$T\bar{T}$ deformation on multiquantum mechanics and regenesis

Abstract

We study the $T\bar{T}$ deformation on multiquantum mechanical systems. By introducing dynamical coordinate transformation, we reformulate the one-dimensional $T\bar{T}$ deformation of generic quantum mechanical systems, which is consistent with the previous proposal in the literature. We further study the thermo-field-double state under the $T\bar{T}$ deformation on these systems, which include the conformal quantum mechanical system, the Sachdev-Ye-Kitaev model, and the model satisfying eigenstate thermalization hypothesis. We find common regenesis phenomena in which the signal injected into one local system can regenerate from the other local system. From the $Ad{S}_2/CF{T}_1$ perspective, we study the deformation of Jackiw-Teitelboim gravity governed by Schwarzian action and find that these regenesis phenomena are realized by exchanging boundaries graviton via the nonlocal $T\bar{T}$ coupling.

21 pages, 5 figures, minor revision, published version

References in corpus (8)

• On space of integrable quantum field theories
• An Investigation of AdS${}_2$ Backreaction and Holography
• $T\bar{T}$-deformed 2D Quantum Field Theories
• Quantum chaos transition in a two-site SYK model dual to an eternal traversable wormhole
• A holographic proof of the averaged null energy condition
• Geometrizing $T\bar{T}$
• A $T\bar{T}$ Deformation for Curved Spacetimes from 3d Gravity
• Wormholes from two-sided $T\bar{T}$-deformation

Cited by in corpus (10)

• Quantum chaos, scrambling and operator growth in $T\bar{T}$ deformed SYK models
• Non-Hermitian Hamiltonian Deformations in Quantum Mechanics
• Marginal $T\bar{T}$-Like Deformation and ModMax Theories in Two Dimensions
• Non-Hermitian quantum system generated from two coupled Sachdev-Ye-Kitaev models
• Holographic study of $T\bar{T}$ like deformed HV QFTs: holographic entanglement entropy
• Deforming the ODE/IM correspondence with $\mathrm{T}\bar{\mathrm{T}}$
• Operator size growth in Lindbladian SYK
• $T\bar{T}$ deformations and the pp wave correspondence
• $T\bar{T}$ deformation on non-Hermitian two coupled SYK model
• On SYK traversable wormhole with imperfectly correlated disorders