论文标题
量子淬灭后的确切可解决的自催化玩具模型：不可逆转的放松
An Exactly Solvable Toy Model of Autocatalysis: Irreversible Relaxation after a Quantum Quench
论文作者
论文摘要
引入了完全可以解析的量子多体汉密尔顿，该量子模仿了涉及两个不同分子物种的自催化化学反应A+B <-> 2b的行为。与当前对孤立集成系统的松弛动力学的理解一致，量子淬灭后的波函数表现出不可逆性，而保留记忆的初始条件。该模型的显着特征包括与常规量子衰减的明显相似性和总的B到A转换，当初始状态不包含A型分子时，与波函数相关的经典行为相关。
A fully resolvable quantum many-body Hamiltonian is introduced that mimics the behavior of the autocatalytic chemical reaction A+B <-> 2B involving two different molecular species, A and B. The model also describes two nonlinearly-coupled modes of an optical cavity. Consistent with the current understanding of the relaxation dynamics of integrable systems in isolation, the wavefunction following a quantum quench exhibits irreversibility with retention of the memory about its initial conditions. Salient features of the model include a marked similarity with conventional quantum decay and a total B-to-A conversion, with associated classical-like behavior of the wavefunction, when the initial state does not contain A-type molecules.
