Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2008-09-17
EPL, 84 (2008) 67008
Physics
Condensed Matter
Statistical Mechanics
6 pages, 4 eps color figures
Scientific paper
10.1209/0295-5075/84/67008
We 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.
Deng Shusa
Ortiz Gerardo
Viola Lorenza
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