S. Deng et al 2008 EPL 84 67008 doi:10.1209/0295-5075/84/67008
S. Deng1, G. Ortiz2 and L. Viola1
Show affiliationsWe investigate the emergence of universal dynamical scaling in quantum critical spin systems adiabatically driven out of equilibrium, with emphasis on quench dynamics which involves non-isolated critical points (i.e., critical regions) and cannot be a priori described through standard scaling arguments nor time-dependent perturbative approaches. Comparing to the case of an isolated quantum critical point, we find that non-equilibrium scaling behavior of a large class of physical observables may still be explained in terms of equilibrium critical exponents. However, the latter are in general non-trivially path-dependent, and detailed knowledge about the time-dependent excitation process becomes essential. In particular, we show how multiple level crossings within a gapless phase may completely suppress excitation depending on the control path. Our results typify non-ergodic scaling in continuous finite-order quantum phase transitions.
73.43.Nq Quantum phase transitions
Condensed matter: electrical, magnetic and optical
Issue 6 (December 2008)
Received 23 July 2008, accepted for publication 13 November 2008
Published 12 January 2009
S. Deng et al 2008 EPL 84 67008
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