Dynamical thermalization in isolated quantum dots and black holes
arXiv:1612.06630 · doi:10.1209/0295-5075/117/10003
Abstract
We study numerically a model of quantum dot with interacting fermions. At strong interactions with small conductance the model is reduced to the Sachdev-Ye-Kitaev black hole model while at weak interactions and large conductance it describes a Landau Fermi liquid in a regime of quantum chaos. We show that above the Aberg threshold for interactions there is an onset of dynamical themalization with the Fermi-Dirac distribution describing the eigenstates of isolated dot. At strong interactions in the isolated black hole regime there is also onset of dynamical thermalization with the entropy described by the quantum Gibbs distribution. This dynamical thermalization takes place in an isolated system without any contact with thermostat. We discuss possible realization of these regimes with quantum dots of 2D electrons and cold ions in optical lattices.
arXiv comment7 pages, 7 figs
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Cited by in corpus (15)
- A strongly correlated metal built from Sachdev-Ye-Kitaev models
- The Bulk Dual of SYK: Cubic Couplings
- Analytical Spectral Density of the Sachdev-Ye-Kitaev Model at finite N
- Symmetry Breaking in Coupled SYK or Tensor Models
- Non-ergodic extended states in the SYK model
- A minimal model of many body localization
- Disorder in the Sachdev-Yee-Kitaev Model
- Low-rank Sachdev-Ye-Kitaev models
- Quantum ergodicity in the many-body localization problem
- Probing Quantum Chaos in many-body quantum systems by the induced dissipation
- Evaporative cooling and self-thermalization in an open system of interacting fermions
- Dynamical decoherence of a qubit coupled to a quantum dot or the SYK black hole
- Dynamical thermalization of interacting fermionic atoms in a Sinai-oscillator trap
- Chaotic and regular dynamics in the three-site Bose-Hubbard model
- Classical periodic trajectories and quantum scars in many-spin systems