Dynamics of dissipative topological defects in coupled phase oscillators

Mahler, Simon; Pal, Vishwa; Tradonsky, Chene; Chriki, Ronen; Friesem, Asher A.; Davidson, Nir

doi:10.1088/1361-6455/ab3d00

Cited by 6 publications

(4 citation statements)

References 47 publications

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“…To visualize the transient dynamics, the phase pattern in depicted at intermediate time scales. It is worth noting that similar behavior was reported in a reduced model based on Kuramoto phase oscillators, which showed rapid decay of a large number of transient topological defects 20 .…”

Section: Formation Of Topological Defectssupporting

confidence: 78%

Self-organized vortex and antivortex patterns in laser arrays

Honari-Latifpour,

Ding,

Takei

et al. 2021

Preprint

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Recently it is shown that dissipatively coupled laser arrays simulate the classical XY model. We show that phaselocking of laser arrays can give rise to the spontaneous formation of vortex and antivortex phase patterns that are analogous to topological defects of the XY model. These patterns are stable although their formation is less likely in comparison to the ground state lasing mode. In addition, we show that small ratios of photon to gain lifetime destabilizes vortex and antivortex phase patterns. These findings are important for studying topological effects in optics as well as for designing laser array devices.

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Section: Formation Of Topological Defectssupporting

confidence: 78%

Self-organized vortex and antivortex patterns in laser arrays

Honari-Latifpour,

Ding,

Takei

et al. 2021

Preprint

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“…Accordingly, the total brightness of the lasers is high and allows focusing of all the lasers to a sharp spot [3][4][5]. Phase locking of lasers has been incorporated in many investigations, including simulating spin systems [6][7][8], finding the ground-state solution of complex landscapes [6,9], observing dissipative topological defects [10,11] and solving hard computational problems [9,12].Phase locking of laser arrays can be achieved with dissipative coupling that leads to a stable state of minimal loss, which is the phase locked state [6,10,11]. Dissipative coupling involves mode competition whereby modes of different losses compete for the same gain [2,6,9,13].…”

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Improved Phase Locking of Laser Arrays with Nonlinear Coupling

et al. 2020

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An arrangement based on a degenerate cavity laser for forming an array of non-linearly coupled lasers with an intra-cavity saturable absorber is presented. More than 30 lasers were spatially phase locked and temporally Q-switched. The arrangement with nonlinear coupling was found to be 25 times more sensitive to loss differences and converged 5 times faster to the lowest loss phase locked state than with linear coupling, thus providing a unique solution to problems that have several near-degenerate solutions.Phase locking of lasers corresponds to a state where all the lasers have the same frequency and the same constant relative phase, leading to a coherent superposition of their fields [1,2]. Accordingly, the total brightness of the lasers is high and allows focusing of all the lasers to a sharp spot [3][4][5]. Phase locking of lasers has been incorporated in many investigations, including simulating spin systems [6][7][8], finding the ground-state solution of complex landscapes [6,9], observing dissipative topological defects [10,11] and solving hard computational problems [9,12].Phase locking of laser arrays can be achieved with dissipative coupling that leads to a stable state of minimal loss, which is the phase locked state [6,10,11]. Dissipative coupling involves mode competition whereby modes of different losses compete for the same gain [2,6,9,13]. Only modes with the lowest loss survive and are amplified by the gain medium. Accordingly, by inserting amplitude and phase linear optical elements into a laser cavity that minimize the loss of the phase locked states, it is possible to achieve phase locking with mode competition [2][3][4]14].While phase locking with such linear optical elements has yielded many exciting results [4-6, 10, 12-17], it suffers from inherent limitations. It is very sensitive to imperfections, such as positioning errors, mechanical vibrations, thermal effects and other types of aberrations associated with these intra-cavity elements. Moreover, in many cases, especially for spin simulations and computational problem solving [6,9,12], there are two or more states with nearly degenerate minimal loss that cannot be distinguished from each other.In this letter, we resort to nonlinear coupling between lasers by means of a saturable absorber (SA). A SA is a nonlinear optical element that block light until it saturates, where its optical loss decreases sharply [18]. It can thus affect the temporal modes within the laser so as to obtain passive Q-switching and (longitudinal) mode locking, for generating short pulses and high output peak powers [1] and studying nonlinear laser dynamics [1,3,[19][20][21]. We show that a SA can also affect the spatial phase distribution within the laser and phase lock many individual lasers. Specifically, inserting a SA at the far-field plane of a laser array ensures that the phase locked state (that has sharp and strong intensity peaks there [3-6]) corresponds to the minimal loss state, to be selected by optical feedback (mode competition) [17].We show experim...

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