Ground State of the Double-Well Condensates Interacting with Trap Oscillations

TL;DR

This paper demonstrates that interactions between trap oscillations and Josephson states in a double-well condensate can create a bound state, which can be detected through changes in the condensate shape, indicating a new equilibrium configuration.

Contribution

It introduces the concept of a bound state formed by trap oscillations and Josephson states in double-well condensates, highlighting a novel equilibrium condition.

Findings

Bound state exists for large initial disbalance.

The bound state minimizes thermodynamic energy.

Josephson states can be detected via condensate shape changes.

Abstract

In the present paper it is shown that the interaction between oscillations of a double-well trappedcondensate and excited Josephson states corresponding to a large enough initial disbalance of the particle number generates their bound state. The bound state can realize an absolute minimum of the thermodynamic energy. The existence of the equilibrium bound state implies that the Josephson states can be detected by observing thechange in the condensate shape.