Fluctuation driven topological transition of binary condensates in optical lattices

Abstract

We show the emergence of a third Goldstone mode in binary condensates at the phase-separation in quasi-1D optical lattices. We develop the coupled discrete nonlinear Schrödinger equations (DNLSEs) using Hartree-Fock-Bogoliubov theory with Popov approximation in the Bose-Hubbard model to investigate the mode evolution at zero temperature. In particular, as the system is driven from miscible to immiscible phase. We demonstrate that the position swapping of the species in ${}^{87}$Rb-${}^{85}$Rb system is accompanied by a discontinuity in the excitation spectrum. Our results show that in quasi-1D optical lattices, the presence of the fluctuations dramatically change the geometry of the ground state density profile of TBEC.

arXiv comment10 pages, 8 figures

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• Characteristic temperature for the immiscible-miscible transition of binary condensates in optical lattices
• Segregated quantum phases of dipolar bosonic mixtures in two-dimensional optical lattices
• Phase diagram and multicritical behaviors of mixtures of 3D bosonic gases
• FACt: FORTRAN toolbox for calculating fluctuations in atomic condensates
• Bubbles with attached quantum vortices in trapped binary Bose-Einstein condensates
• Many-body effects in the excitation spectrum of weakly-interacting Bose-Einstein condensates in one-dimensional optical lattices
• Persistent currents in Bose-Bose mixtures after an interspecies interaction quench
• Quantum phases of dipolar bosons in multilayer optical lattice
• Capillary Flotation in a System of Two Immiscible Bose-Einstein Condensates
• Topological Bogoliubov quasiparticles from Bose-Einstein condensate in a flat band system
• Quantum-granularity effect in the formation of supermixed solitons in ring lattices
• Weakly-interacting Bose-Bose mixtures from the functional renormalisation group
• Collective modes in multicomponent condensates with anisotropy
• Magnetisms of spinor alkali and alkaline-earth atoms in optical lattices
• Bifurcations, stability, and mode evolution in segregated condensate mixtures
• Phase separation in a mixture of trapped charged Bose-Einstein condensates
• Many-body effects in the excitations and dynamics of trapped Bose-Einstein condensates
• Anomalous fluctuations of Bose-Einstein condensates in optical lattices
• Quasiparticle spectra of mixtures of dipolar and non-dipolar condensates at zero and finite temperatures
• Collective modes of two-species Bose-Einstein condensates in a Josephson junction barrier
• Direct and reverse precession of a massive vortex in a binary Bose--Einstein condensate