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.
SormenjälkiSukella tutkimusaiheisiin 'Experimental Determination of Dynamical Lee-Yang Zeros'. Ne muodostavat yhdessä ainutlaatuisen sormenjäljen.
- 2 Päättynyt
Golubev, D., Volovik, G., Westström, A., Tuoriniemi, J., Najafi Jabdaraghi, R., Pekola, J., Pöyhönen, K., Singh, S., Feshchenko, A., Kauppila, V., Senior, J., Viisanen, K., Wang, L., Khan, R., Padurariu, C., Lähteenmäki, P. & Ronzani, A.
01/01/2015 → 31/12/2017
Projekti: Academy of Finland: Other research funding