Tunable tunneling: An application of stationary states of Bose-Einstein condensates in traps of finite depth
arXiv:cond-mat/0102291 · doi:10.1103/PhysRevA.64.033603
Abstract
The fundamental question of how Bose-Einstein condensates tunnel into a barrier is addressed. The cubic nonlinear Schrodinger equation with a finite square well potential, which models a Bose-Einstein condensate in a quasi-one-dimensional trap of finite depth, is solved for the complete set of localized and partially localized stationary states, which the former evolve into when the nonlinearity is increased. An immediate application of these different solution types is tunable tunneling. Magnetically tunable Feshbach resonances can change the scattering length of certain Bose-condensed atoms, such as Rb, by several orders of magnitude, including the sign, and thereby also change the mean field nonlinearity term of the equation and the tunneling of the wavefunction. We find both linear-type localized solutions and uniquely nonlinear partially localized solutions where the tails of the wavefunction become nonzero at infinity when the nonlinearity increases. The tunneling of the wavefunction into the non-classical regime and thus its localization therefore becomes an external experimentally controllable parameter.
11 pages, 5 figures
Cited by in corpus (20)
- Qualitative and quantitative analysis of stability and instability dynamics of positive lattice solitons
- Effect of a potential step or impurity on the Bose-Einstein condensate mean field
- Bose-Einstein condensates in a one-dimensional double square well: Analytical solutions of the Nonlinear Schrödinger equation and tunneling splittings
- Macroscopic spin tunneling and quantum critical behavior of a condensate in double-well potential
- Density Functional Theory of Bosons in a Trap
- An analytical study of resonant transport of Bose-Einstein condensates
- Deformation of dark solitons in inhomogeneous Bose-Einstein condensates
- Barrier transmission for the one-dimensional nonlinear Schrödinger equation: resonances and transmission profiles
- Nonlinear Krönig-Penney model
- Stationary Nonlinear Schrödinger Equation on Simplest Graphs: Boundary conditions and exact solutions
- Scattering of atoms on a Bose-Einstein condensate
- Analytic theory of narrow lattice solitons
- Nonlinear states and nonlinear tunneling in a potential well
- Nonlinear Scattering of a Bose-Einstein Condensate on a Rectangular Barrier
- Regular and chaotic Bose-Einstein condensate in an accelerated Wannier-Stark lattice
- Above-Barrier Reflection of Cold Atoms by Resonant Laser Light within the Gross-Pitaevskii Approximation
- Quantum Scattering States in a Nonlinear Coherent Medium
- Transmission resonances in above-barrier reflection of ultra-cold atoms by the Rosen-Morse potential
- Finite-well potential in the 3D nonlinear Schroedinger equation: Application to Bose-Einstein condensation
- Pinned fluxons in a Josephson junction with a finite-length inhomogeneity