2016/09/27 by F. Lingua, F Lingua, G. Mazzarella +3 · 2 citations
Computer Science · Physics and Astronomy · #Boson #Cold Atom Physics and Bose-Einstein Condensates #Coupling (piping) #Delocalized electron #Entropy (arrow of time) #Parameter space #Quantum #Quantum Information and Cryptography #Quantum discord #Quantum entanglement #Quantum many-body systems #cond-mat.other #cond-mat.quant-gas #quant-ph
paper · pdf · doi:10.1088/0953-4075/49/20/205005
published as J. Phys. B: At. Mol. Opt. Phys. 49 205005 (2016) · 20 pages, 9 figures
arxiv created 2016/09/27 · openalex publication_date 2016/10/06 · openalex created_date 2016/10/07 · arxiv updated 2016/11/03 · openalex updated_date 2026/08/05
We investigate the ground-state properties of a two-species condensate of interacting bosons in a double-well potential. Each atomic species is described by a two-space-mode Bose–Hubbard model. The coupling of the two species is controlled by the interspecies interaction W . To analyze the ground state when W is varied in both the repulsive ( ) and the attractive ( ) regime, we apply two different approaches. First we solve the problem numerically (i) to obtain an exact description of the ground-state structure and (ii) to characterize its correlation properties by studying (the appropriate extensions to the present case of) the quantum Fisher information, the coherence visibility and the entanglement entropy as functions of W . Then we approach analytically the description of the low-energy scenario by means of the Bogoliubov scheme. In this framework the ground-state transition from delocalized to localized species (with space separation for , and mixing for ) is well reproduced. These predictions are qualitatively corroborated by our numerical results. We show that such a transition features a spectral collapse reflecting the dramatic change of the dynamical algebra of the four-mode model Hamiltonian.