Nonlinear resonant tunneling of Bose-Einstein condensates in tilted optical lattices
arXiv:1005.3541 · doi:10.1103/PhysRevA.82.063601
Abstract
We study the tunneling decay of a Bose-Einstein condensate out of tilted optical lattices within the mean-field approximation. We introduce a novel method to calculate also excited resonance eigenstates of the Gross-Pitaevskii equation, based on a grid relaxation procedure with complex absorbing potentials. This algorithm works efficiently in a wide range of parameters where established methods fail. It allows us to study the effects of the nonlinearity in detail in the regime of resonant tunneling, where the decay rate is enhanced by resonant coupling to excited unstable states.
arXiv commentRevised and enlarged version, including 1 additional figure
References in corpus (24)
- Direct Observation of Second Order Atom Tunnelling
- Wannier-Stark resonances in optical and semiconductor superlattices
- Theory of nonlinear Landau-Zener tunneling
- Control of Interaction-Induced Dephasing of Bloch Oscillations
- Directed Transport of Atoms in a Hamiltonian Quantum Ratchet
- Asymmetric Landau-Zener tunneling in a periodic potential
- Atomic Landau-Zener tunneling in Fourier-synthesized optical lattices
- Time-resolved measurement of Landau-Zener tunneling in periodic potentials
- Bloch-Zener oscillations
- Nonlinear Resonant Transport of Bose Einstein Condensates
- Fourier synthesis of optical potentials for atomic quantum gases
- Towards a Landau-Zener formula for an interacting Bose-Einstein condensate
- Bloch oscillations of Bose-Einstein condensates: Breakdown and revival
- Manipulation of matter waves using Bloch and Bloch-Zener oscillations
- Nonlinearity induced destruction of resonant tunneling in the Wannier-Stark problem
- Resonant tunneling of Bose-Einstein condensates in optical lattices
- Complex scaling approach to the decay of Bose-Einstein condensates
- Time-resolved measurement of Landau--Zener tunneling in different bases
- An analytical study of resonant transport of Bose-Einstein condensates
- Barrier transmission for the one-dimensional nonlinear Schrödinger equation: resonances and transmission profiles
- Tunnelling rates for the nonlinear Wannier-Stark problem
- Bose-Einstein condensates in accelerated double-periodic optical lattices: Coupling and Crossing of resonances
- Nonexponential decay of Bose-Einstein condensates: a numerical study based on the complex scaling method
- Resonance solutions of the nonlinear Schrödinger equation in an open double-well potential
Cited by in corpus (23)
- Eigenvalue structure of a Bose-Einstein condensate in a PT-symmetric double well
- State Flip at Exceptional Points in Atomic Spectra
- Optical lattices with exceptional points in the continuum
- Bifurcations and exceptional points in dipolar Bose-Einstein condensates
- Fingerprints of exceptional points in the survival probability of resonances in atomic spectra
- Cusp bifurcation in the eigenvalue spectrum of PT-symmetric Bose-Einstein condensates
- Wannier-Stark states in double-periodic lattices I: one-dimensional lattices
- Wave Function Renormalization Effects in Resonantly Enhanced Tunneling
- Calculating resonance positions and widths using the Siegert approximation method
- Exceptional points in bichromatic Wannier-Stark systems
- A study of one-dimensional transport of Bose-Einstein condensates using exterior complex scaling
- Interaction-induced decoherence in non-Hermitian quantum walks of ultracold Bosons
- Dipolar Bose-Einstein condensates in triple-well potentials
- Exact numerical methods for a many-body Wannier Stark system
- PT-symmetric gain and loss in a rotating Bose-Einstein condensate
- -symmetric currents of a Bose-Einstein condensate in a triple well
- Closed system approach to open systems: Tunneling decay of interacting cold bosons in an optical lattice
- Population transfer at exceptional points in spectra of the hydrogen atom in parallel electric and magnetic fields
- Lifetimes of atoms trapped in an optical lattice in proximity of a surface
- Landau-Zener tunneling in 2D periodic structures in the presence of a gauge field I: Tunneling rates
- Bifurcation trees of Stark-Wannier ladders for accelerated BECs in an optical lattice
- Asymmetric many-body loss in a bosonic double well
- Exceptional points in the elliptical three-disk scatterer using semiclassical periodic orbit quantization