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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.
Science Bulletin
|January 20, 2023
Summary
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.
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.
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