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Late Time Quantum Chaos of pure states in the SYK model · Around

2019

Late Time Quantum Chaos of pure states in the SYK model

Numasawa, Tokiro

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In this letter, we study the return amplitude, which is the overlap between the initial state and the time evolved state, in the Sachdev-Ye-Kitaev (SYK) model.

Initial states are taken to be product states in a spin basis.
We numerically study the return amplitude by exactly diagonalizing the Hamiltonian.
We also derive the analytic expression for the return amplitude in random matrix theory.

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