Decay modes of two repulsively interacting bosons

Abstract

We study the decay of two repulsively interacting bosons tunneling through a delta potential barrier by direct numerical solution of the time-dependent Schrödinger equation. The solutions are analyzed according to the regions of particle presence: both particles inside the trap (in-in), one particle in and one particle out (in-out), and both particles outside (out-out). It is shown that the in-in probability is dominated by exponential decay, and its decay rate is predicted very well from outgoing boundary conditions. Up to a certain range of interaction strength the decay of in-out probability is dominated by the single particle decay mode. The decay mechanisms are adequately described by simple models.

18 pages, 13 figures

References in corpus (2)

• Few-boson dynamics in double wells: From single-atom to correlated-pair tunneling
• Decay by tunneling of Bosonic and Fermionic Tonks-Girardeau Gases

Cited by in corpus (13)

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• Fidelity of fermionic atom-number states subjected to tunneling decay
• Tunneling decay of two interacting bosons in an asymmetric double-well potential: A spectral approach
• Tunneling dynamics of two interacting one-dimensional particles
• Pair tunneling of two atoms out of a trap
• Tunneling Theory for Tunable Open Quantum Systems of Ultracold Atoms in One-Dimensional Traps
• Controlling the Velocities and Number of Emitted Particles in the Tunneling to Open Space Dynamics
• Nonexponential tunneling decay of a single ultracold atom
• Capturing non-exponential dynamics in the presence of two decay channels
• Dynamics of a few interacting bosons escaping from an open well
• Momentum correlations of a few ultra-cold bosons escaping from an open well
• Two Rydberg-dressed atoms escaping from an open well
• Decay properties of unstable Tonks-Girardeau gases from a split trap