Du , Francois Tsobnang , Jincan Chen , Alain Le Mehaute , Qiuping A. Wang

Estimating partition functions of Ising spin glasses is a cornerstone of statistical physics and computational science, yet it remains classically challenging due to its $\#$P-hard complexity. While Jarzynski's equality offers a theoretical…

Quantum Physics · Physics 2026-03-18 Haowei Li , Zhiyuan Yao , Xingze Qiu

A framework for the investigation of disordered quantum systems in thermal equilibrium is proposed. The approach is based on a dynamical model--which consists of a combination of a double-bracket gradient flow and a uniform Brownian…

Quantum Physics · Physics 2013-09-13 Dorje C. Brody , David C. P. Ellis , Darryl D. Holm

We study numerically time evolution in classical lattices with weak or moderate nonlinearity which leads to interactions between linear modes. Our results show that in a certain strength range a moderate nonlinearity generates a dynamical…

Chaotic Dynamics · Physics 2013-12-09 Leonardo Ermann , Dima L. Shepelyansky

We study the effect of disorder on work exchange associated to quantum Hamiltonian processes by considering an Ising spin chain in which the strength of coupling between spins are randomly drawn from either Normal or Gamma distributions.…

Statistical Mechanics · Physics 2018-12-05 Yuanjian Zheng , Dario Poletti

The quantum speed limit specifies a universal bound of the fidelity between the initial state and the time-evolved state. We apply this method to find a bound of the fidelity between the adiabatic state and the time-evolved state. The bound…

Quantum Physics · Physics 2020-07-22 Keisuke Suzuki , Kazutaka Takahashi

We use the theory of quantum estimation in two different qubit-boson coupling models to demonstrate that the temperature of a quantum harmonic oscillator can be estimated with high precision by quantum-limited measurements on the qubit. The…

Quantum Physics · Physics 2012-10-31 Matteo Brunelli , Stefano Olivares , Mauro Paternostro , Matteo G. A. Paris

We apply a variant of the Nose-Hoover thermostat to derive the Hamiltonian of a nonextensive system that is compatible with the canonical ensemble of the generalized thermostatistics of Tsallis. This microdynamical approach provides a…

Statistical Mechanics · Physics 2009-11-07 J. S. Andrade , M. P. Almeida , A. A. Moreira , G. A. Farias

We discuss the thermodynamics of closed quantum systems driven out of equilibrium by a change in a control parameter and undergoing a unitary process. We compare the work actually done on the system with the one that would be performed…

Quantum Physics · Physics 2015-01-20 F. Plastina , A. Alecce , T. J. G. Apollaro , G. Falcone , G. Francica , F. Galve , N. Lo Gullo , R. Zambrini

Understanding the fundamental constraint on work far beyond the adiabatic regime is crucial to investigating fast and efficient energy extraction or consumption processes. In this study, we derive thermodynamic speed limits for…

Quantum Physics · Physics 2025-05-16 Aoi Yamauchi , Rihito Nagase , Kaixin Li , Takahiro Sagawa , Ken Funo

Thermodynamic quantities, like heat, entropy, or work, are random variables, in stochastic systems. Here, we investigate the statistics of the heat exchanged by a Brownian particle subjected to a logarithm-harmonic potential. We derive…

Statistical Mechanics · Physics 2021-12-08 Pedro V. Paraguassú , Welles A. M Morgado
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