Subregion Spectrum Form Factor via Pseudo Entropy
- URL: http://arxiv.org/abs/2109.00372v1
- Date: Wed, 1 Sep 2021 13:17:19 GMT
- Title: Subregion Spectrum Form Factor via Pseudo Entropy
- Authors: Kanato Goto, Masahiro Nozaki, and Kotaro Tamaoka
- Abstract summary: We consider a transition matrix between the thermofield double state and its time-evolved state in two-dimensional field theories.
We show that the real part of the pseudo entropy behaves similarly to the spectral form factor.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We introduce a subsystem generalization of the spectral form factor via
pseudo entropy, the von-Neumann entropy for the reduced transition matrix. We
consider a transition matrix between the thermofield double state and its
time-evolved state in two-dimensional conformal field theories, and study the
time-dependence of the pseudo entropy for a single interval. We show that the
real part of the pseudo entropy behaves similarly to the spectral form factor;
it starts from the thermal entropy, initially drops to the minimum, then it
starts increasing, and finally approaches the vacuum entanglement entropy. We
also study the theory-dependence of its behavior by considering theories on a
compact space.
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