Cold atoms in real-space optical lattices
arXiv:cond-mat/0612170 · doi:10.1103/PhysRevA.76.013611
Abstract
Cold atoms in optical lattices are described in {\it real space} by multi-orbital mean-field Ansätze. In this work we consider four typical systems: (i) spinless identical bosons, (ii) spinor identical bosons (iii), Bose-Bose mixtures, and (iv) Bose-Fermi mixtures and derive in each case the corresponding multi-orbital mean-field energy-functional and working equations. The notions of {\it dressed} Wannier functions and Wannier spinors are introduced and the equations defining them are presented and discussed. The dressed Wannier functions are the set of orthogonal, translationally-equivalent orbitals which minimizes the energy of the Hamiltonian including boson-boson (particle-particle) interactions. Illustrative examples of dressed Wannier functions are provided for spinless bosonic atoms and mixtures in one-dimensional optical lattices.
27 pages, 4 figures; [version minus figures published]
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Cited by in corpus (11)
- The multiconfigurational time-dependent Hartree method for bosons with internal degrees of freedom: Theory and composite fragmentation of multi-component Bose-Einstein condensates
- Negative quench induced excitation dynamics for ultracold bosons in one-dimensional lattices
- Quench-induced resonant tunneling mechanisms of bosons in an optical lattice with harmonic confinement
- Mode coupling of interaction quenched ultracold few-boson ensembles in periodically driven lattices
- Resonant quantum dynamics of few ultracold bosons in periodically driven finite lattices
- Quantum dynamical response of ultracold few boson ensembles in finite optical lattices to multiple interaction quenches
- Characteristic temperature for the immiscible-miscible transition of binary condensates in optical lattices
- Hypothesis testing with open quantum systems
- Bosonic quantum dynamics following a linear interaction quench in finite optical lattices of unit filling
- Quench Dynamics of Finite Bosonic Ensembles in Optical Lattices with Spatially Modulated Interactions
- Correlation dynamics of dipolar bosons in 1D triple well optical lattice