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Towards quantum simulation of Sachdev-Ye-Kitaev model.

Ye Cao1, Yi-Neng Zhou2, Ting-Ting Shi2

  • 1School of Physics, Beijing Institute of Technology, Beijing 100081, China.

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|January 20, 2023
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Summary
This summary is machine-generated.

We simplified the Sachdev-Ye-Kitaev (SYK) model using discrete interactions, observing a quantum phase transition. This simplified model accurately reproduces SYK physics, easing experimental realization.

Keywords:
Gaussian orthogonal ensembleGround-state entanglementOut-of-time-order correlationSachdev-Ye-Kitaev model

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Area of Science:

  • Quantum Many-Body Physics
  • Condensed Matter Theory
  • Quantum Chaos

Background:

  • The Sachdev-Ye-Kitaev (SYK) model describes maximal quantum chaos.
  • Realizing the SYK model experimentally requires complex, continuous random interactions.

Purpose of the Study:

  • To investigate a simplified SYK model with discrete interactions.
  • To explore the possibility of a quantum phase transition in this discrete model.
  • To assess the feasibility of experimental realization under relaxed conditions.

Main Methods:

  • Exact diagonalization of a simplified SYK model.
  • Analysis of systems with discrete interaction strengths.
  • Comparison of physical quantities (entanglement, level distribution, entropy, OTOCs) with the original SYK model.

Main Results:

  • A quantum phase transition from a chaotic to an integrable state was observed as discrete separation increased.
  • The discrete model accurately reproduces key physical quantities of the original SYK model below the critical value.
  • The transition point increases with system size, suggesting weak randomness stabilizes chaos.

Conclusions:

  • A simplified SYK model with discrete interactions is a viable alternative to the continuous model.
  • This simplification significantly reduces the complexity for experimental realization.
  • The findings pave the way for more accessible experimental studies of quantum chaos.