Quantum Quenches in Disordered Systems: Approach to Thermal Equilibrium without a Typical Relaxation Time

Details Quantum Quenches in Disordered Systems: Approach to Thermal Equilibrium without a Typical Relaxation Time Quantum Quenches in Disordered Systems: Approach to Thermal Equilibrium without a Typical Relaxation Time

2011-03-03

arxiv.org/abs/1103.0787v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

5 pages, 5 figures

Scientific paper

We study spectral properties and the dynamics after a quench of one-dimensional spinless fermions with short-range interactions and long-range random hopping. We show that a sufficiently fast decay of the hopping term promotes localization effects at finite temperature, which prevents thermalization even if the classical motion is chaotic. For slower decays, we find that thermalization does occur. However, within this model, the latter regime falls in a new universality class, namely, observables exhibit a power-law (as opposed to an exponential) approach to their thermal expectation values.

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