Some speculations about local thermalization of nonequilibrium extended quantum systems
Abstract
We discuss the possibility of defining an emergent local temperature in extended quantum many-body systems evolving out of equilibrium. For the most simple case of free-fermionic systems, we give an explicit formula for the effective temperature in the case of, not necessarily unitary, Gaussian preserving dynamics. In this framework, we consider the hopping fermions on a one-dimensional lattice submitted to randomly distributed projective measurements of the local occupation numbers. We show from the average over many quantum trajectories that the effective temperature relaxes exponentially towards infinity.
- Publication:
-
Condensed Matter Physics
- Pub Date:
- 2023
- DOI:
- 10.5488/CMP.26.13502
- arXiv:
- arXiv:2303.01881
- Bibcode:
- 2023CMPh...2613502C
- Keywords:
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- Condensed Matter - Statistical Mechanics
- E-Print:
- 13 pages, 1 figure