Arbitrary interaction quench phenomena in harmonically trapped two-body systems

Abstract

We consider the evolution of two contact-interacting harmonically-trapped particles following an arbitrary quench in interaction strength. We calculate the post-quench particle separation as a function of time and the total post-quench energy. When quenching from any non-zero interaction strength to zero interaction strength we observe that the total energy and particle separation diverge. In particular, the divergent behaviour arises always and exclusively when quenching to the non-interacting regime. The source of the divergence is a power-law tail in the probability distribution of particle separation. This validates and builds upon previous work that found divergent behaviour arises when quenching from the strongly interacting limit to the non-interacting limit in both the two and three-body cases.

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