2008/12/17 by V. I. Yukalov, E. P. Yukalova
Chemistry · Mathematics · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Hamiltonian (control theory) #Lattice (music) #Mathematics #Non-equilibrium thermodynamics #Optical lattice #Phase transition #Physics #Quantum mechanics #Spectroscopy and Laser Applications #Statistical physics #Strong Light-Matter Interactions #Thermodynamic equilibrium #cond-mat.mes-hall #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreva.78.063610
published as Phys. Rev. A 78 (2008) 063610-10 · Latex file, 24 pages, 3 figures
openalex publication_date 2008/12/17 · arxiv created 2008/12/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Cold atoms, loaded into an optical lattice with double-well sites, are considered. Pseudospin representation for an effective Hamiltonian is derived. The system in equilibrium displays two phases, ordered and disordered. The second-order phase transition between the phases can be driven either by temperature or by changing the system parameters. Collective pseudospin excitations have a gap disappearing at the phase-transition point. Dynamics of atoms is studied when they are loaded into the lattice in an initially nonequilibrium state. It is shown that the temporal evolution of atoms, contrary to their equilibrium thermodynamics, cannot be described in the mean-field approximation, since it results in a structurally unstable dynamical system, but a more accurate description is necessary taking into account attenuation effects.