Status | Confirmed |
Seminar Series | LPTMS |
Subjects | cond-mat.stat-mech |
Date | Tuesday 18 October 2022 |
Time | 11:00 |
Institute | LPTMS |
Seminar Room | Salle des séminaires du FAST et du LPTMS, bâtiment Pascal n°530 |
Speaker's Last Name | Carpentier |
Speaker's First Name | David |
Speaker's Email Address | |
Speaker's Institution | Ecole Normale Supérieure de Lyon |
Title | Anomalous Luttinger equivalence between temperature and curved spacetime: From black holes to thermal quenches |
Abstract | In condensed matter, thermal response theory relies on a deep connection between gravitational fields and thermal transport, established in 1964 by Luttinger, building on earlier ideas of Tolman and Ehrenfest. Does this connection extend beyond pure technical considerations ? In this work, we revisit the celebrated Tolman-Ehrenfest and Luttinger relations and show how to incorporate anomalous quantum fluctuations that become paramount in a strongly curved spacetime. Our extended correspondence between temperature variations and curvature of spacetime incorporates new quantum energy scales associated with these fluctuations, captured by the so-called gravitational anomalies of quantum field theories. On one hand we point out that such anomalous fluctuations naturally occur in the quantum atmosphere of a black hole. On the other hand, our extended correspondance implies that analogous fluctuations are also observable in thermal conductors in the flat-space time of a laboratory, provided that the local temperature varies strongly. As a consequence, we establish that the gravitational anomalies manifest themselves naturally in non-linear thermal response of a quantum wire. In addition, we propose a systematic way to identify thermal analogues of black holes anomalous quantum fluctuations associated to gravitational anomalies. We identify their signatures in propagating energy waves following a thermal quench, as well as in the energy density of heating Floquet states induced by repeated thermal quenches. |
arXiv Preprint Number | |
Comments | Hybrid: onsite seminar + zoom. For zoom info, please write to valentina.ros@universite-paris-saclay.fr or check LPTMS website |
Attachments |
To Generate a poster for this seminar : [ Postscript | PDF ]
|
[ English version ] |