论文标题
用被困离子的模拟鹰辐射验证上限
Verifying the upper bound on the speed of scrambling with the analogue Hawking radiation of trapped ions
论文作者
论文摘要
量子系统的Lyapunov指数上的一般界限由$λ_l\leq2π\，t/\ hbar $给出，其中$ t $是系统温度，由Maldacena，Shenker和Stanford（MSS）确定。当所考虑的系统是黑洞的确切全息二偶性时，该上限就会饱和。还显示出一个倒的谐波振荡器（IHO）可能表现出热能发射的行为，与黑洞发出的鹰辐射相比。我们证明，IHO的Lyapunov指数确实使MSS结合，有效温度等于模拟黑洞辐射温度，并提出使用捕获的离子作为IHO的物理实现。我们得出了相应的超时相关函数（OTOC）诊断量子混乱，理论上显示了一个可实现的可实现的设置，表明被困的ION-IHO的有效温度与上的MSS相匹配，以限制为拼凑而上的速度。
A general bound on the Lyapunov exponent of a quantum system is given by $λ_L\leq2π\,T/\hbar$, where $T$ is the system temperature, as established by Maldacena, Shenker, and Stanford (MSS). This upper bound is saturated when the system under consideration is the exact holographic dual of a black hole. It has also been shown that an inverted harmonic oscillator (IHO) may exhibit the behavior of thermal energy emission, in close analogy to the Hawking radiation emitted by black holes. We demonstrate that the Lyapunov exponent of the IHO indeed saturates the MSS bound, with an effective temperature equal to the analogue black hole radiation temperature, and propose using a trapped ion as a physical implementation of the IHO. We derive the corresponding out-of-time-ordered correlation function (OTOC) diagnosing quantum chaos, and theoretically show, for an experimentally realizable setup, that the effective temperature of the trapped-ion-IHO matches the upper MSS bound for the speed of scrambling.
