Overcoming dispersive spreading of quantum wave packets via periodic nonlinear kicking

Arseni Goussev, Phillipp Reck, Florian Moser, Antonio Moro, Cosimo Gorini, Klaus Richter
2018 Physical Review A  
We propose the suppression of dispersive spreading of wave packets governed by the free-space Schr\"odinger 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 Schr\"odinger equation with a constant (time-independent) nonlinearity. Our analytics are strongly supported by full numerical
more » ... 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.
doi:10.1103/physreva.98.013620 fatcat:nnetpbc47newllrfuzpurohw2m