Momentum correlations of a few ultra-cold bosons escaping from an open well

Abstract

The dynamical properties of a one-dimensional system of two and three bosons escaping from an open potential well are studied in terms of the momentum distributions of particles. In the case of a two-boson system, it is shown that the single- and two-particle momentum distributions undergo a specific transition as the interaction strength is tuned through the point where tunneling switches from the pair tunneling to the sequential one. Characteristic features in the momentum spectra can be used to quantitatively determine the participation of specific decay processes. A corresponding analysis is also performed for the three-boson system, showing a scheme for generalizations to higher particle numbers. For completeness, the time-dependent Tan's contact of the system is also examined and its dynamics is found to undergo a similar transition. The results provide insight into the dynamics of decaying few-body systems and offer potential interest for experimental research.

10 pages, 10 figures

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Cited by in corpus (7)

• Capturing non-exponential dynamics in the presence of two decay channels
• Full Counting Statistics of the momentum occupation numbers of the Tonks-Girardeau gas
• Imaginary Time Mean-Field Method for Collective Tunneling
• Two Rydberg-dressed atoms escaping from an open well
• Statistical properties of the momentum occupation numbers of the Tonks-Girardeau gas in a harmonic trap
• Decay properties of unstable Tonks-Girardeau gases from a split trap
• $n$-body Correlation of Tonks-Girardeau Gas