Modern concepts of quantum equilibration do not rule out strange relaxation dynamics
Abstract
Numerous pivotal concepts have been introduced to clarify the puzzle of relaxation and/or equilibration in closed quantum systems. All of these concepts rely in some way on specific conditions on Hamiltonians H , observables A , and initial states ρ or combinations thereof. We numerically demonstrate and analytically argue that there is a multitude of pairs H ,A that meet said conditions for equilibration and generate some typical expectation-value dynamics, which means <A (t )>∝f (t ) approximately holds for the vast majority of all initial states. Remarkably we find that, while restrictions on the f (t ) exist, they do not at all exclude f (t ) that are rather adverse or strange regarding thermal relaxation.
- Publication:
-
Physical Review E
- Pub Date:
- June 2020
- DOI:
- 10.1103/PhysRevE.101.062205
- arXiv:
- arXiv:2002.01710
- Bibcode:
- 2020PhRvE.101f2205K
- Keywords:
-
- Quantum Physics;
- Condensed Matter - Statistical Mechanics
- E-Print:
- 12 pages, 6 figures