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

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.

arXiv comment14 pages, 6 figures

References in corpus (8)

• Atomic Scattering in Presence of an External Confinement and a Gas of Impenetrable Bosons
• Direct Observation of Tunneling and Nonlinear Self-Trapping in a single Bosonic Josephson Junction
• Quantum Coherent Atomic Tunneling between Two Trapped Bose-Einstein Condensates
• Bose Einstein Condensate in a Box
• Josephson tunneling between weakly interacting Bose-Einstein condensates
• The Josephson plasmon as a Bogoliubov quasiparticle
• Exact form of the Bogoliubov excitations in one-dimensional nonlinear Schrödinger equation
• Bose Condensate in a Double-Well Trap: Ground State and Elementary Excitations

Cited by in corpus (8)

• Josephson plasma oscillations and the Gross-Pitaevskii equation: Bogoliubov approach vs two-mode model
• Phase Dependence of Phonon Tunneling in Bosonic Superfluid-Insulator-Superfluid Junctions
• Josephson junction dynamics in a two-dimensional ultracold Bose gas
• Non-linear mixing of Bogoliubov modes in a bosonic Josephson junction
• Matter-wave dark solitons in a double-well potential
• Collective excitations and tunneling dynamics in long bosonic Josephson junctions
• Particle-Number-Conserving Bogoliubov Approximation for Bose-Einstein Condensates Using Extended Catalytic States
• Collective modes of two-species Bose-Einstein condensates in a Josephson junction barrier