Josephson effect and quantum merging of two Bose superfluids

Abstract

We consider the Josephson effect when two independent Bose superfluids are weakly connected. In the presence of interparticle interaction and based on the calculations of the one-particle density matrix of the whole system, we find that the one-particle density matrix can be factorized which satisfies the general criterion of Bose superfluid proposed by Penrose and Onsager. By introducing an effective order parameter for the whole system, our researches show that there is Josephson effect for two independent Bose superfluids.

9 pages, 4 figures. two typos in Eqs. (19) and (22) are corrected in this version

References in corpus (2)

• Splitting and merging an elongated Bose-Einstein condensate at finite temperature
• Adiabatic and non-adiabatic merging of independent Bose condensates

Cited by in corpus (2)

• Build-up of coherence between initially-independent subsystems: The case of Bose-Einstein condensates
• Density-density correlation and interference mechanism for two initially independent Bose-Einstein condensates