Internal Josephson Effects in Spinor Dipolar Bose--Einstein Condensates

Abstract

We theoretically study the internal Josephson effect, which is driven by spin exchange interactions and magnetic dipole-dipole interactions, in a three-level system for spin-1 Bose--Einstein condensates, obtaining novel spin dynamics. We introduce single spatial mode approximations into the Gross--Pitaevskii equations and derive the Josephson type equations, which are analogous to tunneling currents through three junctions between three superconductors. From an analogy with two interacting nonrigid pendulums, we identify unique varied oscillational modes, called the 0--$\pi$, 0--$running$, $running$--$running$, $2nπ& running$--$2\pi$, $singlenonrigidpendulum$, and $tworigidpendulums$ phase modes. These Josephson modes in the three states are expected to be found in real atomic Bose gas systems.

9 pages, 13 figures

References in corpus (9)

• Bose-Einstein condensation of chromium
• Strong dipolar effects in a quantum ferrofluid
• Observation of dipole-dipole interaction in a degenerate quantum gas
• Coherent spinor dynamics in a spin-1 Bose condensate
• Einstein--de Haas Effect in Dipolar Bose-Einstein Condensates
• Spontaneous spin textures in dipolar spinor condensates
• Spontaneous Circulation in Ground-State Spinor Dipolar Bose-Einstein Condensates
• Ground states of spin-3 Bose-Einstein condensates for conserved magnetization
• Dynamics of Dipolar Spinor Condensates

Cited by in corpus (4)

• A dipolar self-induced bosonic Josephson junction
• High temperature thermodynamics of strongly interacting s-wave and p-wave Fermi gases in a harmonic trap
• Spin squeezing in dipolar spinor condensates
• Geometric phase driven Josephson junction: Possible experimental scheme for the search of spin superfluidity