Lasing and counter-lasing phase transitions in a cavity QED system
- URL: http://arxiv.org/abs/2201.12775v1
- Date: Sun, 30 Jan 2022 10:08:55 GMT
- Title: Lasing and counter-lasing phase transitions in a cavity QED system
- Authors: Kevin C. Stitely, Andrus Giraldo, Bernd Krauskopf, Scott Parkins
- Abstract summary: We study the effect of spontaneous emission and incoherent atomic pumping on the nonlinear semiclassical dynamics of the unbalanced Dicke model.
As well as the ubiquitous superradiant behavior the Dicke model is well-known for, the addition of spontaneous emission combined with the presence of strong counter-rotating terms creates laser-like behavior termed counter-lasing.
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- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We study the effect of spontaneous emission and incoherent atomic pumping on
the nonlinear semiclassical dynamics of the unbalanced Dicke model -- a
generalization of the Dicke model that features independent coupling strengths
for the co- and counter-rotating interaction terms. As well as the ubiquitous
superradiant behavior the Dicke model is well-known for, the addition of
spontaneous emission combined with the presence of strong counter-rotating
terms creates laser-like behavior termed counter-lasing. These states appear in
the semiclassical model as stable periodic orbits. We perform a comprehensive
dynamical analysis of the appearance of counter-lasing in the unbalanced Dicke
model subject to strong cavity dissipation, such that the cavity field can be
adiabatically eliminated to yield an effective Lipkin-Meshkov-Glick (LMG)
model. If the coupling strength of the co-rotating interactions is small, then
the counter-lasing phase appears via a Hopf bifurcation of the de-excited
state. We find that if the rate of spontaneous emission is small, this can lead
to resurgent superradiant pulses. However, if the co-rotating coupling is
larger, then the counter-lasing phase must emerge via the steady-state
superradiant phase. Such a transition is the result of the competition of the
coherent and incoherent processes that drive superradiance and counter-lasing,
respectively. We observe a surprisingly complex transition between the two,
associated with the formation of a chaotic attractor over a thin transitional
parameter region.
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