Excited-state quantum phase transitions and periodic dynamics
Quantum Gases
2015-03-05 v2 Quantum Physics
Abstract
We investigate signatures of the excited-state quantum phase transition in the periodic dynamics of the Lipkin-Meshkov-Glick model and the Tavis-Cummings model. In the thermodynamic limit, expectation values of observables in eigenstates of the system can be calculated using classical trajectories. Motivated by this, we suggest a method based on the time evolution of the finite-size system, to find singularities in observables, which arise due to the excited-state quantum phase transition.
Cite
@article{arxiv.1405.3514,
title = {Excited-state quantum phase transitions and periodic dynamics},
author = {G. Engelhardt and V. M. Bastidas and W. Kopylov and T. Brandes},
journal= {arXiv preprint arXiv:1405.3514},
year = {2015}
}
Comments
9 pages, 3 figures, comments are welcome