An escape of vector matter-wave soliton from a parabolic trap
arXiv:1501.02401 · doi:10.1088/1361-6455/aa7432
Abstract
We show that a vector matter-wave soliton in Bose-Einstein condensate loaded into an optical lattice can escape from a trap formed by a parabolic potential, resembling a Hawking emission. The particle-antiparticle pair is emulated by a low-amplitude bright-bright soliton in two-component Bose-Einstein condensate with effective masses of opposite signs. It is shown that the parabolic potential leads to a spatial separation of BEC components. One component with chemical potential in a semi-infinite gap exerts periodical oscillations, while the other BEC component, with negative effective mass, escapes from the trap. The mechanism of atoms transfer from one BEC component to another by spatially periodic linear coupling term is discussed.
17 pages, 4 figures
References in corpus (19)
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Fiber-optical analogue of the event horizon
- Oscillations and interactions of dark and dark-bright solitons in Bose-Einstein condensates
- Measurement of stimulated Hawking emission in an analogue system
- Observation of self-amplifying Hawking radiation in an analog black hole laser
- Hawking radiation from ultrashort laser pulse filaments
- Generation of dark-bright soliton trains in superfluid-superfluid counterflow
- Observation of negative-frequency waves in a water tank: A classical analogue to the Hawking effect?
- Coherent collisional spin dynamics in optical lattices
- Realization of a single Josephson junction for Bose-Einstein condensates
- Long-living Bloch oscillations of matter waves in optical lattices
- Quantum signature of analog Hawking radiation in momentum space
- Resonant Hawking radiation in Bose-Einstein condensates
- Interaction-assisted quantum tunneling of a Bose-Einstein condensate out of a single trapping well
- Superfluid rotation sensor with helical laser trap
- Mixed symmetry localized modes and breathers in binary mixtures of Bose-Einstein condensates in optical lattices
- Reservoir interactions of a vortex in a trapped 3D Bose-Einstein condensate
- Instability of the superfluid flow as black-hole lasing effect
- Slow Sound in a duct, effective transonic flows and analogue black holes