2016
DOI: 10.3390/e18090319
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Quantum Hysteresis in Coupled Light–Matter Systems

Abstract: Abstract:We investigate the non-equilibrium quantum dynamics of a canonical light-matter system-namely, the Dicke model-when the light-matter interaction is ramped up and down through a cycle across the quantum phase transition. Our calculations reveal a rich set of dynamical behaviors determined by the cycle times, ranging from the slow, near adiabatic regime through to the fast, sudden quench regime. As the cycle time decreases, we uncover a crossover from an oscillatory exchange of quantum information betwe… Show more

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Cited by 11 publications
(8 citation statements)
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“…Our findings have further implications. First, this discrete staircase of LA-zeros not only appears for the QRM, but it also shows signs of existing for multi-qubit systems (Dicke model) and with more complicated time varying couplings [35]. Although a comprehensive treatment of the scaling of such complex systems remains to be explored, our results open up a path to tailoring zeros of the LA using a time-dependent interaction and by increasing the number of qubits.…”
mentioning
confidence: 67%
“…Our findings have further implications. First, this discrete staircase of LA-zeros not only appears for the QRM, but it also shows signs of existing for multi-qubit systems (Dicke model) and with more complicated time varying couplings [35]. Although a comprehensive treatment of the scaling of such complex systems remains to be explored, our results open up a path to tailoring zeros of the LA using a time-dependent interaction and by increasing the number of qubits.…”
mentioning
confidence: 67%
“…Though we take λ(t) to be a piecewise linear updown ramping of duration υ −1 (i.e. the inverse ramping velocity), similar results occur for other up-down forms since the dense entanglement regime at intermediate υ is generated by path interference as a result of two crossings of the quantum critical point λ c = 0.5 [54,55,60]. In particular, the shaded forms in Fig.…”
mentioning
confidence: 74%
“…This range varies from the slow near adiabatic regime, through the intermediate regime, to the fast sudden quench regime. In previous papers, we showed how the values of the velocity for which the change of regime is manifested depend on system size [20,[34][35][36]. Here, on the other hand, we take a fixed size of the qubit subsystem, namely N=81, for all the numerical calculations.…”
Section: Resultsmentioning
confidence: 99%