Nation, C;
Porras, D;
(2020)
Taking snapshots of a quantum thermalization process: Emergent classicality in quantum jump trajectories.
Physical Review E
, 102
(4)
, Article 042115. 10.1103/physreve.102.042115.
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Abstract
We investigate theoretically the emergence of classical statistical physics in a finite quantum system that is either totally isolated or otherwise subjected to a quantum measurement process. We show via a random matrix theory approach to nonintegrable quantum systems that the set of outcomes of the measurement of a macroscopic observable evolve in time like stochastic variables, whose variance satisfies the celebrated Einstein relation for Brownian diffusion. Our results show how to extend the framework of eigenstate thermalization to the prediction of properties of quantum measurements on an otherwise closed quantum system. We show numerically the validity of the random matrix approach in quantum chain models.
| Type: | Article |
|---|---|
| Title: | Taking snapshots of a quantum thermalization process: Emergent classicality in quantum jump trajectories |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/physreve.102.042115 |
| Publisher version: | https://doi.org/10.1103/physreve.102.042115 |
| Language: | English |
| Additional information: | This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | Brownian motion, Eigenstate thermalization, Entropy production, Nonequilibrium & irreversible thermodynamics, Nonequilibrium statistical mechanics, Quantum quench, Quantum statistical mechanics |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10112235 |
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