English

Time delayed control of excited state quantum phase transitions in the Lipkin-Meshkov-Glick model

Quantum Physics 2016-01-06 v1 Quantum Gases Statistical Mechanics

Abstract

We investigate the role of dissipation in excited state quantum phase transitions (ESQPT) within the Lipkin-Meshkov-Glick model. Signatures of the ESQPT are directly visible in the complex spectrum of an effective Hamiltonian, whereas they get smeared out in the time-dependence of system observables. In the latter case, we show how delayed feedback control can be used to restore the visibility of the ESQPT signals.

Keywords

Cite

@article{arxiv.1505.02060,
  title  = {Time delayed control of excited state quantum phase transitions in the Lipkin-Meshkov-Glick model},
  author = {Wassilij Kopylov and Tobias Brandes},
  journal= {arXiv preprint arXiv:1505.02060},
  year   = {2016}
}