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TT¯ deformation on multi-quantum mechanics and regenesis

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He,  Song
Canonical and Covariant Dynamics of Quantum Gravity, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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2104.03852.pdf
(Preprint), 582KB

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Citation

He, S., & Xian, Z.-Y. (in preparation). TT¯ deformation on multi-quantum mechanics and regenesis.


Cite as: https://hdl.handle.net/21.11116/0000-0008-4EF7-B
Abstract
We study the $T\bar T$ deformation on a multi-quantum mechanical systems. By
introducing the dynamical coordinate transformation, we obtain the deformed
theory as well as the solution. We further study the thermo-field-double state
under the $T\bar T$ deformation on these systems, including conformal quantum
mechanical system, the Sachdev-Ye-Kitaev model, and the model satisfying
Eigenstate Thermalization Hypothesis. We find common regenesis phenomena where
the signal injected into one local system can regenerate from the other local
system. From the bulk picture, we study the deformation on Jackiw-Teitelboim
gravity governed by Schwarzian action and find that the regenesis phenomena
here are not related to the causal structure of semi-classical wormhole.