Bogoliubov theory of the laser linewidth and application to polariton condensates

Amelio, Ivan; Carusotto, Iacopo

doi:10.1103/physreva.105.023527

Cited by 6 publications

(2 citation statements)

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“…All other modes have in fact a finite lifetime and do not play any significant role at very long times [15]. On this basis, we refer to the Schawlow-Townes linewidth (that only involves the single condensed mode) as the Bogoliubov linewidth [30]. A geometric explanation of the Henry broadening is that the nonlinearity α makes the the Goldstone and amplitude modes non-orthogonal [30].…”

Section: Discussionmentioning

confidence: 99%

“…As it is discussed in detail in [15,17,19], for spatially extended yet sufficiently small systems, the spatial fluctuations of the phase remain weak, so one can neglect the nonlinear term of the KSE/KPZ dynamics. As a consequence, the Bogoliubov theory of non-equilibrium condensates [29] can be used and a ST scaling holds [30]. Except at very short times when density fluctuations are still important, the equal-space correlators mostly probe the ST physics of the single condensate mode.…”

Section: Scaling Of the Linewidthmentioning

confidence: 99%

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Kardar-Parisi-Zhang universality in the linewidth of non-equilibrium 1D quasi-condensates

Amelio¹,

Chiocchetta²,

Carusotto³

2023

Preprint

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We investigate the finite-size origin of the emission linewidth of a spatially-extended, onedimensional non-equilibrium condensate. We show that the well-known Schawlow-Townes scaling of laser theory, possibly including the Henry broadening factor, only holds for small system sizes, while in larger systems the linewidth displays a novel scaling determined by Kardar-Parisi-Zhang physics. This is shown to lead to an opposite dependence of the linewidth on the optical nonlinearity in the two cases. We then study how sub-universal properties of the phase dynamics such as the higher moments of the phase-phase correlator are affected by the finite size and discuss the relation between the field coherence and the exponential of the phase-phase correlator. We finally identify a configuration with enhanced open boundary conditions, which supports a spatially uniform steady-state and facilitates experimental studies of the linewidth scaling.

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Section: Discussionmentioning

confidence: 99%