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arXiv · 2002.05759

Quantum Chaos of Unitary Fermi Gases in Strong Pairing Fluctuation Region

Xinloong Han·Boyang Liu
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Abstract

The growth rate of the out-of-time-ordered correlator in a N-flavor Fermi gas is investigated and the Lyapunove exponent $λ_L$ is calculated to the order of $1/N$. We find that the Lyapunove exponent monotonically increases as the the interaction strength increases from the BCS limit to the unitary region. At the unitarity the Lyapunove exponent increases while the temperature drops and it can reach to the order of $λ_L\sim T$ around the critical temperature for the $N=1$ case. The system scrambles faster for stronger pairing fluctuations. At the BCS limit, the Lyapunov exponent behaviors as $λ_L\propto e^{μ/T} a^2_s T^2/N$.

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Xinloong Han, Boyang Liu. 2020-03-10. Quantum Chaos of Unitary Fermi Gases in Strong Pairing Fluctuation Region. https://doi.org/10.1103/physrevb.102.045123

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