Fragmentation of identical and distinguishable bosons' pairs and natural geminals of a trapped bosonic mixture

• URL: http://arxiv.org/abs/2109.13683v1
• Date: Tue, 28 Sep 2021 12:58:33 GMT
• Title: Fragmentation of identical and distinguishable bosons' pairs and natural geminals of a trapped bosonic mixture
• Authors: Ofir E. Alon
• Abstract summary: fragmentation of pairs in a trapped mixture of Bose-Einstein condensate is investigated. Properties of pairs' fragmentation in the mixture are discussed. The entanglement between the two species is governed by the coupling of their individual center-of-mass coordinates.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In a mixture of two kinds of identical bosons there are two types of pairs, identical bosons' pairs, of either species, and pairs of distinguishable bosons. In the present work fragmentation of pairs in a trapped mixture of Bose-Einstein condensate is investigated using a solvable model, the symmetric harmonic-interaction model for mixtures. The natural geminals for pairs made of identical or distinguishable bosons are explicitly contracted by diagonalizing the intra-species and inter-species reduced two-particle density matrices, respectively. Properties of pairs' fragmentation in the mixture are discussed, the role of the mixture's center-of-mass and relative center-of-mass coordinates is elucidated, and a generalization to higher-order reduced density matrices is made. As a complementary result, the exact Schmidt decomposition of the wavefunction of the bosonic mixture is constructed. The entanglement between the two species is governed by the coupling of their individual center-of-mass coordinates, and it does not vanish at the limit of an infinite number of particles where any finite-order intra-species and inter-species reduced density matrix per particle is 100\% condensed. Implications are briefly discussed.

Related papers

• Correlation Effects in a Trapped Bose-Fermi Mixture: Exact Results [0.0]
  Many-body properties of a fermionic impurity embedded in a Bose-Einstein condensate are analyzed. harmonic-interaction model for Bose-Fermi mixtures is used.
  arXiv  Detail & Related papers  (2023-11-20T21:18:36Z)
• Insulator phases of Bose-Fermi mixtures induced by intraspecies next-neighbor interactions [0.0]
  We study a one-dimensional mixture of two-color fermions and scalar bosons at the hardcore limit. We observed that the non-local interaction could favor or harm the well-known mixed Mott and spin-selective Mott insulators. Our results can inspire or contribute to understanding experiments in cold-atom setups with long-range interactions or recent reports involving quasiparticles in semiconductor heterostructures.
  arXiv  Detail & Related papers  (2023-09-11T16:23:40Z)
• Two-fermion lattice Hamiltonian with first and second nearest-neighboring-site interactions [68.8204255655161]
  We study the Schroedinger operators H_lambdamu(K), with K in T, the fixed quasi-momentum of the particles pair. We establish a sharp lower bound for the number of isolated eigenvalues of H_lambdamu(K) in each connected component.
  arXiv  Detail & Related papers  (2023-03-18T20:08:56Z)
• Fragmentation of a trapped bosonic mixture [0.0]
  Fragmentation of bosons and pairs in a trapped imbalanced bosonic mixture is investigated analytically using an exactly solvable model. We show how fragmentation of the system's bosons and pairs emerges from the system--bath interaction only.
  arXiv  Detail & Related papers  (2022-12-10T07:06:25Z)
• Topologically bound states, non-Hermitian skin effect and flat bands, induced by two-particle interaction [91.3755431537592]
  We study theoretically repelling quantum states of two spinless particles in a one-dimensional tight-binding model. We demonstrate, that when the particles are not identical, their interaction drives nontrivial correlated two-particle states.
  arXiv  Detail & Related papers  (2022-11-11T07:34:54Z)
• Effects Beyond Center-of-Mass Separability in a Trapped Bosonic Mixture: Exact Results [0.0]
  An exact solvable model mimicking demixing of two Bose-Einstein condensates at the many-body level of theory is devised. The model is also exactly solvable at the mean-field level of theory, allowing comparison between many-body and mean-field properties.
  arXiv  Detail & Related papers  (2021-12-06T15:08:23Z)
• Lieb-Robinson bounds and growth of correlations in Bose mixtures [77.34726150561087]
  For a mixture of interacting Bose gases initially prepared in a regime of condensation (uncorrelation) it is proved that in the course of the time evolution observables of disjoint sets of particles of each species have correlation functions that remainally small in the total number of particles and display a controlled growth in time.
  arXiv  Detail & Related papers  (2021-10-30T19:23:42Z)
• Quantum correlations, entanglement spectrum and coherence of two-particle reduced density matrix in the Extended Hubbard Model [62.997667081978825]
  We study the ground state properties of the one-dimensional extended Hubbard model at half-filling. In particular, in the superconducting region, we obtain that the entanglement spectrum signals a transition between a dominant singlet (SS) to triplet (TS) pairing ordering in the system.
  arXiv  Detail & Related papers  (2021-10-29T21:02:24Z)
• Quantum Coherent States of Interacting Bose-Fermi Mixtures in One Dimension [68.8204255655161]
  We study two-component atomic gas mixtures in one dimension involving both bosons and fermions. We report a rich variety of coherent ground-state phases that vary with the intrinsic and relative strength of the interactions.
  arXiv  Detail & Related papers  (2021-10-26T17:52:37Z)
• Lower Bounds on the Total Variation Distance Between Mixtures of Two Gaussians [45.392805695921666]
  We exploit a connection between total variation distance and the characteristic function of the mixture. We derive new lower bounds on the total variation distance between pairs of two-component Gaussian mixtures.
  arXiv  Detail & Related papers  (2021-09-02T16:32:16Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.