期刊
PHYSICAL REVIEW B
卷 105, 期 7, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.105.075117
关键词
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资金
- Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) [217133147/SFB 1073]
- Deutsche akademische Austauschdienst (DAAD, German Academic Exchange Service)
We investigate the nonequilibrium dynamics of complex Sachdev-Ye-Kitaev (SYK) models in the q -> infinity limit. We find that a single SYK q -> infinity Hamiltonian is a perfect thermalizer for t >= 0, with the local Green's function becoming instantaneously thermal. The quantum state only retains memories of its charge density and energy density at t = 0 for t < 0. This result holds for all quantum states that can be expanded using a 1/q expansion.
We investigate the nonequilibrium dynamics of complex Sachdev-Ye-Kitaev (SYK) models in the q -> infinity limit, where q/2 denotes the order of the random Dirac fermion interaction. We extend previous results by Eberlein et al. [Phys. Rev. B 96, 205123 (2017)] to show that a single SYK q -> infinity Hamiltonian for t >= 0 is a perfect thermalizer in the sense that the local Green's function is instantaneously thermal. The only memories of the quantum state for t < 0 are its charge density and its energy density at t = 0. Our result is valid for all quantum states amenable to a 1/q expansion, which are generated from an equilibrium SYK state in the asymptotic past and acted upon by an arbitrary combination of time-dependent SYK Hamiltonians for t < 0. Importantly, this implies that a single SYK q -> infinity Hamiltonian is a perfect thermalizer even for nonequilibrium states generated in this manner.
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