Long lived matter waves Bloch oscillations and dynamical localization by time dependent nonlinearity management
arXiv:0907.3720 · doi:10.1088/0953-4075/42/10/105302
Abstract
We introduce a new method to achieve long lived Bloch oscillations and dynamical localization of matter wave gap solitons in optical lattices. The method is based on time dependent modulations of the nonlinearity which can be experimentally implemented by means of the Feshbach resonance technique. In particular, we show that the width of the wave packet is preserved if time modulations of the nonlinearity are taken proportional to the curvature of the linear band spectrum which for most typical experimental settings are well approximated by harmonic time modulations of proper frequencies.
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Cited by in corpus (9)
- Superfluidity of Bose-Einstein condensates in toroidal traps with nonlinear lattices
- Resonant scattering of matter wave gap-solitons by optical lattice defects
- Stability and decay of Bloch oscillations in presence of time-dependent nonlinearity
- Flat bands and dynamical localization of spin-orbit coupled Bose-Einstein condensates
- Split and overlapped binary solitons in optical lattices
- Dynamic localization in optical and Zeeman lattices in the presence of spin-orbit coupling
- Dynamics and stability of Bose-Einstein solitons in tilted optical lattices
- Chaotic Bloch oscillations in dissipative optical systems driven by a periodic train of coherent pulses
- Bloch oscillations sustained by nonlinearity