Three-dimensional Gross-Pitaevskii solitary waves in optical lattices: stabilization using the artificial quartic kinetic energy induced by lattice shaking. (English) Zbl 1377.82046
Summary: 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 \(\sim 1 / 20\)-th of the Brillouin zone in each of the three directions and contain as many as \(N = 10^3\) atoms, thus representing a fully mobile macroscopic three-dimensional object.
MSC:
| 82D50 | Statistical mechanics of superfluids |
| 74J35 | Solitary waves in solid mechanics |
| 81V80 | Quantum optics |
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