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Quantum thermodynamics at impurity quantum phase transitions

Journal article
Authors A. Bayat
G. De Chiara
T. J. G. Apollaro
S. Paganelli
Henrik Johannesson
P. Sodano
S. Bose
Published in Springer Proceedings in Physics
Volume 239
Pages 361-373
ISSN 09308989 (ISSN)
Publication year 2020
Published at Department of Physics (GU)
Pages 361-373
Language en
Keywords Criticality (nuclear fission), Quantum optics, Statistical mechanics, Thermodynamics, Density matrix renormalization group, Finite size scaling, Many-body problems, Non equilibrium thermodynamics, Out of equilibrium, Quantum criticality, Quantum phase transitions, Quantum thermodynamics, Phase transitions
Subject categories Physical Sciences


The study of quantum thermodynamics, i.e. equilibrium and non-equilibrium thermodynamics of quantum systems, has been applied to various many-body problems, including quantum phase transitions. An important question is whether out-of-equilibrium quantities from this emerging field, such as fluctuations of work, exhibit scaling after a sudden quench. In particular, it is very interesting to explore this problem in impurity models where the lack of an obvious symmetry breaking at criticality makes it very challenging to characterize. Here, by considering a spin emulation of the two impurity Kondo model and performing density matrix renormalization group computations, we establish that the irreversible work produced in a quench exhibits finite-size scaling at quantum criticality. Our approach predicts the equilibrium critical exponents for the crossover length and the order parameter of the model, and, moreover, implies a new exponent for the rescaled irreversible work. © Springer Nature Switzerland AG 2020.

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