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In this paper we give a pedagogical introduction to the ideas of quantum thermodynamics and work fluctuations, using only basic concepts from quantum and statistical mechanics. After reviewing the concept of work, as usually taught in…

Quantum Physics · Physics 2018-05-03 Wellington L. Ribeiro , Gabriel T. Landi , Fernando Semião

We consider quantum batteries given by composite interacting quantum systems in terms of the thermodynamic work cost of local random unitary processes. We characterize quantum correlations by monitoring the average energy change and its…

Quantum Physics · Physics 2026-03-30 Satoya Imai , Otfried Gühne , Stefan Nimmrichter

In quadratic fermionic models we determine a quantum correction to the work statistics after a sudden and a time-dependent driving. Such a correction lies in the non-commutativity of the initial quantum state and the time-dependent…

Quantum Physics · Physics 2023-09-12 Alessandro Santini , Andrea Solfanelli , Stefano Gherardini , Mario Collura

In this contribution we describe some interesting interplay between quantum theory, general relativity and thermodynamics. In order to highlight the connection between these theories, we describe two approaches that allow to calculate…

General Relativity and Quantum Cosmology · Physics 2013-10-28 Giovanni Acquaviva

We present fluctuation theorems and moment generating function equalities for generalized thermodynamic observables and quantum dynamics described by completely positive trace preserving (CPTP) maps, with and without feedback control. Our…

Quantum Physics · Physics 2013-10-01 Tameem Albash , Daniel A. Lidar , Milad Marvian , Paolo Zanardi

Previously derived expressions for the characteristic function of work performed on a quantum system by a classical external force are generalized to arbitrary initial states of the considered system and to Hamiltonians with degenerate…

Statistical Mechanics · Physics 2008-07-11 Peter Talkner , Peter Hanggi , Manuel Morillo

Measurement-device-independent quantum key distribution with a finite number of decoy states is analyzed under finite-data-size assumption. By accounting for statistical fluctuations in parameter estimation, we investigate vacuum+weak- and…

Quantum Physics · Physics 2012-11-14 Xiongfeng Ma , Chi-Hang Fred Fung , Mohsen Razavi

A new theoretical framework to describe the experimental advances in electro-optic detection of broadband quantum states, specifically the quantum vacuum, is devised. By making use of fundamental concepts from quantum field theory on…

We consider a quantum system driven out of equilibrium via a small Hamiltonian perturbation. Building on the paradigmatic framework of linear response theory (LRT), we derive an expression for the full generating function of the dissipated…

Quantum Physics · Physics 2024-08-28 Giacomo Guarnieri , Jens Eisert , Harry J. D. Miller

Particle detector models such as the Unruh-deWitt detector are widely used in relativistic quantum information and field theory to probe the global features of spacetime and quantum fields. These detectors are typically modelled as coupling…

Quantum Physics · Physics 2021-11-17 Joshua Foo , Sho Onoe , Robert B. Mann , Magdalena Zych

Thermodynamics constrains changes to the energy of a system, both deliberate and random, via its first and second laws. When the system is not in equilibrium, fluctuation theorems such as the Jarzynski equality further restrict the…

The interplay between thermodynamics, general relativity and quantum mechanics has long intrigued researchers. Recently, important advances have been obtained in thermodynamics, mainly regarding its application to the quantum domain through…

General Relativity and Quantum Cosmology · Physics 2025-02-07 Marcos L. W. Basso , Jonas Maziero , Lucas Chibebe Céleri

We develop a localized particle detector model formulated as a massive quantum field on Minkowski spacetime with the spatial origin excised. To render the problem well-posed at the puncture, we impose boundary conditions at the excised…

High Energy Physics - Theory · Physics 2026-02-12 Victor Hugo M. Ramos , João Paulo M. Pitelli , João C. A. Barata

The study of thermodynamic fluctuations allows one to relate the free energy difference between two equilibrium states with the work done on a system through processes far from equilibrium. This finding plays a crucial role in the quantum…

The Unruh effect refers to the thermal fluctuations a detector experiences while undergoing linear motion with uniform acceleration in a Minkowski vacuum. This thermality can be demonstrated by tracing the vacuum state of the field over the…

General Relativity and Quantum Cosmology · Physics 2013-12-10 Jason Doukas , Shih-Yuin Lin , B. L. Hu , Robert B. Mann

The classical Jarzynski equality establishes an exact relation between the stochastic work performed on a system driven out of thermal equilibrium and the free energy difference in a corresponding quasi-static process. This fluctuation…

Quantum Physics · Physics 2025-08-21 Konstantin Beyer , Walter T. Strunz

The quantum Jarzynski equality is an important theorem of modern quantum thermodynamics. We show that the Jarzynski equality readily generalizes to relativistic quantum mechanics described by the Dirac equation. After establishing the…

Statistical Mechanics · Physics 2015-09-30 Sebastian Deffner , Avadh Saxena

We analyze the statistical mechanical properties of n-detectors in arbitrary states of motion interacting with each other via a quantum field. We use the open system concept and the influence functional method to calculate the influence of…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Alpan Raval , B. L. Hu , James Anglin

In the context of nonequilibrium quantum thermodynamics, variables like work behave stochastically. A particular definition of the work probability density function (pdf) for coherent quantum processes allows the verification of the quantum…

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