Fragmentation of Bose-Einstein condensates

2006/05/29 by Erich J. Mueller, Tin-Lun Ho, Masahito Ueda +1 · 3 citations
Mathematics · Physics and Astronomy · #Bose–Einstein condensate #Cold Atom Physics and Bose-Einstein Condensates #Computer science #Condensation #Fragmentation (computing) #Geometry #Homogeneous space #Mathematics #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #Statistical physics #Strong Light-Matter Interactions #TRACE (psycholinguistics) #Theoretical physics #cond-mat.mes-hall

paper · pdf · doi:10.1103/physreva.74.033612

16 pages, 1 figure, revtex4

arxiv created 2006/05/29 · openalex publication_date 2006/09/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We present the theory of bosonic systems with multiple condensates, providing a unified description of various model systems that are found in the literature. We discuss how degeneracies, interactions, and symmetries conspire to give rise to this unusual behavior. We show that as degeneracies multiply, so do the varieties of fragmentation, eventually leading to strongly correlated states with no trace of condensation.

Citations

• Direct Nondestructive Imaging of Magnetization in a Spin-1 Bose-Einstein Gas
• Exact Eigenstates and Magnetic Response of Spin-1 and Spin-2 Bose-Einstein Condensates
• Phase coherence and ``fragmented'' Bose condensates
• Transition from a Strongly Interacting 1D Superfluid to a Mott Insulator
• Dynamics of Component Separation in a Binary Mixture of Bose-Einstein Condensates
• Stability of the quantized circulation of an attractive Bose-Einstein condensate in a rotating torus
• Relative phase of two Bose-Einstein condensates
• Do attractive bosons condense?
• Optical Confinement of a Bose-Einstein Condensate
• Continuous configuration-interaction for condensates in a ring
• Adiabatic and non-adiabatic merging of independent Bose condensates
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Exciting Collective Oscillations in a Trapped 1D Gas
• Quantum Hall Fractions in Rotating Bose-Einstein Condensates
• Observation of Interference Between Two Bose Condensates
• Quantum phase transition in one-dimensional Bose-Einstein condensates with attractive interactions
• Quantum Phases of Vortices in Rotating Bose-Einstein Condensates
• Observation of Spinor Dynamics in Optically TrappedRb<mml:mprescripts/><mml:none/>87Bose-Einstein Condensates
• Measurement theory for spinor condensates
• Interference of an Array of Independent Bose-Einstein Condensates
• Effectively attractive Bose-Einstein condensates in a rotating toroidal trap
• Ordering, metastability and phase transitions in two-dimensional systems
• Imaging of spinor gases
• Edge excitations and topological order in a rotating Bose gas
• Vortex Formation in a Stirred Bose-Einstein Condensate

Cited by

• Generic regimes of quantum many-body dynamics of trapped bosonic systems with strong repulsive interactions
• Controlling the velocities and the number of emitted particles in the tunneling to open space dynamics
• Revealing Single-Trap Condensate Fragmentation by Measuring Density-Density Correlations after Time of Flight
• Phase diagram of incoherently driven strongly correlated photonic lattices