Time delayed control of excited state quantum phase transitions in the Lipkin-Meshkov-Glick model
Wassilij Kopylov, Tobias Brandes
TL;DR
This paper explores how delayed feedback control can enhance the detection of excited state quantum phase transitions in the Lipkin-Meshkov-Glick model, especially under dissipative conditions.
Contribution
It introduces a method using time-delayed control to recover ESQPT signatures in the presence of dissipation in the LMG model.
Findings
Delayed feedback restores ESQPT signals in observables.
ESQPT signatures are visible in the complex spectrum.
Control technique mitigates dissipation effects.
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.
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