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Nonadiabatic dynamics of the excited states for the Lipkin-Meshkov-Glick model
Wassilij Kopylov1, Gernot Schaller1, Tobias Brandes1
1Institut für Theoretische Physik, Technische Universität Berlin, D-10623 Berlin, Germany.
Abstract:
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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