Nonexponential decay of Bose-Einstein condensates: a numerical study based on the complex scaling method

Abstract

We study the decay dynamics of an interacting Bose-Einstein condensate in the presence of a metastable trapping potential from which the condensate can escape via tunneling through finite barriers. The time-dependent decay process is reproduced by means of the instantaneous decay rates of the condensate at a given population of the quasi-bound state, which are calculated with the method of complex scaling. Both for the case of a double barrier potential as well as for the case of a tilted periodic potential, we find pronounced deviations from a monoexponential decay behaviour which would generally be expected in the absence of the atom-atom interaction.

7 pages, 2 figures

References in corpus (11)

• Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
• Matter-wave interferometry in a double well on an atom chip
• Nonlinear Self-Trapping of Matter Waves in Periodic Potentials
• Noise Thermometry with Two Weakly Coupled Bose-Einstein Condensates
• Nonlinear Resonant Transport of Bose Einstein Condensates
• Bound and resonance states of the nonlinear Schroedinger equation in simple model systems
• Diffraction of a Bose-Einstein condensate from a Magnetic Lattice on a Micro Chip
• Macroscopic quantum tunnelling of Bose-Einstein condensates in a finite potential well
• Nonlinearity induced destruction of resonant tunneling in the Wannier-Stark problem
• Coherent control of mesoscopic tunneling in a Bose-Einstein condensate
• Tunnelling rates for the nonlinear Wannier-Stark problem

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• Decay and fragmentation in an open Bose-Hubbard chain
• Tunneling decay of two interacting bosons in an asymmetric double-well potential: A spectral approach
• Barrier transmission for the one-dimensional nonlinear Schrödinger equation: resonances and transmission profiles
• Nonlinear resonant tunneling of Bose-Einstein condensates in tilted optical lattices
• Resonance solutions of the nonlinear Schrödinger equation in an open double-well potential
• Macroscopic Quantum Tunneling Escape of Bose-Einstein Condensates
• Controlling the Velocities and Number of Emitted Particles in the Tunneling to Open Space Dynamics
• Decay modes of two repulsively interacting bosons
• Wave Function Renormalization Effects in Resonantly Enhanced Tunneling
• Calculating resonance positions and widths using the Siegert approximation method
• Asymmetric Tunneling of Bose-Einstein Condensates
• Nonlinear tunneling in two-dimensional lattices
• 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
• Escape dynamics of Bose-Hubbard dimer out of a trap
• Macroscopic quantum escape of Bose-Einstein condensates: Analysis of experimentally realizable quasi-one-dimensional traps
• Engineering of Landau-Zener tunneling
• Closed system approach to open systems: Tunneling decay of interacting cold bosons in an optical lattice
• Asymmetric many-body loss in a bosonic double well