Optical lattice influenced geometry of quasi-2D binary condensates and quasiparticle spectra

Abstract

We explore the collective excitations of optical lattices filled with two-species Bose-Einstein condensates (TBECs). We use a set of coupled discrete nonlinear Schrödinger equations to describe the system, and employ Hartree-Fock-Bogoliubov (HFB) theory with the Popov approximation to analyze the quasiparticle spectra at zero temperature. The ground state geometry, evolution of quasiparticle energies, structure of quasiparticle amplitudes, and dispersion relations are examined in detail. The trends observed are in stark contrast to the case of TBECs only with a harmonic confining potential. One key observation is the quasiparticle energies are softened as the system is tuned towards phase separation, but harden after phase separation and mode degeneracies are lifted.

arXiv comment9 pages, 11 figures

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• Phase separation can be stronger than chaos
• 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
• 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
• The phase-separation mechanism of a binary mixture in a ring trimer
• Residual entropy and critical behavior of two interacting boson species in a double well
• FACt: FORTRAN toolbox for calculating fluctuations in atomic condensates
• Bubbles with attached quantum vortices in trapped binary Bose-Einstein condensates
• Quantum phases of dipolar bosons in multilayer optical lattice
• Capillary Flotation in a System of Two Immiscible Bose-Einstein Condensates
• Spatial Phase Separation of a Binary Mixture in a Ring Trimer
• Thermometry of bosonic mixtures in Optical Lattices via Demixing
• Quantum-granularity effect in the formation of supermixed solitons in ring lattices
• Entangling lattice-trapped bosons with a free impurity: impact on stationary and dynamical properties
• Collective modes in multicomponent condensates with anisotropy
• Ramifications of topology and thermal fluctuations in quasi-2D condensates
• Bogoliubov spectrum and the dynamic structure factor in a quasi-two-dimensional spin-orbit coupled BEC
• Phase separation in a mixture of trapped charged Bose-Einstein condensates
• Direct and reverse precession of a massive vortex in a binary Bose--Einstein condensate
• Collective modes of two-species Bose-Einstein condensates in a Josephson junction barrier