Anti-Newtonian dynamics and self-induced Bloch oscillations of correlated particles

Longhi, Stefano

doi:10.1088/1367-2630/16/11/113076

Cited by 3 publications

(2 citation statements)

References 64 publications

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“…In this direction, as essential result was the prediction [14] and experimental realization [15] of bound pulses in nonlinear photonic crystals with opposite signs of the dispersion (effective mass) of their two components. Theoretically, a similar result was predicted for a pair of correlated quantum particles coupled by longrange interaction, which perform hopping in a Bose-Hubbard lattice, as one of the particles may also acquire an effective negative mass in the lattice [16].…”

Section: Introductionsupporting

confidence: 64%

Interactions of solitons with positive and negative masses: Shuttle motion and coacceleration

Sakaguchi

Malomed

2019

Phys. Rev. E

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We consider a possibility to realize self-accelerating motion of interacting states with effective positive and negative masses in the form of pairs of solitons in two-component BEC loaded in an optical-lattice (OL) potential. A crucial role is played by the fact that gap solitons may feature a negative dynamical mass, keeping their mobility in the OL. First, the respective system of coupled Gross-Pitaevskii equations (GPE) is reduced to a system of equations for envelopes of the lattice wave functions. Two generic dynamical regimes are revealed by simulations of the reduced system, viz.,shuttle oscillations of pairs of solitons with positive and negative masses, and splitting of the pair. The co-accelerating motion of the interacting solitons, which keeps constant separation between them, occurs at the boundary between the shuttle motion and splitting. The position of the co-acceleration regime in the system's parameter space can be adjusted with the help of an additional gravity potential, which induces its own acceleration, that may offset the relative acceleration of the two solitons, while gravity masses of both solitons remain positive. The numerical findings are accurately reproduced by a variational approximation. Collisions between shuttling or co-accelerating soliton pairs do not alter the character of the dynamical regime. Finally, regimes of the shuttle motion, co-acceleration, and splitting are corroborated by simulations of the original GPE system, with the explicitly present OL potential.PACS numbers:

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Section: Introductionsupporting

confidence: 64%

Interactions of solitons with positive and negative masses: Shuttle motion and coacceleration

Sakaguchi

Malomed

2019

Phys. Rev. E

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“…Indeed, considering a pair of particles with opposite masses, the gravity of the positive mass will attract the negative mass, while the negative one is repelled. If properly arranged, the two particles can exhibit an intriguing self-propulsion effect, also see [88][89][90]. In this respect, a statistical mechanics formulation of a system of particles with both positive and negative masses constitutes by itself a delicate problem.…”

Section: Discussionmentioning

confidence: 99%

Origins of spectral broadening of incoherent waves: Catastrophic process of coherence degradation

Garnier

Rumpf

et al. 2017

Phys. Rev. A

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We revisit the mechanisms underlying the process of spectral broadening of incoherent optical waves propagating in nonlinear media on the basis of nonequilibrium thermodynamic considerations. A simple analysis reveals that a prerequisite for the existence of a significant spectral broadening of the waves is that the linear part of the energy (Hamiltonian) has different contributions of opposite signs. It turns out that, at variance with the expected soliton turbulence scenario, an increase of the amount of 'disorder' (incoherence) in the system does not require the generation of a coherent soliton structure. We illustrate the idea by considering the propagation of two wave-components in an optical fiber with opposite dispersion coefficients. A wave turbulence approach of the problem reveals that the increase of kinetic energy in one component is offset by the negative reduction in the other component, so that the waves exhibit, as a general rule, a virtually unlimited spectral broadening. More precisely, a self-similar solution of the kinetic equations reveals that the spectra of the incoherent waves tend to relax toward a homogeneous distribution in the wake of a front that propagates in frequency space with a decelerating velocity. We discuss this catastrophic process of spectral broadening in the light of different important phenomena, in particular supercontinuum generation, soliton turbulence, wave condensation, and the runaway motion of mechanical systems composed of positive and negative masses.

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Effective breaking of the action-reaction principle using spatial solitons

et al. 2019

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Anti-Newtonian dynamics and self-induced Bloch oscillations of correlated particles

Cited by 3 publications

References 64 publications

Interactions of solitons with positive and negative masses: Shuttle motion and coacceleration

Interactions of solitons with positive and negative masses: Shuttle motion and coacceleration

Origins of spectral broadening of incoherent waves: Catastrophic process of coherence degradation

Effective breaking of the action-reaction principle using spatial solitons

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