Collective Excitations of Bose-Einstein Condensates in a Double-Well Potential

TL;DR

This paper studies the collective excitations of Bose-Einstein condensates in a double-well potential, revealing a crossover from dipole to Josephson plasma modes influenced by anomalous tunneling.

Contribution

It introduces a detailed analysis of collective modes in double-well BECs using Bogoliubov equations, highlighting the role of anomalous tunneling in mode crossover.

Findings

Crossover from dipole to Josephson plasma mode identified

Anomalous tunneling is crucial for the mode transition

Lowest energy excitations exhibit this crossover behavior

Abstract

We investigate collective excitations of Bose-Einstein condensates at absolute zero in a double-well trap. We solve the Bogoliubov equations with a double-well trap, and show that the crossover from the dipole mode to the Josephson plasma mode occurs in the lowest energy excitation. It is found that the anomalous tunneling property of low energy excitations is crucial to the crossover.