Overcoming dispersive spreading of quantum wave packets via periodic nonlinear kicking
arXiv:1805.09870 · doi:10.1103/PhysRevA.98.013620
Abstract
We propose the suppression of dispersive spreading of wave packets governed by the free-space Schrödinger equation with a periodically pulsed nonlinear term. Using asymptotic analysis, we construct stroboscopically-dispersionless quantum states that are physically reminiscent of, but mathematically different from, the well-known one-soliton solutions of the nonlinear Schrödinger equation with a constant (time-independent) nonlinearity. Our analytics are strongly supported by full numerical simulations. The predicted dispersionless wave packets can move with arbitrary velocity and can be realized in experiments involving ultracold atomic gases with temporally controlled interactions.
7 pages, 3 figures
References in corpus (5)
- Fully three dimensional breather solitons can be created using Feshbach resonance
- Time crystal platform: from quasi-crystal structures in time to systems with exotic interactions
- Designer Spatial Control of Interactions in Ultracold Gases
- The dispersion-managed Ginzburg-Landau equation and its application to femtosecond lasers
- Towards a quantum time mirror for nonrelativistic wave packets
Cited by in corpus (6)
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