Emergent Irreversibility and Entanglement Spectrum Statistics
Abbreviated Journal Title
Phys. Rev. Lett.
QUANTUM-SYSTEMS; TRANSITION; INSULATOR; DYNAMICS; Physics, Multidisciplinary
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.
Physical Review Letters
"Emergent Irreversibility and Entanglement Spectrum Statistics" (2014). Faculty Bibliography 2010s. 5142.