Physics of nonlinear fiber couplers

Snyder, Allan W.; Mitchell, D. J.; Poladian, L.; Rowland, David R.; Chen, Y.

doi:10.1364/josab.8.002102

Cited by 123 publications

(112 citation statements)

References 23 publications

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“…9, does not exist at A = 0, emerging and expanding with the increase of A. Note that, on the contrary to the situation for the patterns dominated by the fundamental angular harmonic (FHS and FHA) described above, there is no overlap between the stability areas of the symmetric and asymmetric second-harmonic-based modes, 2HS and 2HA, hence (as confirmed by an additional consideration of the numerical results) the symmetry-breaking 2HS → 2HA transition, following the increase of P at A = 0, amounts to a supercritical bifurcation, which features no bistability [15], [2]. Another peculiarity of the symmetric mode based on the second harmonic (2HS) is that it is stable in two disjoint stability areas-the red and yellow ones in Fig.…”

Section: B Existence and Stability Diagrams For The Different Modesmentioning

confidence: 56%

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Nonlinear modes and symmetry breaking in rotating double-well potentials

Li¹,

Pang²,

Malomed³

2012

Phys. Rev. A

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We study modes trapped in a rotating ring carrying the self-focusing (SF) or defocusing (SDF) cubic nonlinearity and double-well potential cos 2 θ, where θ is the angular coordinate. The model, based on the nonlinear Schrödinger (NLS) equation in the rotating reference frame, describes the light propagation in a twisted pipe waveguide, as well as in other optical settings, and also a BoseEinstein condensate (BEC) trapped in a torus and dragged by the rotating potential. In the SF and SDF regimes, five and four trapped modes of different symmetries are found, respectively. The shapes and stability of the modes, and transitions between them are studied in the first rotational Brillouin zone. In the SF regime, two symmetry-breaking transitions are found, of subcritical and supercritical types. In the SDF regime, an antisymmetry-breaking transition occurs. Ground-states are identified in both the SF and SDF systems.

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Section: B Existence and Stability Diagrams For The Different Modesmentioning

confidence: 56%

“…A paradigmatic example of the latter in nonlinear optics is the twin-core nonlinear fiber, which may serve as a basis for the power-controlled optical switching [2]. DWP settings in optics were analyzed theoretically and implemented experimentally in photorefractive crystals [5].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear modes and symmetry breaking in rotating double-well potentials

Li¹,

Pang²,

Malomed³

2012

Phys. Rev. A

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“…They are routinely used for all optical fibre switches in optical communication schemes [4,5,6]. Currently however there is no material with a sufficiently large Kerr nonlinear susceptibility to implement a large mutual phase shift at the level of a single photon, although some progress has been made in this direction [9] From this Hamiltonian we can define the maximally entangling evolution operator…”

Section: Quantum Computing Via Measurementmentioning

confidence: 99%

“…This interaction was long ago suggested as a possible path to implementing quantum gates in optics [2,3]. While the mutual Kerr interaction is likely to become a central component in all-optical communication schemes [4,5,6], the currently available technology cannot produce mutual Kerr interactions sufficiently large to enable single photon operation. Given sufficient motivation however one might expect that this technological challenge could be answered and we consider it worthwhile to investigate simple schemes of all-optical quantum computation that requires such a nonlinearity.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear quantum optical computing via measurement

Hutchinson¹,

Milburn

2004

Journal of Modern Optics

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We show how the measurement induced model of quantum computation proposed by Raussendorf and Briegel [Phys. Rev. Letts. 86, 5188 (2001)] can be adapted to a nonlinear optical interaction. This optical implementation requires a Kerr nonlinearity, a single photon source, a single photon detector and fast feed forward. Although nondeterministic optical quantum information proposals such as that suggested by KLM [Nature 409, 46 (2001)] do not require a Kerr nonlinearity they do require complex reconfigurable optical networks. The proposal in this paper has the benefit of a single static optical layout with fixed device parameters, where the algorithm is defined by the final measurement procedure.

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“…Importantly, a large volume of theoretical studies has accompanied these developments, first in the context of atomic BECs, through investigations related to finite-mode reductions and symmetry-breaking bifurcations [40][41][42][43][44][45][46][47][48][49], quantum effects [50], and nonlinear variants of the double-well potential [51], and more recently in the context of polariton condensates, especially as concerns Josephson oscillations therein [52][53][54][55]. It should be mentioned in passing that similar (spontaneous symmetry breaking) effects have been monitored in the realm of nonlinear optics: in this context, formation of asymmetric states in dual-core fibers [56][57][58][59][60][61][62], self-guided laser beams in Kerr media [63], and optically-induced dual-core waveguiding structures in photorefractive crystals [64] have been reported.…”

mentioning

confidence: 98%

Symmetry-Breaking Effects for Polariton Condensates in Double-Well Potentials

Rodrigues

Cuevas

Carretero-González

et al. 2012

Progress in Optical Science and Photonics

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We study the existence, stability, and dynamics of symmetric and anti-symmetric states of quasi-one-dimensional polariton condensates in doublewell potentials, in the presence of nonresonant pumping and nonlinear damping. Some prototypical features of the system, such as the bifurcation of asymmetric solutions, are similar to the Hamiltonian analog of the double-well system considered in the realm of atomic condensates. Nevertheless, there are also some nontrivial differences including, e.g., the unstable nature of both the parent and the daughter branch emerging in the relevant pitchfork bifurcation for slightly larger values of atom numbers. Another interesting feature that does not appear in the atomic condensate case is that the bifurcation for attractive interactions is slightly sub-critical instead of supercritical. are corroborated by direct numerical simulations examining the dynamics of the system in the unstable regime.

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Physics of nonlinear fiber couplers

Cited by 123 publications

References 23 publications

Nonlinear modes and symmetry breaking in rotating double-well potentials

Nonlinear modes and symmetry breaking in rotating double-well potentials

Nonlinear quantum optical computing via measurement

Symmetry-Breaking Effects for Polariton Condensates in Double-Well Potentials

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