Can I read Non-equilibrium Quantum Relaxation Across a Localization-delocalization Transition on EtoBox?

Non-equilibrium Quantum Relaxation Across a Localization-delocalization Transition by Roósz, Gergö; Divakaran, Uma; Rieger, Heiko; Iglói, Ferenc is a scholarly article available to read on EtoBox.

What is Non-equilibrium Quantum Relaxation Across a Localization-delocalization Transition about?

We consider the one-dimensional $XX$-model in a quasi-periodic transverse-field described by the Harper potential, which is equivalent to a tight-binding model of spinless fermions with a quasi-periodic chemical potential. For weak transverse field (chemical potential), $h<h_c$, the excitations (fermions) are delocalized, but become localized for $h>h_c$. We study the non-equilibrium relaxation of the system by applying two protocols: a sudden change of $h$ (quench dynamics) and a slow change of $h$ in time (adiabatic dynamics). For a quench into the delocalized (localized) phase, the entanglement entropy grows linearly (saturates) and the order parameter decreases exponentially (has a finite limiting value). For a critical quench the entropy increases algebraically with time, whereas the order parameter decreases with a stretched-exponential. The density of defects after an adiabatic field change through the critical point is shown to scale with a power of the rate of field change and a scaling relation for the exponent is derived.

Author

Roósz, Gergö; Divakaran, Uma; Rieger, Heiko; Iglói, Ferenc

Published

2014

Language

EN