# Entanglement and confinement in coupled quantum systems

@article{Alet2020EntanglementAC,
title={Entanglement and confinement in coupled quantum systems},
author={Fabien Alet and Masanori Hanada and A. Jevicki and Cheng（彭程） Peng},
journal={arXiv: High Energy Physics - Theory},
year={2020}
}
We study some general properties of coupled quantum systems. We consider simple interactions between two copies of identical Hamiltonians such as the SYK model, Pauli spin chains with random magnetic field and harmonic oscillators. Such couplings make the ground states close to the thermofield double states of the uncoupled Hamiltonians. For the coupled SYK model, we push the numerical computation further towards the thermodynamic limit so that an extrapolation in the size of the system is… Expand
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#### References

SHOWING 1-10 OF 54 REFERENCES
Quenched coupling, entangled equilibria, and correlated composite operators: a tale of two O(N) models
• Physics
• Journal of High Energy Physics
• 2019
Abstract A macroscopic version of Einstein-Podolsky-Rosen entanglement is obtained by quenching a quadratic coupling between two O(N) vector models. A quench of the mixed vacuum produces anExpand
Entanglement as a probe of confinement
• Physics
• 2008
Abstract We investigate the entanglement entropy in gravity duals of confining large N c gauge theories using the proposal of [S. Ryu, T. Takayanagi, Phys. Rev. Lett. 96 (2006) 181602, hep-th/0603001Expand
Product spectrum ansatz and the simplicity of thermal states
• Physics
• Physical Review A
• 2019
Calculating the physical properties of quantum thermal states is a difficult problem for classical computers, rendering it intractable for most quantum many-body systems. A quantum computer, byExpand
Thermal phase transition in Yang-Mills matrix model
• Physics
• Journal of High Energy Physics
• 2020
We study the bosonic matrix model obtained as the high-temperature limit of two-dimensional maximally supersymmetric SU($N$) Yang-Mills theory. So far, no consensus about the order of theExpand
Quantum chaos transition in a two-site Sachdev-Ye-Kitaev model dual to an eternal traversable wormhole
• Physics
• Physical Review D
• 2019
It has been recently proposed by Maldacena and Qi that an eternal traversable wormhole in a two-dimensional anti–de Sitter space is the gravity dual of the low temperature limit of twoExpand
Black holes, entanglement and random matrices
• Physics
• 2014
We provide evidence that strong quantum entanglement between Hilbert spaces does not generically create semiclassical wormholes between the corresponding geometric regions in the context of theExpand
The Page curve of Hawking radiation from semiclassical geometry
• Physics
• 2019
We consider a gravity theory coupled to matter, where the matter has a higher-dimensional holographic dual. In such a theory, finding quantum extremal surfaces becomes equivalent to finding theExpand
Partial-Symmetry-Breaking Phase Transitions
• Physics
• 2020
We demonstrate a novel feature of certain phase transitions in theories with large rank symmetry group that exhibit specific types of non-local interactions. A typical example of such a theory is aExpand
Islands outside the horizon
• Physics
• 2019
We consider an AdS$_2$ black hole in equilibrium with a bath, which we take to have a dual description as (0+1)-dimensional quantum mechanical system coupled to a (1+1)-dimensional field theoryExpand
How to build the thermofield double state
• Physics
• Journal of High Energy Physics
• 2019
A bstractGiven two copies of any quantum mechanical system, one may want to prepare them in the thermofield double state for the purpose of studying thermal physics or black holes. However, theExpand