Page Curve from Non-Markovianity
arXiv:2101.11238 · doi:10.1007/JHEP06(2021)156
Abstract
In this letter, we use the exactly solvable Sachdev-Ye-Kitaev model to address the issue of entropy dynamics when an interacting quantum system is coupled to a non-Markovian environment. We find that at the initial stage, the entropy always increases linearly matching the Markovian result. When the system thermalizes with the environment at a sufficiently long time, if the environment temperature is low and the coupling between system and environment is weak, then the total thermal entropy is low and the entanglement between system and environment is also weak, which yields a small system entropy in the long-time steady state. This manifestation of non-Markovian effects of the environment forces the entropy to decrease in the later stage, which yields the Page curve for the entropy dynamics. We argue that this physical scenario revealed by the exact solution of the Sachdev-Ye-Kitaev model is universally applicable for general chaotic quantum many-body systems and can be verified experimentally in near future.
arXiv comment5 pages, 3 figures
References in corpus (32)
- Quantum Computing in the NISQ era and beyond
- Comments on the Sachdev-Ye-Kitaev model
- Average Entropy of a Subsystem
- Measuring entanglement entropy through the interference of quantum many-body twins
- Quantum thermalization through entanglement in an isolated many-body system
- Replica Wormholes and the Entropy of Hawking Radiation
- The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
- The Page curve of Hawking radiation from semiclassical geometry
- Chaos in AdS holography
- The Spectrum in the Sachdev-Ye-Kitaev Model
- Probing entanglement in a many-body-localized system
- The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual
- Thermoelectric transport in disordered metals without quasiparticles: the SYK models and holography
- Local criticality, diffusion and chaos in generalized Sachdev-Ye-Kitaev models
- A strongly correlated metal built from Sachdev-Ye-Kitaev models
- Solvable model for a dynamical quantum phase transition from fast to slow scrambling
- The Bulk Dual of SYK: Cubic Couplings
- Quantum quench of the Sachdev-Ye-Kitaev Model
- Non-Hermitian Linear Response Theory
- Solvable Sachdev-Ye-Kitaev models in higher dimensions: from diffusion to many-body localization
- Spread of entanglement in a Sachdev-Ye-Kitaev chain
- Competition between Chaotic and Non-Chaotic Phases in a Quadratically Coupled Sachdev-Ye-Kitaev Model
- Coadjoint orbit action of Virasoro group and two-dimensional quantum gravity dual to SYK/tensor models
- Dispersive SYK model: band structure and quantum chaos
- Tunable Quantum Chaos in the Sachdev-Ye-Kitaev Model Coupled to a Thermal Bath
- Replica wormhole and information retrieval in the SYK model coupled to Majorana chains
- A model for continuous thermal Metal to Insulator Transition
- Evaporation dynamics of the Sachdev-Ye-Kitaev model
- Subsystem Rényi Entropy of Thermal Ensembles for SYK-like models
- Non-unitary dynamics of Sachdev-Ye-Kitaev chain
- Entanglement Entropy and its Quench Dynamics for Pure States of the Sachdev-Ye-Kitaev model
- Perturbative calculations of entanglement entropy
Cited by in corpus (9)
- Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
- Symmetry Classification and Universality in Non-Hermitian Many-Body Quantum Chaos by the Sachdev-Ye-Kitaev Model
- Lindbladian dissipation of strongly-correlated quantum matter
- Lindbladian dynamics of the Sachdev-Ye-Kitaev model
- Keldysh Wormholes and Anomalous Relaxation in the Dissipative Sachdev-Ye-Kitaev Model
- Renyi Entropy Dynamics and Lindblad Spectrum for Open Quantum System
- Non-local reparametrization action in coupled Sachdev-Ye-Kitaev models
- Entanglement Transition and Replica Wormhole in the Dissipative Sachdev-Ye-Kitaev Model
- Dissipation- versus Chaos-Induced Relaxation in Non-Markovian Quantum Many-Body Systems