2006/12/26 by Eduardo I. Duzzioni, E. I. Duzzioni, L. Sanz +2
Computer Science · Physics and Astronomy · #Bose–Einstein condensate #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Degrees of freedom (physics and chemistry) #Geometric phase #Hyperfine structure #Josephson effect #Phase (matter) #Physics #Population #Quantum Information and Cryptography #Quantum mechanics #Quantum optics and atomic interactions #Quantum tunnelling #Superconductivity #Trap (plumbing) #quant-ph
paper · pdf · doi:10.1103/physreva.75.032113
1 tex file and 11 figures in pdf format
arxiv created 2006/12/26 · openalex publication_date 2007/03/29 · arxiv updated 2015/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We describe the behavior of two coupled Bose-Einstein condensates in time-dependent (TD) trap potentials and TD Rabi (or tunneling) frequency using the two-mode approach. Starting from Bloch states, we succeed in obtaining analytical solutions for the TD Schr"odinger equation and present a detailed analysis of the relative and geometric phases acquired by the wave function of the condensates, as well as their population imbalance. We also establish a connection between the geometric phases and constants of motion which characterize the dynamic of the system. Besides analyzing the affects of temporality on condensates that differ by hyperfine degrees of freedom (internal Josephson effect), we also do present a brief discussion of a one-species condensate in a double-well potential (external Josephson effect).