Emergent irreversibility and entanglement spectrum statistics
Abstract
We study the problem of irreversibility when the dynamical evolution of a many-body system is described by a stochastic quantum circuit. Such evolution is more general than a Hamiltonian one, and since energy levels are not well defined, the well-established connection between the statistical fluctuations of the energy spectrum and irreversibility cannot be made. We show that the entanglement spectrum provides a more general connection. Irreversibility is marked by a failure of a disentangling algorithm and is preceded by the appearance of Wigner-Dyson statistical fluctuations in the entanglement spectrum. This analysis can be done at the wave-function level and offers an alternative route to study quantum chaos and quantum integrability.
Cite
@article{arxiv.1310.2702,
title = {Emergent irreversibility and entanglement spectrum statistics},
author = {Claudio Chamon and Alioscia Hamma and Eduardo R. Mucciolo},
journal= {arXiv preprint arXiv:1310.2702},
year = {2015}
}
Comments
updated to published version