Emergent Irreversibility and Entanglement Spectrum Statistics

Chamon, Claudio; Hamma, Alioscia; Mucciolo, Eduardo R.

doi:10.1103/PhysRevLett.112.240501

Emergent Irreversibility and Entanglement Spectrum Statistics

Jun 16, 2014

Published in:

Phys.Rev.Lett. 112 (2014) 24, 240501

Published: Jun 16, 2014

DOI:

10.1103/PhysRevLett.112.240501

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Abstract: (APS)

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.Received 13 November 2013DOI:https://doi.org/10.1103/PhysRevLett.112.240501© 2014 American Physical Society

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