We investigate the quench dynamics of an open quantum system involving a quantum phase transition. In the isolated case, the quench dynamics involving the phase transition exhibits a number of scaling relations with the quench rate as predicted by the celebrated Kibble-Zurek mechanism. In contact with an environment however, these scaling laws break down and one may observe an anti-Kibble-Zurek behavior: slower ramps lead to less adiabatic dynamics, increasing thus nonadiabatic effects with the quench time. In contrast to previous works, we show here that such anti-Kibble-Zurek scaling can acquire a universal form in the sense that it is determined by the equilibrium critical exponents of the phase transition, provided the excited states of the system exhibit singular behavior, as observed in fully connected models. This demonstrates novel universal scaling laws granted by a system-environment interaction in a critical system. We illustrate these findings in two fully connected models, namely, the quantum Rabi and the Lipkin-Meshkov-Glick models. In addition, we discuss the impact of nonlinear ramps and finite-size systems.
Universal Anti-Kibble-Zurek Scaling in Fully Connected Systems / R. Puebla, A. Smirne, S.F. Huelga, M.B. Plenio. - In: PHYSICAL REVIEW LETTERS. - ISSN 0031-9007. - 124:23(2020 Jun 11).
|Titolo:||Universal Anti-Kibble-Zurek Scaling in Fully Connected Systems|
SMIRNE, ANDREA (Secondo)
|Settore Scientifico Disciplinare:||Settore FIS/02 - Fisica Teorica, Modelli e Metodi Matematici|
Settore FIS/03 - Fisica della Materia
|Data di pubblicazione:||11-giu-2020|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1103/PhysRevLett.124.230602|
|Appare nelle tipologie:||01 - Articolo su periodico|