Experimental Determination of Dynamical Lee-Yang Zeros

Physical Review Letters
Kay BrandnerChristian Flindt

Abstract

Statistical physics provides the concepts and methods to explain the phase behavior of interacting many-body systems. Investigations of Lee-Yang zeros-complex singularities of the free energy in systems of finite size-have led to a unified understanding of equilibrium phase transitions. The ideas of Lee and Yang, however, are not restricted to equilibrium phenomena. Recently, Lee-Yang zeros have been used to characterize nonequilibrium processes such as dynamical phase transitions in quantum systems after a quench or dynamic order-disorder transitions in glasses. Here, we experimentally realize a scheme for determining Lee-Yang zeros in such nonequilibrium settings. We extract the dynamical Lee-Yang zeros of a stochastic process involving Andreev tunneling between a normal-state island and two superconducting leads from measurements of the dynamical activity along a trajectory. From the short-time behavior of the Lee-Yang zeros, we predict the large-deviation statistics of the activity which is typically difficult to measure. Our method paves the way for further experiments on the statistical mechanics of many-body systems out of equilibrium.

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Citations

Feb 16, 2018·Reports on Progress in Physics·Markus Heyl
Jan 20, 2018·Physical Review. E·Kh P GnatenkoV M Tkachuk
Sep 28, 2017·Physical Review Letters·N Tizón-EscamillaP I Hurtado
Feb 6, 2019·Physical Review Letters·Kunkun WangPeng Xue
Sep 2, 2019·Chaos·Carlos Pérez-Espigares, Pablo I Hurtado
Dec 25, 2019·Physical Review. E·Timur Aslyamov, Iskander Akhatov
Feb 20, 2020·Physical Review. E·Milan Knežević, Miloš Knežević
Feb 17, 2018·Physical Review. E·Aydin DegerChristian Flindt
Oct 31, 2020·Physical Review Letters·R Hurtado-GutiérrezP I Hurtado
May 20, 2021·Physical Review. E·L-C ZhaoJ Liu
Aug 20, 2021·Science Advances·Akhil FrancisAlexander F Kemper

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