论文标题
在接近相变的量子狂犬模型中非绝热性的缩放
Scaling of non-adiabaticity in disordered quench of quantum Rabi model close to phase transition
论文作者
论文摘要
即使对于临界点附近的缓慢淬火，系统的动力学也表现出非绝热性。我们分析了量子狂犬模型的非绝热量化剂淬火中对疾病的反应，该模型具有正常阶段和超级阶段之间的相变。我们考虑了Rabi模型中淬火的无序版本，其中驻留在正常阶段初始汉密尔顿的基础状态的系统被淬灭到与临界点相对应的最终汉密尔顿。该疾病在淬火或淬灭参数本身的总时间内插入。我们通过数值求解相应的量子动力学，发现非绝热效应不受淬火时间中疾病的存在影响。然后，通过应用绝热扰动理论和千禧年的机制来独立确认该结果。对于猝灭参数中的疾病，我们报告了与该疾病强度的绝热性增加的单调增加。最后，我们认为最终的汉密尔顿人被选为无序的最终哈密顿量的平均水平，并表明这种淬火比最终哈密顿尔顿氏症中的疾病的淬火平均水平更为绝热。
Dynamics of a system exhibits non-adiabaticity even for slow quenches near critical points. We analyze the response to disorder in quenches on a non-adiabaticity quantifier for the quantum Rabi model, which possesses a phase transition between normal and superradiant phases. We consider a disordered version of a quench in the Rabi model, in which the system residing in the ground state of an initial Hamiltonian of the normal phase is quenched to the final Hamiltonian corresponding to the critical point. The disorder is inserted either in the total time the quench or in the quench parameter itself. We solve the corresponding quantum dynamics numerically, and find that the non-adiabatic effects are unaffected by the presence of disorder in the total time of the quench. This result is then independently confirmed by the application of adiabatic perturbation theory and the Kibble- Zurek mechanism. For the disorder in the quench parameter, we report a monotonic increase in the adiabaticity with the strength of the disorder. Lastly, we consider a quench where the final Hamiltonian is chosen as the average over the disordered final Hamiltonians, and show that this quench is more adiabatic than the average of the quenches with the disorder in final Hamiltonian.
