KAY BRANDNER KAY.BRANDNER@NOTTINGHAM.AC.UK
Assistant Professor
Experimental Determination of Dynamical Lee-Yang Zeros
Brandner, Kay; Maisi, Ville F.; Pekola, Jukka P.; Garrahan, Juan P.; Flindt, Christian
Authors
Ville F. Maisi
Jukka P. Pekola
JUAN GARRAHAN JUAN.GARRAHAN@NOTTINGHAM.AC.UK
Professor of Physics
Christian 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 non-equilibrium 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 observing Lee-Yang zeros in such non-equilibrium 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 short-time observations of the Lee-Yang zeros, we predict the largedeviation 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.
Citation
Brandner, K., Maisi, V. F., Pekola, J. P., Garrahan, J. P., & Flindt, C. (2017). Experimental Determination of Dynamical Lee-Yang Zeros. Physical Review Letters, 118(18), Article 180601. https://doi.org/10.1103/physrevlett.118.180601
Journal Article Type | Article |
---|---|
Acceptance Date | Apr 10, 2017 |
Online Publication Date | May 4, 2017 |
Publication Date | May 5, 2017 |
Deposit Date | Apr 19, 2017 |
Publicly Available Date | May 4, 2017 |
Journal | Physical Review Letters |
Print ISSN | 0031-9007 |
Electronic ISSN | 1079-7114 |
Publisher | American Physical Society |
Peer Reviewed | Peer Reviewed |
Volume | 118 |
Issue | 18 |
Article Number | 180601 |
DOI | https://doi.org/10.1103/physrevlett.118.180601 |
Public URL | https://nottingham-repository.worktribe.com/output/855206 |
Publisher URL | https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.118.180601 |
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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf
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