Experimental Determination of Dynamical Lee-Yang Zeros

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Experimental Determination of Dynamical Lee-Yang Zeros. / Brandner, Kay; Maisi, Ville; Pekola, Jukka P.; Garrahan, Juan P.; Flindt, Christian.

julkaisussa: Physical Review Letters, Vuosikerta 118, Nro 18, 180601, 04.05.2017, s. 1-6.

Tutkimustuotos: Lehtiartikkelivertaisarvioitu

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Brandner, Kay ; Maisi, Ville ; Pekola, Jukka P. ; Garrahan, Juan P. ; Flindt, Christian. / Experimental Determination of Dynamical Lee-Yang Zeros. Julkaisussa: Physical Review Letters. 2017 ; Vuosikerta 118, Nro 18. Sivut 1-6.

Bibtex - Lataa

@article{d98daeeb66224a5ba8fe85f54a544ed3,
title = "Experimental Determination of Dynamical Lee-Yang Zeros",
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.",
author = "Kay Brandner and Ville Maisi and Pekola, {Jukka P.} and Garrahan, {Juan P.} and Christian Flindt",
year = "2017",
month = "5",
day = "4",
doi = "10.1103/PhysRevLett.118.180601",
language = "English",
volume = "118",
pages = "1--6",
journal = "Physical Review Letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "18",

}

RIS - Lataa

TY - JOUR

T1 - Experimental Determination of Dynamical Lee-Yang Zeros

AU - Brandner, Kay

AU - Maisi, Ville

AU - Pekola, Jukka P.

AU - Garrahan, Juan P.

AU - Flindt, Christian

PY - 2017/5/4

Y1 - 2017/5/4

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85019017155&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.118.180601

DO - 10.1103/PhysRevLett.118.180601

M3 - Article

VL - 118

SP - 1

EP - 6

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 18

M1 - 180601

ER -

ID: 13313234