Evolution of Coherent States in a Dispersionless Fibre with Saturable Nonlinearity and the Generation of Macroscopic Quantum-superposition States

Lyra, M. L.; Gouveia‐Neto, A. S.

doi:10.1080/09500349414551311

Cited by 5 publications

(4 citation statements)

References 42 publications

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“…However, when very intense waves propagate in matter, it recovers its linear behavior but with a distinct group velocity as compared to that of a low-intensity wave [21]. This phenomenon is known as the saturation of the nonlinearity and is associated with the emergence of several non-trivial optical phenomena [21][22][23][24][25][26][27][28][29][30][31][32]. Within the context of non-reciprocal transmission through nonlinear asymmetric layers, it has been shown that bistability can be enhanced by saturation of a cubic nonlinearity, thus favoring the nonreciprocal diode-like transmission.…”

Section: Introductionmentioning

confidence: 99%

Enhanced nonreciprocal transmission through a saturable cubic-quintic nonlinear dimer defect

Wasay

Lyra

Ham

2019

Sci Rep

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The transmission properties through a saturable cubic-quintic nonlinear defect attached to lateral linear chains is investigated. Particular attention is directed to the possible non-reciprocal diode-like transmission when the parity-symmetry of the defect is broken. Distinct cases of parity breaking are considered including asymmetric linear and nonlinear responses. The spectrum of the transmission coefficient is analytically computed and the influence of the degree of saturation analyzed in detail. The transmission of Gaussian wave-packets is also numerically investigated. Our results unveil that spectral regions with high transmission and enhanced diode-like operation can be achieved.

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Section: Introductionmentioning

confidence: 99%

Enhanced nonreciprocal transmission through a saturable cubic-quintic nonlinear dimer defect

Wasay

Lyra

Ham

2019

Sci Rep

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“…For example, it may lead to the formation of two stable soliton pulses with the same time duration [25]. Saturation of the nonlinear Kerr response has also been shown to modify the modulational instability of continuous waves [26][27][28][29] and the propagation of coherent states in optical fibers [30]. The existence and stability of defect solitons in systems with saturable nonlinearity and parity-time symmetry has been recently demonstrated [31,32].…”

Section: Introductionmentioning

confidence: 99%

Nonreciprocal transmission through a saturable nonlinear asymmetric dimer

2014

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We investigate the nonreciprocal diodelike behavior of a dimer with an asymmetric on-site potential and a saturable nonlinearity. The dimer is coupled to linear side chains. The spectra of transmission and the rectifying factor are analytically obtained using a backward iteration of the set of discrete nonlinear Schrödinger equations used to model the wave propagation through the nonlinear dimer. We show that the windows of bistable behavior leading to a pronounced nonreciprocal diodelike transmission become wider and displaced to higher input field intensities as the saturation coefficient increases. Further, saturation of the nonlinear response has opposite impacts on the rectifying action over short- and long-wavelength input signals within the second bistability window. In the first window, the rectifying action is not compromised by the saturation, thus showing that a weak contribution of high-order susceptibilities to the nonlinear response can improve the efficiency of the nonreciprocal transmission. The rectifying action of a dimer with an asymmetric nonlinearity is also discussed.

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“…The problem of the generation of optical superposition states have drawn recently a lot of attention [58,[67][68][69][70][71][72][73][74][75]43,[76][77][78]. It was shown that the Schrödinger-cat states can be produced in various nonlinear processes [58,[67][68][69][70][71][72], in field-atom interactions [73][74][75]43,76,77], and in quantum nondemolition measurements [78].…”

Section: Squeezing and Displacement Of Coherent Superposition Statesmentioning

confidence: 99%

Two-Photon Algebra Eigenstates: A Unified Approach to Squeezing

Brif

1996

Annals of Physics

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We use the concept of the algebra eigenstates that provides a unified description of the generalized coherent states (belonging to different sets) and of the intelligent states associated with a dynamical symmetry group. The formalism is applied to the two-photon algebra and the corresponding algebra eigenstates are studied by using the Fock-Bargmann analytic representation. This formalism yields a unified analytic approach to various types of singlemode photon states generated by squeezing and displacing transformations.

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Evolution of Coherent States in a Dispersionless Fibre with Saturable Nonlinearity and the Generation of Macroscopic Quantum-superposition States

Cited by 5 publications

References 42 publications

Enhanced nonreciprocal transmission through a saturable cubic-quintic nonlinear dimer defect

Enhanced nonreciprocal transmission through a saturable cubic-quintic nonlinear dimer defect

Nonreciprocal transmission through a saturable nonlinear asymmetric dimer

Two-Photon Algebra Eigenstates: A Unified Approach to Squeezing

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