On the Exponential Decay of Strongly Interacting Cold Atoms from a Double-Well Potential

TL;DR

This paper investigates the exponential decay behavior of strongly interacting bosonic gases in a double-well potential, revealing how the splitting barrier influences decay rates, especially in systems with odd particle numbers, using exact and resonance methods.

Contribution

It introduces an exactly solvable model for bosons in a double-well potential and analyzes the impact of the splitting barrier on decay rates with novel insights into particle number effects.

Findings

Decay rate depends on the splitting barrier and particle number.

Odd particle systems exhibit the most pronounced barrier effects.

Spatial correlations are well described by the radiating state during decay.

Abstract

In this article, we study an exponential decay for the gas of bosons with strong repulsive delta interactions from a double-well potential. We consider an exactly solvable model comprising an infinite wall and two Dirac delta barriers. We explore its features both within the exact method and with the resonance expansion approach. The study reveals the effect of the splitting barrier on the decay rate in dependence on the number of particles. Among other things, we find that the effect of the splitting barrier on the decay rate is most pronounced in systems with odd particle numbers. During exponential decay, the spatial correlations in an internal region are well captured by the "radiating state".