Document Type
Article
Publication Date
1-13-2009
Publication Title
Europhysics Letters
Department
Department of Physics and Astronomy
Abstract
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.
DOI
10.1209/0295-5075/84/67008
Original Citation
S. Deng et al 2009 EPL 84 67008
Dartmouth Digital Commons Citation
Deng, S.; Ortiz, G.; and Viola, L., "Dynamical Non-Ergodic Scaling in Continuous Finite-Order Quantum Phase Transitions" (2009). Dartmouth Scholarship. 841.
https://digitalcommons.dartmouth.edu/facoa/841
