Nonadiabatic dynamics of the excited states for the Lipkin-Meshkov-Glick model

被引：16
|
作者：
Kopylov, Wassilij [1 ]
Schaller, Gernot [1 ]
Brandes, Tobias [1 ]
机构：
[1] Tech Univ Berlin, Inst Theoret Phys, D-10623 Berlin, Germany
来源：
PHYSICAL REVIEW E | 2017年 / 96卷 / 01期
关键词：
QUANTUM PHASE-TRANSITIONS; BODY APPROXIMATION METHODS; SOLVABLE MODEL; COSMOLOGICAL EXPERIMENTS; COHERENT STATES; SYSTEMS; VALIDITY;
D O I：
10.1103/PhysRevE.96.012153
中图分类号：
O35 [流体力学]; O53 [等离子体物理学];
学科分类号：
070204 ; 080103 ; 080704 ;
摘要：
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.
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页数：8
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