2016/04/13 by Georg Engelhardt, G. Engelhardt, Gernot Schaller +3
Computer Science · Physics and Astronomy · #Bose–Einstein condensate #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Current (fluid) #Fano plane #Josephson effect #Observable #Oscillation (cell signaling) #Physics #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Superconductivity #Superposition principle #cond-mat.quant-gas #quant-ph
paper · pdf · doi:10.1103/physreva.94.013608
published as Phys. Rev. A 94, 013608 (2016) · 15 pages including appendix, comments are welcome
arxiv created 2016/04/13 · openalex publication_date 2016/07/14 · arxiv updated 2016/07/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We investigate the coherent dynamics of a noninteracting Bose-Einstein condensate in a system consisting of two bosonic reservoirs coupled via a spatially localized mode. We describe this system by a two-terminal Fano-Anderson model and investigate analytically the time evolution of observables such as the Josephson current. In doing so, we find that the Josephson current sensitively depends on the on-site energy of the localized mode. This facilitates using this setup as a transistor for a Bose-Einstein condensate. We identify two regimes. In one regime, the system exhibits well-behaved long-time dynamics with a slowly oscillating and undamped Josephson current. In a second regime, the Josephson current is a superposition of an extremely weakly damped slow oscillation and an undamped fast oscillation. Our results are confirmed by finite-size simulations.