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Open quantum systems interact with their environment, leading to nonunitary dynamics. We investigate the thermodynamics of linear Open Quantum Walks (OQWs), a class of quantum walks whose dynamics is entirely driven by the environment. We…

Quantum Physics · Physics 2026-01-30 Pedro Linck Maciel , Nadja Kolb Bernardes

In this paper, we review recent developments in the emerging field of electron quantum optics, stressing analogies and differences with the usual case of photon quantum optics. Electron quantum optics aims at preparing, manipulating and…

Mesoscale and Nanoscale Physics · Physics 2011-06-27 Charles Grenier , Rémy Hervé , Gwendal Fève , Pascal Degiovanni

We review a possible framework for (non)linear quantum theories, into which linear quantum mechanics fits as well, and discuss the notion of ``equivalence'' in this setting. Finally, we draw the attention to persisting severe problems of…

Quantum Physics · Physics 2007-05-23 Peter Nattermann

Critical phenomena in non-equilibrium systems have been studied by means of a wide variety of theoretical and experimental approaches. Mode-coupling, renormalization group, complex Lie algebras and diagrammatic techniques are some of the…

Statistical Mechanics · Physics 2015-05-13 Enrique Hernandez-Lemus , Leopoldo S. Garcia-Colin

These are the lecture notes for a course that I am teaching at Zhiyuan College of Shanghai Jiao Tong University (available at https://www.youtube.com/derekkorg), though the first draft was created for a previous course I taught at the…

Quantum Physics · Physics 2022-03-25 Carlos Navarrete-Benlloch

Fluctuation theorems are a generalization of thermodynamics on small scales and provide the tools to characterize the fluctuations of thermodynamic quantities in non-equilibrium nanoscale systems. They are particularly important for…

Statistical Mechanics · Physics 2014-04-03 Jan Gieseler , Romain Quidant , Christoph Dellago , Lukas Novotny

Scalable quantum computation with linear optics was considered to be impossible due to the lack of efficient two-qubit logic gates, despite its ease of implementation of one-qubit gates. Two-qubit gates necessarily need a nonlinear…

Quantum Physics · Physics 2007-05-23 Jonathan P. Dowling , James D. Franson , Hwang Lee , Gerald J. Milburn

Thermodynamic uncertainty relations (TURs) are a set of inequalities expressing a fundamental trade-off between precision and dissipation in non-equilibrium classical and quantum thermodynamic processes. TURs show that achieving low…

Quantum Physics · Physics 2025-03-07 Mario Motta , Antonio Mezzacapo , Giacomo Guarnieri

The concept of supersymmetry developed in particle physics has been applied to various fields of modern physics. In quantum mechanics, the supersymmetric systems refer to the systems involving two supersymmetric partner Hamiltonians, whose…

A fluctuation theorem for the nonequilibrium entropy production in quantum phase space is derived, which enables the consistent thermodynamic description of arbitrary quantum systems, open and closed. The new treatment naturally generalizes…

Statistical Mechanics · Physics 2013-08-13 Sebastian Deffner

Characterization and control of matter by optical means is at the forefront of research both due to fundamental insights and technological promise. Theoretical modeling of periodically driven systems is a prerequisite to understanding and…

Mesoscale and Nanoscale Physics · Physics 2020-03-06 Gabriel Cabra , Ignacio Franco , Michael Galperin

We investigate thermodynamic properties of quantum electrodynamics in 1+1 dimensions (QED$_{1+1}$) utilizing light front dynamics. Therefore we derive the partition function of the canonical ensemble in discrete light cone quantization, and…

High Energy Physics - Theory · Physics 2008-11-26 S. Strauss , M. Beyer

Digital quantum simulation uses the capabilities of quantum computers to determine the dynamics of quantum systems, which are beyond the computability of modern classical computers. A notoriously challenging task in this field is the…

Quantum Physics · Physics 2021-04-19 Benedikt Fauseweh , Jian-Xin Zhu

This article reviews recent hybrid approaches to optical quantum information processing, in which both discrete and continuous degrees of freedom are exploited. There are well-known limitations to optical single-photon-based qubit and…

Quantum Physics · Physics 2010-02-26 Peter van Loock

We propose a list of conditions that consistency with thermodynamics imposes on linear and nonlinear generalizations of standard unitary quantum mechanics that assume a set of true quantum states without the restriction $\rho^2=\rho$ even…

Quantum Physics · Physics 2009-11-10 Gian Paolo Beretta

Mechanical resonators are gradually becoming available as new quantum systems. Quantum optics in combination with optomechanical interactions (quantum optomechanics) provides a particularly helpful toolbox for generating and controlling…

Quantum Physics · Physics 2010-06-02 Markus Aspelmeyer , Simon Groeblacher , Klemens Hammerer , Nikolai Kiesel

Quantum optics and ultracold gases are established fields, but they almost do not overlap: the quantum nature of light is typically neglected in works on ultracold atoms. In our work the quantumness of both light and ultracold matter plays…

Quantum Physics · Physics 2022-04-12 Igor B. Mekhov

This Colloquium is a fast journey through the build-up of key thermodynamical concepts, i.e. work, heat and irreversibility -- and how they relate to information. Born at the time of industrial revolution to optimize the exploitation of…

Quantum Physics · Physics 2021-03-24 Alexia Auffèves

One of the core questions of quantum physics is how to reconcile the unitary evolution of quantum states, which is information-preserving and time-reversible, with evolution following the second law of thermodynamics, which, in general, is…

Non-equilibrium fluctuation theorems (NFTs) relate work performed on a system as its Hamiltonian varies with time, to equilibrium data of the initial and final states. In a classical context the system energy can be directly measured, while…

Statistical Mechanics · Physics 2024-09-30 Cheolhee Han , Doron Cohen , Eran Sela