Logic gates on stationary dissipative solitons

Kochetov, Bogdan A.; Vasylieva, I. Y.; Butrym, A. Yu.; Tuz, Vladimir R.

doi:10.1103/physreve.99.052214

Cited by 13 publications

(6 citation statements)

References 67 publications

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“…While path integrals frequently elude an exact evaluation, they are often useful to develop approximation schemes, including semiclassical treatments or instanton techniques [13][14][15]. However, the continuum limit of the coherent state path integral is mathematically subtle [16][17][18][19], and is still an area of current research [19][20][21][22][23]. In taking the continuum limit, the differentiability of trajectories is incorrectly assumed [10,13,24]; this has been reported to lead to wrong results for certain simple models [19].…”

Section: Introductionmentioning

confidence: 99%

Disentanglement Approach to Quantum Spin Ground States: Field Theory and Stochastic Simulation

De Nicola

2019

Preprint

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We develop an analytical and numerical framework based on the disentanglement approach to study the ground states of many-body quantum spins systems. In this approach, observables are expressed as functional integrals over scalar fields, where the relevant measure is the Wiener measure. We identify the leading contribution to these integrals, given by the saddle point field configuration. Analytically, this can be used to develop an exact field-theoretical expansion of the functional integrals, performed by means of appropriate Feynman rules. The expansion can be truncated to the desired order to obtain approximate analytical results for ground state expectation values. Numerically, the saddle point configuration can be used to compute physical observables by means of an exact importance sampling scheme. We illustrate our methods by considering the quantum Ising model in 1, 2 and 3 spatial dimensions. Our analytical and numerical results are applicable to a broad class of many-body quantum spin systems, bridging concepts from quantum lattice models, continuum field theory, and classical stochastic processes.

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Section: Introductionmentioning

confidence: 99%

Disentanglement Approach to Quantum Spin Ground States: Field Theory and Stochastic Simulation

De Nicola

2019

Preprint

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“…By exploiting the fascinating shape changing collision scenario of degenerate Manakov solitons, it has been theoretically suggested that the construction of optical logic gates is indeed possible, leading to all optical computing [27]. We also note that logic gates have been implemented using two stationary dissipative solitons of complex Ginzburg-Landau equation [29].…”

Section: Introductionmentioning

confidence: 92%

Nondegenerate Solitons and their Collisions in Manakov System

Ramakrishnan,

Stalin,

Lakshmanan

2020

Preprint

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Recently, we have shown that the Manakov equation can admit a more general class of nondegenerate vector solitons, which can undergo collision without any intensity redistribution in general among the modes, associated with distinct wave numbers, besides the already known energy exchanging solitons corresponding to identical wave numbers. In the present comprehensive paper, we discuss in detail the various special features of the reported nondegenerate vector solitons. To bring out these details, we derive the exact forms of such vector one-, two-and three-soliton solutions through Hirota bilinear method and they are rewritten in more compact forms using Gram determinants. The presence of distinct wave numbers allows the nondegenerate fundamental soliton to admit various profiles such as double-hump, flat-top and single-hump structures. We explain the formation of double-hump structure in the fundamental soliton when the relative velocity of the two modes tends to zero. More critical analysis shows that the nondegenerate fundamental solitons can undergo shape preserving as well as shape altering collisions under appropriate conditions. The shape changing collision occurs between the modes of nondegenerate solitons when the parameters are fixed suitably. Then we observe the coexistence of degenerate and nondegenerate solitons when the wave numbers are restricted appropriately in the obtained two-soliton solution.In such a situation we find the degenerate soliton induces shape changing behavior of nondegenerate soliton during the collision process. By performing suitable asymptotic analysis we analyze the consequences that occur in each of the collision scenario. Finally we point out that the previously known class of energy exchanging vector bright solitons, with identical wave numbers, turns out to be a special case of the newly derived nondegenerate solitons.

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“…Individual addressing opens further interesting possibilities for the optical generation of arbitrary trains of spikes, which has potential applications in different domains, e.g. time-resolved spectroscopy, pump-probe sensing of material properties [43], generation of dense frequency combs [44][45][46][47] and all optical data processing [48,49]. As such, the possibility to generate controllable cluster of LSs using non-local effects has both fundamental and practical interests.…”

Section: Introductionmentioning

confidence: 99%

Phase incoherent photonic molecules in V-shaped mode-locked VECSELs

Hausen,

Meineck,

Javaloyes

et al. 2020

Preprint

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Passively mode-locked vertical external-cavity surface-emitting semiconductor lasers (VECSELs) composed of a gain chip and a semiconductor saturable absorber have been drawing much attention due to their excellent performance figures. In this work we investigate how localized structures and incoherent, non-locally bound, pulse molecules emerge in a long cavity VECSELs using a V-shaped cavity geometry. We show that these states are bistable with the laser off state and that they are individually addressable. Using a model based upon delay differential equations, we demonstrate that pulse clusters result from the cavity geometry and from the non-local coupling with the gain medium; this leads to locally independent, yet globally bound phase, incoherent photonic molecules. Using a multiple time-scale analysis, we derive an amplitude equation for the field that allows us to predict analytically the distance between the elements of a cluster.

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Logic gates on stationary dissipative solitons

Cited by 13 publications

References 67 publications

Disentanglement Approach to Quantum Spin Ground States: Field Theory and Stochastic Simulation

Disentanglement Approach to Quantum Spin Ground States: Field Theory and Stochastic Simulation

Nondegenerate Solitons and their Collisions in Manakov System

Phase incoherent photonic molecules in V-shaped mode-locked VECSELs

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