Evaporation dynamics of the Sachdev-Ye-Kitaev model

Abstract

In this paper, we study the evaporation dynamics of the Sachdev-Ye-Kitaev (SYK) model, with an initial temperature $T_{\chi }$, by coupling it to a thermal bath with lower temperature $T_{\psi }<T_{\chi }$ modeled by a larger SYK model. The coupling between the small system and the bath is turned on at time $t=0$. Then the system begins to envolve and finally becomes thermalized. Using the Keldysh approach, we analyze the relaxation process of the system for different temperatures and couplings. For marginal or irrelevant coupling, after a short-time energy absorption, we find a smooth thermalization of the small system where the energy relaxes before the system become thermalized. The relaxation rate of effective temperature is found to be bounded by $T$, while the energy thermalization rate increases without saturation when increasing the coupling strength. On the contrary, for the relevant coupling case, both energy and effective temperature show oscillations. We find this oscillations frequency to be coincident with the excitation energy of a Majorana operator.

arXiv comment8 pages, 5 figures

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• Sachdev-Ye-Kitaev Models and Beyond: A Window into Non-Fermi Liquids
• A Random Unitary Circuit Model for Black Hole Evaporation
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• Lindbladian dissipation of strongly-correlated quantum matter
• Subsystem Rényi Entropy of Thermal Ensembles for SYK-like models
• Non-unitary dynamics of Sachdev-Ye-Kitaev chain
• Universal Constraints on Energy Flow and SYK Thermalization
• Dynamical Transition of Operator Size Growth in Quantum Systems Embedded in an Environment
• Entanglement Entropy and its Quench Dynamics for Pure States of the Sachdev-Ye-Kitaev model
• Quantum tunneling dynamics in a complex-valued Sachdev-Ye-Kitaev model quench-coupled to a cool bath
• Renyi entanglement entropy of Fermi liquids and non-Fermi liquids: Sachdev-Ye-Kitaev model and dynamical mean field theories
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• Page Curve from Non-Markovianity
• Ultrafast dynamics of cold Fermi gas after a local quench
• Entanglement Transition and Replica Wormhole in the Dissipative Sachdev-Ye-Kitaev Model
• Dynamical Freezing in Exactly Solvable Models of Driven Chaotic Quantum Dots
• Violation and Revival of Kramers' Degeneracy in Open Quantum Systems
• Quantum advantage in batteries for Sachdev-Ye-Kitaev interactions
• Entropy Linear Response Theory with Non-Markovian Bath
• Thermalization of Randomly Coupled SYK Models
• Energy dynamics, information and heat flow in quenched cooling and the crossover from quantum to classical thermodynamics
• Entanglement inside a black hole before the Page time
• Normal and superconducting currents through the Sachdev-Ye-Kitaev model
• More on Complex Sachdev-Ye-Kitaev Eternal Wormholes
• Josephson current through the SYK model
• Near-Equilibrium Approach to Transport in Complex Sachdev-Ye-Kitaev Models
• Dissipation- versus Chaos-Induced Relaxation in Non-Markovian Quantum Many-Body Systems