Coherence and Incoherence in an Optical Comb

Viktorov, Evgeny A.; Habruseva, Tatiana; Hegarty, Stephen P.; Huyet, Guillaume; Kelleher, Bryan

doi:10.1103/physrevlett.112.224101

Cited by 82 publications

(44 citation statements)

References 34 publications

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“…We note that the feedback does not result in any excitation of the other short-cavity modes, suppressed by the DFB grating. We also note that modal groupings leading to pulses with trailing edge plateaux seem to be a common feature of mode-locked QD lasers: they have also been observed in [23] and more recently in [27]. In all cases, there is a dominant mode responsible for the plateaux observed.…”

Section: Methodsmentioning

confidence: 78%

Emergence of resonant mode-locking via delayed feedback in quantum dot semiconductor lasers

Tykalewicz¹,

Goulding²,

Hegarty³

et al. 2016

Opt. Express

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Abstract:With conventional semiconductor lasers undergoing external optical feedback, a chaotic output is typically observed even for moderate levels of the feedback strength. In this paper we examine single mode quantum dot lasers under strong optical feedback conditions and show that an entirely new dynamical regime is found consisting of spontaneous mode-locking via a resonance between the relaxation oscillation frequency and the external cavity repetition rate. Experimental observations are supported by detailed numerical simulations of rate equations appropriate for this laser type. The phenomenon constitutes an entirely new mode-locking mechanism in semiconductor lasers.

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Section: Methodsmentioning

confidence: 78%

Emergence of resonant mode-locking via delayed feedback in quantum dot semiconductor lasers

Tykalewicz¹,

Goulding²,

Hegarty³

et al. 2016

Opt. Express

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“…Recent examples are quantum chimera state [35] or coexistence of coherent and incoherent patterns with respect to the modes of an optical comb [9,36]. The aim of the present study is to provide a bridge between laser networks and chimera patterns, which opens up numerous perspectives for application of chimera states and at the same time provides more insight into their understanding on the conceptual level.…”

mentioning

confidence: 99%

“…We still lack a full understanding of these phenomena, and a very prominent example are chimera states where an ensemble of identical elements self-organizes into spatially separated coexisting domains of coherent (synchronized) and incoherent (desynchronized) dynamics [4,5]. Since their first discovery a decade ago many theoretical investigations of coupled phase oscillators and other simplified models have been carried out [6,7], but their experimental observation in real systems was only reported very recently in optical light modulators [8], optical comb [9], chemical [10], mechanical [11,12], electronic [13], and electrochemical [14,15] oscillator systems. Theoretical studies have found chimeras also in other systems, including higher-dimensional systems [7,16,17], e.g., spiral wave chimeras [18,19], FitzHugh-Nagumo neural systems [20], Stuart-Landau oscillators [21][22][23], where pure amplitude chimeras [24] were found, or quantum interference devices [25].…”

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confidence: 99%

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Amplitude-phase coupling drives chimera states in globally coupled laser networks

et al. 2015

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For a globally coupled network of semiconductor lasers with delayed optical feedback, we demonstrate the existence of chimera states. The domains of coherence and incoherence that are typical for chimera states are found to exist for the amplitude, phase, and inversion of the coupled lasers. These chimera states defy several of the previously established existence criteria. While chimera states in phase oscillators generally demand nonlocal coupling, large system sizes, and specially prepared initial conditions, we find chimera states that are stable for global coupling in a network of only four coupled lasers for random initial conditions. The existence is linked to a regime of multistability between the synchronous steady state and asynchronous periodic solutions. We show that amplitude-phase coupling, a concept common in different fields, is necessary for the formation of the chimera states. Synchronization is a common phenomenon in interacting nonlinear dynamical systems in various fields of research such as physics, chemistry, biology, engineering, or socioeconomic sciences [1][2][3]. While a lot of knowledge has been gained on the origin of complete synchronization, more complex partial synchronization patterns have only recently become the focus of intense research. We still lack a full understanding of these phenomena, and a very prominent example are chimera states where an ensemble of identical elements self-organizes into spatially separated coexisting domains of coherent (synchronized) and incoherent (desynchronized) dynamics [4,5]. Since their first discovery a decade ago many theoretical investigations of coupled phase oscillators and other simplified models have been carried out [6,7] [7,16,17], e.g., spiral wave chimeras [18,19], FitzHugh-Nagumo neural systems [20], Stuart-Landau oscillators [21][22][23], where pure amplitude chimeras [24] were found, or quantum interference devices [25]. In real-world systems chimera states might play a role, e.g., in the unihemispheric sleep of birds and dolphins [26], in neuronal bump states [27,28], in power grids [29], or in social systems [30].Although no universal mechanism for the formation of chimera states has yet been established, three general essential requirements have been found in many studies: (i) a large number of coupled elements, (ii) non-local coupling, and (iii) specific initial conditions. These were primarily derived from the phase oscillator model [7] but also apply to other systems. If these conditions are not met, the chimera states tend to have very short lifetimes. Recent studies, however, suggest that these paradigms can be broken and chimera states are observed also for small system sizes [31], global coupling [15,23,32,33] and random initial conditions [34].Surprisingly, chimera states appear at the interface of independent fields of research putting together different scientific communities. Recent examples are quantum chimera state [35] or coexistence of coherent and incoherent patterns with respect to the modes of an optical com...

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“…Recently, a state with a counterintuitive structure, usually referred to as a "chimera state", was discovered in numerical simulations of nonlocally coupled oscillator arrays 15 . Since then, an intense theoretical [16][17][18][19][20][21][22][23][24][25][26][27][28][29] and experimental [30][31][32][33][34][35][36][37][38][39][40] activity has been initiated. A "chimera state" is characterized by the coexistence of synchronous and asynchronous clusters (subgroups) of oscillators, even though they are coupled symmetrically and they are identical 41,42 .…”

Section: Introductionmentioning

confidence: 99%

Chimeras in SQUID metamaterials

2015

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Regular lattices comprising Superconducting QUantum Interference Devices (SQUIDs) form magnetic metamaterials exhibiting extraordinary properties, including tuneability, dynamic multistability, and negative magnetic permeability. The SQUIDs in a metamaterial interact through non-local, magnetic dipole-dipole forces, that makes it possible for counter-intuitive dynamic states referred to as chimera states to appear; the latter feature clusters of SQUIDs with synchronous dynamics which coexist with clusters exhibiting asynchronous behavior. The spontaneous appearence of chimera states is demonstrated numerically for one-dimensional SQUID metamaterials driven by an alternating magnetic field in which the fluxes threading the SQUID rings are randomly initialized; then, chimera states appear generically for sufficiently strong initial excitations, which exhibit relatively long life-times. The synchronization and metastability levels of the chimera states are discussed in terms of appropriate measures. Given that both one-and two-dimensional SQUID metamaterials have been already fabricated and investigated in the lab, the presence of a chimera state could in principle be detected with presently available experimental set-ups.

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Coherence and Incoherence in an Optical Comb

Cited by 82 publications

References 34 publications

Emergence of resonant mode-locking via delayed feedback in quantum dot semiconductor lasers

Emergence of resonant mode-locking via delayed feedback in quantum dot semiconductor lasers

Amplitude-phase coupling drives chimera states in globally coupled laser networks

Chimeras in SQUID metamaterials

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