Entanglement and confinement in coupled quantum systems

  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},
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
Traversable wormhole and Hawking-Page transition in coupled complex SYK models
Recent work has shown that coupling two identical Sachdev-Ye-Kitaev (SYK) models can realize a phase of matter that is holographically dual to an \emph{eternal traversable wormhole}. This phaseExpand
Revival Dynamics in a Traversable Wormhole.
This work studies the revival dynamics of signals sent between two weakly coupled quantum chaotic systems, represented as identical Sachdev-Ye-Kitaev models, that realize holographically a traversable wormhole in anti-de Sitter spacetime AdS_{2} for large number N of particles. Expand
Gauge invariant target space entanglement in D-brane holography
It has been suggested in arXiv:2004.00613 that in Dp-brane holography entanglement in the target space of the D-brane Yang-Mills theory provides a precise notion of bulk entanglement in the gravityExpand
Soft modes in N $$ \mathcal{N} $$ = 2 SYK model
We study various properties of the soft modes in the N $$ \mathcal{N} $$ = 2 supersymmetric SYK model.
Bulk geometry in gauge/gravity duality and color degrees of freedom
U(N) supersymmetric Yang-Mills theory naturally appears as the low-energy effective theory of a system of N D-branes and open strings between them. Transverse spatial directions emerge from scalarExpand
Dynamical Symmetry and the Thermofield State at Large $N$
We discus Thermofield Double QFT at real time, in the large N limit. First, we establish a (dynamical) symmetry which we argue holds in general on the real time portion of the Schwinger-KelydishExpand
Large N Optimization for multi-matrix systems
In this work we revisit the problem of solving multi-matrix systems through numerical large N methods. The framework is a collective, loop space representation which provides a constrainedExpand
Quantum Heat Engines with Complex Working Media, Complete Otto Cycles and Heuristics
This paper examines the performance of a quasi-static quantum Otto engine based on two spins of arbitrary magnitudes subject to an external magnetic field and coupled via an isotropic Heisenberg exchange interaction and formulates heuristics to infer the necessary conditions for an engine with uncoupled as well as coupled spin model. Expand
Sparse SYK and traversable wormholes
We investigate two sparse Sachdev-Ye-Kitaev (SYK) systems coupled by a bilinear term as a holographic quantum mechanical description of an eternal traversable wormhole in the low temperature limit.Expand
Toward simulating superstring/M-theory on a quantum computer
Abstract We present a novel framework for simulating matrix models on a quantum computer. Supersymmetric matrix models have natural applications to superstring/M-theory and gravitational physics, inExpand


Quenched coupling, entangled equilibria, and correlated composite operators: a tale of two O(N) models
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
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
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
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
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
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
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
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
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
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