论文标题
强度配对波动区域中单位费米气体的量子混乱
Quantum Chaos of Unitary Fermi Gases in Strong Pairing Fluctuation Region
论文作者
论文摘要
研究了N-Formi Fermi气体中的超时订购相关器的增长率，并计算出Lyapunove指数$λ_l$的增长率，计算为$ 1/n $的订单。我们发现，随着相互作用强度从BCS限制到统一区域，Lyapunove指数单调增加。在单位性时，lyapunove指数在温度下降时增加，并且可以达到$ n = 1 $ case的临界温度周围的$λ_l\ sim t $。该系统更快地争夺更强的配对波动。在BCS限制下，Lyapunov指数为$λ_l\ propto e^{μ/t} a^2_s t^2/n $。
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 $λ_L\propto e^{μ/T} a^2_s T^2/N$.
