Entanglement entropies of equilibrated pure states and replica wormholes

Abstract: Consider a quantum many-body system initially in a far-from-equilibrium pure state.

If the system is non-integrable, the state should approach equilibrium after some time.

We develop an approximation to calculate quantum informational properties of such an "equilibrated pure state.” Applied to gravity systems, the approximation leads to a derivation of replica wormholes discussed recently in the context of Page curves for black holes, elucidating their mathematical origin, physical interpretation, and why they lead to answers which are consistent with unitarity.

Based on work to appear with Shreya Vardhan.

HEP - theoryquantum physics

Audience: researchers in the topic

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