Bistable phase locking in rocked lasers

Staliūnas, Kęstutis; Valcárcel, Germán J. de; Martínez-Quesada, Manuel; Gilliland, S.; González-Segura, A.; Muñoz‐Matutano, Guillermo; Cascante-Vindas, J.; Marqués-Hueso, José; Torres-Peiró, Salvador

doi:10.1016/j.optcom.2006.07.007

Cited by 14 publications

(12 citation statements)

References 11 publications

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“…The latter cannot be measured directly, but its properties can be inferred from the measurements of density-density correlations by using Bragg spectroscopy, noise interferometry, and/or spin-polarization spectroscopy. Finally, let us mention that, recently, an analog of DIO in the time domain (i.e., with time-dependent perturbations) has been proposed and has been termed rocking [34].…”

Section: Discussionmentioning

confidence: 99%

Disorder-induced order in quantumXYchains

et al. 2010

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We observe signatures of disorder-induced order in one-dimensional XY spin chains with an external sitedependent uniaxial random field within the XY plane. We numerically investigate signatures of a quantum phase transition at T = 0, in particular, an upsurge of the magnetization in the direction orthogonal to the external magnetic field and the scaling of the block entropy with the amplitude of this field. Also, we discuss possible realizations of this effect in ultracold atomic experiments.

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Section: Discussionmentioning

confidence: 99%

Disorder-induced order in quantumXYchains

et al. 2010

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“…That modulation must entail sign alternations (i.e., π -phase jumps) of the forcing in time (temporal rocking) or in space (spatial rocking) and must occur on sufficiently fast, nonresonant scales as compared to the typical scales of the oscillations' envelope dynamics. Theoretical [13][14][15][16][17][18][19] and experimental [16,20,21] studies have revealed that this type of forcing converts the initially phase-invariant oscillatory system into a phasebistable pattern forming one, similarly to the classic 2:1 resonant forcing (at twice the system's natural frequency) of a spatially homogeneous Hopf bifurcation [8,9]. The advantage of rocking with respect to the 2:1 resonance is that some systems (optical in particular) are insensitive to the latter, due to their extremely narrow frequency response.…”

Section: Introductionmentioning

confidence: 99%

Phase-bistable patterns and cavity solitons induced by spatially periodic injection into vertical-cavity surface-emitting lasers

et al. 2014

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Spatial rocking is a kind of resonant forcing able to convert a self-oscillatory system into a phase-bistable, pattern forming system, whereby the phase of the spatially averaged oscillation field locks to one of two values differing by π . We propose the spatial rocking in an experimentally relevant system-the vertical-cavity surface-emitting laser (VCSEL)-and demonstrate its feasibility through analytical and numerical tools applied to a VCSEL model. We show phase bistability, spatial patterns, such as roll patterns, domain walls, and phase (dark-ring) solitons, which could be useful for optical information storage and processing purposes.

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“…lasers in which the population inversion is a very slow variable (small parameter b in equation (5.1)), as shown in figures 8 and 9. The presence of relaxation oscillations in class B lasers deeply affects the performance of rocking as already demonstrated in [44]. In this case for rocking to be effective, its modulation frequency ω (see equation (5.2)) must be on the order of the relaxation oscillations frequency ω RO , whose expression is ω RO = 2(r − r 0 )σ b.…”

Section: Pattern Formation Via Rocking In Two-level Lasersmentioning

confidence: 96%

Phase-bistable pattern formation in oscillatory systems via rocking: application to nonlinear optical systems

Valcárcel

Martínez-Quesada

Staliūnas

2014

Phil. Trans. R. Soc. A.

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We present a review, together with new results, of a universal forcing of oscillatory systems, termed ‘rocking’, which leads to the emergence of a phase bistability and to the kind of pattern formation associated with it, characterized by the presence of phase domains, phase spatial solitons and phase-bistable extended patterns. The effects of rocking are thus similar to those observed in the classic 2 : 1 resonance (the parametric resonance) of spatially extended systems of oscillators, which occurs under a spatially uniform, time-periodic forcing at twice the oscillations' frequency. The rocking, however, has a frequency close to that of the oscillations (it is a 1 : 1 resonant forcing) and hence is a good alternative to the parametric forcing when the latter is inefficient (e.g. in optics). The key ingredient is that the rocking amplitude is modulated either in time or in space, such that its sign alternates (exhibits π -phase jumps). We present new results concerning a paradigmatic nonlinear optical system (the two-level laser) and show that phase domains and dark-ring (phase) solitons replace the ubiquitous vortices that characterize the emission of free-running, broad area lasers.

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Bistable phase locking in rocked lasers

Cited by 14 publications

References 11 publications

Disorder-induced order in quantumXYchains

Disorder-induced order in quantumXYchains

Phase-bistable patterns and cavity solitons induced by spatially periodic injection into vertical-cavity surface-emitting lasers

Phase-bistable pattern formation in oscillatory systems via rocking: application to nonlinear optical systems

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