Chenu A, Egusquiza I L, Molina-Vilaplana J, Del Campo A
Massachusetts Institute of Technology, 77 Massachusetts Avenue, Cambridge, MA, 02139, USA.
Theoretical division, Los Alamos National Laboratory, Los Alamos, New Mexico, 87545, USA.
Sci Rep. 2018 Aug 22;8(1):12634. doi: 10.1038/s41598-018-30982-w.
A universal relation is established between the quantum work probability distribution of an isolated driven quantum system and the Loschmidt echo dynamics of a two-mode squeezed state. When the initial density matrix is canonical, the Loschmidt echo of the purified double thermofield state provides a direct measure of information scrambling and can be related to the analytic continuation of the partition function. Information scrambling is then described by the quantum work statistics associated with the time-reversal operation on a single copy, associated with the sudden negation of the system Hamiltonian.
在一个孤立的驱动量子系统的量子功概率分布与双模压缩态的洛施密特回波动力学之间建立了一种普遍关系。当初始密度矩阵是正则的时候，纯化的双热场态的洛施密特回波提供了信息扰频的直接度量，并且可以与配分函数的解析延拓相关联。然后，信息扰频由与单个副本上的时间反演操作相关联的量子功统计来描述，该操作与系统哈密顿量的突然取负有关。
