Effects Beyond Center-of-Mass Separability in a Trapped Bosonic Mixture: Exact Results
arXiv:2112.03098 · doi:10.1088/1742-6596/2249/1/012011
Abstract
An exactly solvable model mimicking demixing of two Bose-Einstein condensates at the many-body level of theory is devised. Various properties are expressed in closed form along the demixing pathway and investigated. The connection between the center-of-mass coordinate and in particular the relative center-of-mass coordinate and demixing is explained. The model is also exactly solvable at the mean-field level of theory, allowing thereby comparison between many-body and mean-field properties. Applications are briefly discussed.
12 pages, typos removed, references added
References in corpus (15)
- Fragmentation of Bose-Einstein Condensates
- Creation and detection of a mesoscopic gas in a non-local quantum superposition
- Controlling phase separation of a two-component Bose-Einstein condensate by confinement
- Phase separation in a spin-orbit coupled Bose-Einstein condensate
- Variance as a sensitive probe of correlations enduring the infinite particle limit
- Phase separations of bosonic mixtures in optical lattices from macroscopic to microscopic scales
- Interferences in the density of two Bose-Einstein condensates consisting of identical or different atoms
- Entanglement and the Born-Oppenheimer approximation in an exactly solvable quantum many-body system
- Entanglement in N-harmonium: bosons and fermions
- The mixing-demixing phase diagram of ultracold heteronuclear mixtures in a ring trimer
- N-conserving Bogoliubov vacuum of a two component Bose-Einstein condensate: Density fluctuations close to a phase separation condition
- Analytic solutions of topologically disjoint systems
- Overlap of exact and Gross-Pitaevskii wavefunctions in Bose-Einstein condensates of dilute gases
- Analysis of a trapped Bose-Einstein condensate in terms of position, momentum, and angular-momentum variance
- Solvable model of a generic driven mixture of trapped Bose-Einstein condensates and properties of a many-boson Floquet state at the limit of an infinite number of particles