TL;DR
This paper explores self-accelerating matter waves in Bose-Einstein condensates within a time-dependent harmonic potential, revealing spontaneous symmetry breaking and connecting to recent experimental realizations of Airy beams.
Contribution
It introduces self-accelerating solutions for Bose-Einstein condensates and analyzes their symmetry properties, extending the concept of Airy beams to matter waves.
Findings
Self-accelerating waves exist in Bose-Einstein condensates.
Parity and time reversal symmetries are spontaneously broken.
Connections to experimental Airy beam realizations.
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.
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