Dresden 2017 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 46: Focus Session: Collective Quantum Dynamics: From Fundamentals to New Phenomena

TT 46.5: Hauptvortrag

Mittwoch, 22. März 2017, 17:15–17:45, HSZ 03

Dynamical Phase Transitions — •Stefan Kehrein — Univ. Göttingen

Phase transitions play a central role in the theory of equilibrium statistical mechanics. They are indicated by non-analytic behavior of the free energy in the thermodynamic limit, for example at a critical temperature. The goal to understand and classify equilibrium phase transitions led to the fundamental concept of universality with its far-reaching implications in many different fields of physics.

Interestingly, similar non-analytic behavior of the dynamical free energy at certain critical times has been found in the real time evolution of the quantum Ising model [1]. This behavior has been denoted dynamical phase transition and has since been theoretically investigated in numerous other non-equilibrium quantum many-body models. Recently, the first experimental observation of dynamical phase transitions was reported in an ultracold fermionic quantum gas that was quenched between a static and a Floquet Hamiltonian [2].

This talk will give an overview over the current theoretical understanding of such dynamical phase transitions, the role of non-zero temperature and non-integrable perturbations, and possible experimental verifications.

[1] M. Heyl, A. Polkovnikov, and S. Kehrein, Phys. Rev. Lett. 110, 135704 (2013)

[2] N. Fläschner, D. Vogel, M. Tarnowski, B. S Rem, D.-S. Lühmann, M. Heyl, J. C. Budich, L. Mathey, K. Sengstock, and C. Weitenberg, arXiv:1608.05616