1,469 research outputs found
Kibble-Zurek dynamics in an array of coupled binary Bose condensates
Universal dynamics of spontaneous symmetry breaking is central to
understanding the universal behavior of spontaneous defect formation in various
system from the early universe, condensed-matter systems to ultracold atomic
systems. We explore the universal real-time dynamics in an array of coupled
binary atomic Bose-Einstein condensates in optical lattices, which undergo a
spontaneous symmetry breaking from the symmetric Rabi oscillation to the
broken-symmetry self-trapping. In addition to Goldstone modes, there exist
gapped Higgs mode whose excitation gap vanishes at the critical point. In the
slow passage through the critical point, we analytically find that the
symmetry-breaking dynamics obeys the Kibble-Zurek mechanism. From the scalings
of bifurcation delay and domain formation, we numerically extract two
Kibble-Zurek exponents and , which
give the static correlation-length critical exponent and the dynamic
critical exponent . Our approach provides an efficient way to simultaneous
determination of the critical exponents and for a continuous phase
transition.Comment: 6 pages, 4 figures, accepted for publication in EPL (Europhysics
Letters
Bis[μ-2-(2-naphthÂoxy)acetato]bisÂ{aqua[2-(2-naphthÂoxy)acetato]zinc(II)}
The title binuclear ZnII compound, [Zn2(C12H9O3)4(H2O)2], is centrosymmetric. Each Zn atom is coordinated by two bridging 2-naphthoxyacetate anions, one terminal 2-naphthÂoxyÂacetate anion and one water molÂecule in a distorted ZnO4 tetraÂhedral geometry. The naphthalene system of the bridging ligand is nearly perpendicular to the naphthalene of the terminal ligand, with a dihedral angle of 78.26 (6)°. Within the binuclear molÂecule the Zn⋯Zn separation is 3.815 (5) Å. In the crystal structure, interÂmolecular O—H⋯O hydrogen bonding between the water molÂecule and carboxylÂate groups helps to stabilize the crystal structure
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