Self-Accelerating Matter Waves

Abstract

The free particle Schrodinger equation admits a non-trivial self-accelerating Airy wave packet solution. Recently, the Airy beams that freely accelerate in space was experimentally realized in photonics community. Here we present self-accelerating waves for the Bose-Einstein condensate in a time dependent harmonic oscillator potential. We show that parity and time reversal symmetries for self accelerating waves are spontaneously broken.

To appear in Modern Physics Letters B

References in corpus (5)

• Shortcut to adiabaticity for an interacting Bose-Einstein condensate
• Interactions of Airy beams, nonlinear accelerating beams, and induced solitons in Kerr and saturable nonlinear media
• Inverted Oscillator
• Curved plasma channels: Kerr lens and Airy prism
• Non-dispersive wavepacket solutions of the Schrodinger equation

Cited by in corpus (8)

• Interactions of solitons with positive and negative masses: Shuttle motion and co-acceleration
• Tail-free self-accelerating solitons and vortices
• Quantum inverted harmonic potential
• Partially coherent Airy beams: A cross-spectral density approach
• Self-acceleration in non-Hermitian Systems
• Non-spreading matter-wave packets in a ring
• Self-accelerating Parabolic Cylinder Waves in 1-D
• Relativistic motion of an Airy wavepacket in a lattice potential