Marco Tavora

Power-law decay exponents: A dynamical criterion for predicting thermalization

From the analysis of the relaxation process of isolated lattice many-body quantum systems quenched far from equilibrium, we deduce a criterion for predicting when they are certain to thermalize. It is based on the algebraic behavior

Short-time universal scaling and light-cone dynamics after a quench in an isolated quantum system in

\propto t^{-\gamma}

d

of the survival probability at long times. We show that the value of the power-law exponent

spatial dimensions

\gamma

Quench dynamics of one-dimensional interacting bosons in a disordered potential: elastic dephasing and critical speeding-up of thermalization.

depends on the shape and filling of the weighted energy distribution of the initial state. Two scenarios are explored in details:

Quench dynamics of one-dimensional bosons in a commensurate periodic potential: A quantum kinetic equation approach

\gamma \ge 2

From few- to many-body quantum systems

and

Short-time universal scaling in an isolated quantum system after a quench

\gamma <1

Powerlaw Decay Exponents as Predictors of Thermalization in Many-Body Quantum Systems

. Exponents

Erratum: Short-time universal scaling in an isolated quantum system after a quench [Phys. Rev. B 91, 220302(R) (2015)]

\gamma \ge 2