Fragmentation of a trapped bosonic mixture

Abstract

Fragmentation of bosons and pairs in a trapped imbalanced bosonic mixture is investigated analytically using an exactly solvable model, the generic harmonic-interaction model for mixtures. Closed-form expressions for the eigenvalues and eigenfunctions of the reduced one-particle and two-particle density matrices as a function of all parameters, the masses, numbers of bosons, and the intraspecies and interspecies interactions, are obtained and analyzed. As an application, we consider a system made of $N_1=100$ non-interacting species $1$ bosons embedded in a bath made of $N_2=10^6$ non-interacting species $2$ bosons, and show how fragmentation of the system's bosons and pairs emerges from the system--bath interaction only. Interestingly, the lighter the bosons comprising the bath are the stronger is the system's fragmentation. Further applications are briefly discussed.

arXiv comment12 pages, 2 figures

References in corpus (38)

• Phase separation of Bose-Einstein condensates
• Fragmentation of Bose-Einstein Condensates
• Spatial fragmentation of a Bose-Einstein condensate in a double-well potential
• Reduced density matrices and coherence of trapped interacting bosons
• One-dimensional mixtures of several ultracold atoms: a review
• Phase separation and pattern formation in a binary Bose-Einstein condensate
• A classification of the ground states and topological defects in a rotating two-component Bose-Einstein condensate
• The multiconfigurational time-dependent Hartree method for bosons with internal degrees of freedom: Theory and composite fragmentation of multi-component Bose-Einstein condensates
• Fragmented many-body ground states for scalar bosons in a single trap
• Correlation Effects in the Quench-Induced Phase Separation Dynamics of a Two-Species Ultracold Quantum Gas
• Controlling phase separation of a two-component Bose-Einstein condensate by confinement
• Condensate fragmentation as a sensitive measure of the quantum many-body behavior of bosons with long-range interactions
• Phase Separation and Dynamics of Two-component Bose-Einstein Condensates
• Ground state fragmentation of repulsive BEC in double-trap potentials
• Phase separation in a spin-orbit coupled Bose-Einstein condensate
• Condensate Fragmentation in a New Exactly Solvable Model for Confined Bosons
• Analytic Harmonic Approach to the N-body problem
• Quantum gas mixtures in different correlation regimes
• Ground State Geometry of Binary Condensates in Axisymmetric Traps
• Natural Orbitals and Occupation Numbers for Harmonium: Fermions vs. Bosons
• Interacting trapped bosons yield fragmented condensate states in low dimensions
• Entanglement in N-harmonium: bosons and fermions
• Entanglement and the Born-Oppenheimer approximation in an exactly solvable quantum many-body system
• The mixing-demixing phase diagram of ultracold heteronuclear mixtures in a ring trimer
• Pathway toward the formation of supermixed states in ultracold boson mixtures loaded in ring lattices
• N-conserving Bogoliubov vacuum of a two component Bose-Einstein condensate: Density fluctuations close to a phase separation condition
• Overlapping Bose-Einstein Condensates of ${}^{23}$Na and ${}^{133}$Cs
• Number-parity effect for confined fermions in one dimension
• Analytic solutions of topologically disjoint systems
• Mixtures of Bose gases confined in concentrically coupled annular traps
• Symmetry breaking in binary Bose-Einstein condensates in the presence of an inhomogeneous artificial gauge field
• Bogoliubov depletion of the fragmented condensate in the bosonic flux ladder
• Goldstone-mode Instability leading to Fragmentation in a Spinor Bose-Einstein Condensate
• Solvable Model of a Generic Trapped Mixture of Interacting Bosons: Reduced Density Matrices and Proof of Bose-Einstein Condensation
• Condensate depletion in two-species Bose gases: A variational Quantum Monte Carlo study
• 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
• On a fragmented condensate in a uniform Bose system
• Moving Bose mixtures with dipole-dipole interactions

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