Three-dimensional Gross–Pitaevskii solitary waves in optical lattices: Stabilization using the artificial quartic kinetic energy induced by lattice shaking

• Published in: Physics letters. A Vol. 380; no. 1-2; pp. 177 - 181
• Main Authors: Olshanii, M., Choi, S., Dunjko, V., Feiguin, A.E., Perrin, H., Ruhl, J., Aveline, D.
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 08-01-2016; Elsevier
• Subjects: Condensed Matter; Dispersion management; Matter waves; Physics; Quantum Gases; Shaken lattice; Solitary waves; Ultracold atoms; Matter waves; Ultracold atoms; Solitary waves; Dispersion management; Shaken lattice
• ISSN: 0375-9601; 1873-2429
• DOI: 10.1016/j.physleta.2015.09.008

In this Letter, we show that a three-dimensional Bose–Einstein solitary wave can become stable if the dispersion law is changed from quadratic to quartic. We suggest a way to realize the quartic dispersion, using shaken optical lattices. Estimates show that the resulting solitary waves can occupy as little as ∼1/20-th of the Brillouin zone in each of the three directions and contain as many as N=103 atoms, thus representing a fully mobile macroscopic three-dimensional object.
•We propose a way to create mobile, self-supporting, 3D solitary matter waves.•The stability is achieved by changing the dispersion law to quadratic.•The change in the dispersion law is achieved by shaking a lattice.•We outline an experimental scheme for realizing such objects.•Such objects could be very useful for building atomic Sagnac interferometers.