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Universality and scaling laws are hallmarks of equilibrium phase transitions and critical phenomena. However, extending these concepts to non-equilibrium systems is an outstanding challenge. Despite recent progress in the study of dynamical…

The irreversible work during a driving protocol constitutes one of the most widely studied measures in non-equilibrium thermodynamics, as it constitutes a proxy for entropy production. In quantum systems, it has been shown that the…

We consider two quantum Ising chains initially prepared at thermal equilibrium but with different temperatures and coupled at a given time through one of their end points. In the long-time limit the system reaches a non-equilibrium steady…

Strongly Correlated Electrons · Physics 2013-10-29 Andrea De Luca , Jacopo Viti , Denis Bernard , Benjamin Doyon

In this review, we study some aspects of the non-equilibrium dynamics of quantum systems. In particular, we consider the effect of varying a parameter in the Hamiltonian of a quantum system which takes it across a quantum critical point or…

Statistical Mechanics · Physics 2015-05-14 Shreyoshi Mondal , Diptiman Sen , K. Sengupta

We study the universality of work statistics performed during a quench in gapless quantum systems. We show that the cumulants of work scale separately in the fast and slow quench regimes, following a power law analogous to the universal…

Quantum Physics · Physics 2025-11-21 Donny Dwiputra , Mir Faizal , Francesco Marino , Freddy P. Zen

We investigate quantum quenches starting from a critical point and experimentally probe the associated defect statistics using a trapped-ion quantum simulator of the transverse-field Ising model. The cumulants of the defect number…

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

We investigate the statistics of the work performed during a quench across a quantum phase transition using the adiabatic perturbation theory. It is shown that all the cumulants of work exhibit universal scaling behavior analogous to the…

Quantum Physics · Physics 2020-05-06 Zhaoyu Fei , Nahuel Freitas , Vasco Cavina , H. T. Quan , Massimiliano Esposito

A string of trapped ions at zero temperature exhibits a structural phase transition to a zigzag structure, tuned by reducing the transverse trap potential or the interparticle distance. The transition is driven by transverse, short…

Statistical Mechanics · Physics 2011-01-06 Efrat Shimshoni , Giovanna Morigi , Shmuel Fishman

Coulomb blockade phenomena and quantum fluctuations are studied in mesoscopic metallic tunnel junctions with high charging energies. If the resistance of the barriers is large compared to the quantum resistance, transport can be described…

Condensed Matter · Physics 2009-10-22 Herbert Schoeller , Gerd Schoen

We study the non-equilibrium dynamics of two dimensional planar ion Coulomb crystals undergoing a structural buckling transition to a three plane configuration, driven by a reduction of the transverse confining frequency. This phase…

Statistical Mechanics · Physics 2022-10-05 Michael Arnold , Ramil Nigmatullin

The formation of an equilibrium quantum state from an uncorrelated thermal one through the dynamical crossing of a phase transition is a central question of non-equilibrium many-body physics. During such crossing, the system breaks its…

Quantum Gases · Physics 2018-06-18 I. -K. Liu , S. Donadello , G. Lamporesi , G. Ferrari , S. -C. Gou , F. Dalfovo , N. P. Proukakis

We consider the dynamics of an isolated quantum many-body system after a sudden change of one control parameter, focusing on the statistics of the work done. We establish a connection between the generating function of the distribution of…

Statistical Mechanics · Physics 2011-06-15 Andrea Gambassi , Alessandro Silva

Out of equilibrium quantum systems, on top of quantum fluctuations, display complex temporal patterns. Such time fluctuations are generically exponentially small in the system volume and can be therefore safely ignored in most of the cases.…

Quantum Physics · Physics 2014-02-12 Lorenzo Campos Venuti , Paolo Zanardi

A quasi one--dimensional system of trapped, repulsively interacting atoms (e.g., an ion chain) exhibits a structural phase transition from a linear chain to a zigzag structure, tuned by reducing the transverse trap potential or increasing…

Statistical Mechanics · Physics 2011-04-11 Efrat Shimshoni , Giovanna Morigi , Shmuel Fishman

We demonstrate the effectiveness of quantum optimal control techniques in harnessing irreversibility generated by non-equilibrium processes, implemented in unitarily evolving quantum many-body systems. We address the dynamics of a…

Quantum Physics · Physics 2016-05-25 Niklas Rach , Simone Montangero , Mauro Paternostro

Quantum thermodynamics allows for the interconversion of quantum coherence and mechanical work. Quantum coherence is thus a potential physical resource for quantum machines. However, formulating a general nonequilibrium thermodynamics of…

Quantum Physics · Physics 2025-11-05 Franklin L. S. Rodrigues , Eric Lutz

We propose a method to study dynamical response of a quantum system by evolving it with an imaginary-time dependent Hamiltonian. The leading non-adiabatic response of the system driven to a quantum-critical point is universal and…

Other Condensed Matter · Physics 2015-05-28 C. De Grandi , A. Polkovnikov , A. W. Sandvik

We address the out-of-equilibrium thermodynamics of an isolated quantum system consisting of a cavity optomechanical device. We explore the dynamical response of the system when driven out of equilibrium by a sudden quench of the coupling…

Quantum Physics · Physics 2015-06-10 M. Brunelli , A. Xuereb , A. Ferraro , G. De Chiara , N. Kiesel , M. Paternostro

We study nonequilibrium dynamics of the quantum Ising chain at zero temperature when the transverse field is varied stochastically. In the equivalent fermion representation, the equation of motion of Majorana operators is derived in the…

Statistical Mechanics · Physics 2016-04-07 G. Roósz , R. Juhász , F. Iglói