Bose-Einstein condensation of two interacting particles
arXiv:cond-mat/0006359 · doi:10.1088/0953-4075/34/23/304
Abstract
We investigate the notion of Bose-Einstein condensation of interacting particles. The definition of the condensate is based on the existence of the dominant eigenvalue of the single-particle density matrix. The statistical properties and the characteristic temperature are computed exactly in the soluble models of two interacting atoms.
14 pages, 10 figures, final version
References in corpus (15)
- Theory of Bose-Einstein condensation in trapped gases
- Stable 85Rb Bose-Einstein Condensates with Widely Tunable Interactions
- Bose-Einstein Condensation of Atomic Hydrogen
- Controlled Collapse of a Bose-Einstein Condensate
- Bose-Einstein Condensation of Metastable Helium
- Do attractive bosons condense?
- Ground state properties of a one-dimensional condensate of hard core bosons in a harmonic trap
- Condensate fluctuations of a trapped, ideal Bose gas
- Transition Temperature of the homogeneous, weakly interacting Bose gas
- Transition Temperature of a Uniform Imperfect Bose Gas
- The density dependence of the transition temperature in a homogenous Bose flui
- Dependence of the BEC transition temperature on interaction strength: a perturbative analysis
- The center-of-mass response of confined systems
- Confined Harmonically Interacting Spin-Polarized Fermions in a Magnetic Field: Thermodynamics
- Exact versus mean-field description of the Bose-Einstein condensate: a model study
Cited by in corpus (18)
- General variational many-body theory with complete self-consistency for trapped bosonic systems
- Soluble Models of Strongly Interacting Ultracold Gas Mixtures in Tight Waveguides
- Pathway from condensation via fragmentation to fermionization of cold bosonic systems
- Ultracold Few-Boson Systems in a Double-Well Trap
- Evolution from a Bose-Einstein condensate to a Tonks-Girardeau gas: An exact diagonalization study
- Composite fermionization of 1-D Bose-Bose mixtures
- Correlations in Ultracold Trapped Few-Boson Systems: Transition from Condensation to Fermionization
- Effective interactions, Fermi-Bose duality, and ground states of ultracold atomic vapors in tight de Broglie waveguides
- Wave functions of the super Tonks-Girardeau gas and the trapped 1D hard sphere Bose gas
- Excitations of attractive 1-D bosons: Binding vs. fermionization
- Dynamics of entanglement between two trapped atoms
- Quantum dynamics of two trapped bosons following infinite interaction quenches
- Infinite Barriers and Symmetries for a Few Trapped Particles in One Dimension
- Quench Dynamics of Two One-Dimensional Harmonically Trapped Bosons Bridging Attraction and Repulsion
- Entanglement Generation in the Scattering of One-Dimensional Particles
- Occupation numbers of the harmonically trapped few-boson system
- Temperature-dependence of small harmonically trapped atom systems with Bose, Fermi and Boltzmann statistics
- Analytical solutions for two heteronuclear atoms in a ring trap