Experimental observation of dynamical Lee-Yang zeros
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 idea...
| Main Authors: | , , , , |
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| Format: | Article |
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American Physical Society
2017
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| Online Access: | https://eprints.nottingham.ac.uk/42026/ |
| _version_ | 1848796401963630592 |
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| author | Brandner, Kay Maisi, Ville F. Pekola, Jukka P. Garrahan, Juan P. Flindt, Christian |
| author_facet | Brandner, Kay Maisi, Ville F. Pekola, Jukka P. Garrahan, Juan P. Flindt, Christian |
| author_sort | Brandner, Kay |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T19:47:24Z |
| format | Article |
| id | nottingham-42026 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:47:24Z |
| publishDate | 2017 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-420262020-05-04T18:41:21Z https://eprints.nottingham.ac.uk/42026/ Experimental observation of dynamical Lee-Yang zeros Brandner, Kay Maisi, Ville F. Pekola, Jukka P. Garrahan, Juan P. Flindt, Christian 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. American Physical Society 2017-04-10 Article PeerReviewed Brandner, Kay, Maisi, Ville F., Pekola, Jukka P., Garrahan, Juan P. and Flindt, Christian (2017) Experimental observation of dynamical Lee-Yang zeros. Physical Review Letters . ISSN 1079-7114 (In Press) |
| spellingShingle | Brandner, Kay Maisi, Ville F. Pekola, Jukka P. Garrahan, Juan P. Flindt, Christian Experimental observation of dynamical Lee-Yang zeros |
| title | Experimental observation of dynamical Lee-Yang zeros |
| title_full | Experimental observation of dynamical Lee-Yang zeros |
| title_fullStr | Experimental observation of dynamical Lee-Yang zeros |
| title_full_unstemmed | Experimental observation of dynamical Lee-Yang zeros |
| title_short | Experimental observation of dynamical Lee-Yang zeros |
| title_sort | experimental observation of dynamical lee-yang zeros |
| url | https://eprints.nottingham.ac.uk/42026/ |