Kopylov Wassilij, Schaller Gernot, Brandes Tobias
Institut für Theoretische Physik, Technische Universität Berlin, D-10623 Berlin, Germany.
Phys Rev E. 2017 Jul;96(1-1):012153. doi: 10.1103/PhysRevE.96.012153. Epub 2017 Jul 28.
We theoretically investigate the impact of the excited state quantum phase transition on the adiabatic dynamics for the Lipkin-Meshkov-Glick model. Using a time-dependent protocol, we continuously change a model parameter and then discuss the scaling properties of the system especially close to the excited state quantum phase transition where we find that these depend on the energy eigenstate. On top, we show that the mean-field dynamics with the time-dependent protocol gives the correct scaling and expectation values in the thermodynamic limit even for the excited states.
我们从理论上研究了激发态量子相变对Lipkin-Meshkov-Glick模型绝热动力学的影响。使用一个含时协议，我们连续改变一个模型参数，然后讨论系统的标度性质，特别是接近激发态量子相变的情况，我们发现这些性质取决于能量本征态。此外，我们表明，即使对于激发态，在热力学极限下，含时协议的平均场动力学也能给出正确的标度和期望值。
