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We present the general lattice model for a multi-component atomic Bose-Einstein system in the optical lattice. Using the model, we analytically study the quantum phase transition between Mott insulator and superfluid. A mean-field theory is…

Soft Condensed Matter · Physics 2009-11-07 Guang-Hong Chen , Yong-Shi Wu

We examine particle entanglement, characterized by pseudo-spin squeezing, of spin-1 bosonic atoms with coupled ground states in a one-dimensional optical lattice. Both the superfluid and Mott-insulator phases are investigated separately for…

Quantum Gases · Physics 2016-08-14 B. Öztop , M. Ö. Oktel , Ö. E. Müstecaplıoğlu , L. You

A dense Bose gas with hard-core interaction is considered in an optical lattice. We study the phase diagram in terms of a special mean-field theory that describes a Bose-Einstein condensate and a Mott insulator with a single particle per…

Statistical Mechanics · Physics 2009-11-13 O. Fialko , Ch. Moseley , K. Ziegler

We employ ultracold atoms with controllable disorder and interaction to study the paradigmatic problem of disordered bosons in the full disorder-interaction plane. Combining measurements of coherence, transport and excitation spectra, we…

We employ a semiclassical picture to study dynamics in a bosonic Josephson junction with various initial conditions. Phase-diffusion of coherent preparations in the Josephson regime is shown to depend on the initial relative phase between…

We analyse the ground-state properties of three-body constrained bosons in a one dimensional optical lattice with staggered hoppings analogous to the double well optical lattice. By considering attractive and repulsive on-site interactions…

Quantum Gases · Physics 2019-07-31 Suman Mondal , Sebastian Greschner , Tapan Mishra

We investigate harmonically-trapped, laser-pumped bosons with infinite-range interactions induced by a dissipative high-finesse red-detuned optical cavity with numerical and analytical methods. We obtain multiple cavity and atomic…

Quantum Gases · Physics 2019-07-12 Rui Lin , Luca Papariello , Paolo Molignini , R. Chitra , Axel U. J. Lode

We study the dynamics of the many-body state of ultracold bosons trapped in a bistable optical lattice in an optomechanical resonator controlled by a time-dependent input field. We focus on the dynamics of the many-body system following…

Quantum Physics · Physics 2011-04-29 K. Zhang , W. Chen , P. Meystre

Multi-layered Josephson junctions are modeled in the context of a field theory, and dynamics of Josephson vortices trapped inside insulators are studied. Starting from a theory consisting of complex and real scalar fields coupled to a U(1)…

Superconductivity · Physics 2016-10-05 Toshiaki Fujimori , Hideaki Iida , Muneto Nitta

We study (by an exact numerical scheme) the single-particle density matrix of $\sim 10^3$ ultracold atoms in an optical lattice with a parabolic confining potential. Our simulation is directly relevant to the interpretation and further…

Condensed Matter · Physics 2009-11-07 V. A. Kashurnikov , N. V. Prokof'ev , B. V. Svistunov

We study one-dimensional (1D) lattice anyons with extended Hubbard interactions at unit filling using bosonization and numerical simulations. The behavior can be continuously tuned from Bosonic to Fermionic behavior by adjusting the…

Strongly Correlated Electrons · Physics 2025-07-18 Martin Bonkhoff , Kevin Jägering , Shijie Hu , Axel Pelster , Sebastian Eggert , Imke Schneider

We present a canonical mapping transforming physical boson operators into quadratic products of cluster composite bosons that preserves matrix elements of operators when a physical constraint is enforced. We map the 2D lattice Bose-Hubbard…

Quantum Gases · Physics 2015-06-15 Daniel Huerga , Jorge Dukelsky , Gustavo E. Scuseria

We study the superfluid and insulating phases of interacting bosons on the triangular lattice with an inverted dispersion, corresponding to frustrated hopping between sites. The resulting single-particle dispersion has multiple minima at…

Quantum Gases · Physics 2014-05-07 Michael P. Zaletel , S. A. Parameswaran , Andreas Rüegg , Ehud Altman

Experiments on ultracold atomic gases have begun to explore lattice effects and thermal fluctuations for two-component bosons with spin-orbit coupling (SOC). Motivated by this, we study a $tJ$ model of strongly correlated lattice bosons,…

Quantum Gases · Physics 2014-12-30 Ciarán Hickey , Arun Paramekanti

The energy spectrum, spectral density and phase diagrams have been obtained for two-sublattice hard-core boson model in frames of random phase approximation approach. Reconstruction of boson spectrum at the change of temperature, chemical…

Quantum Gases · Physics 2013-07-09 I. V. Stasyuk , O. Vorobyov

The Mott insulator-superfluid transition for ultracold bosonic atoms in an optical lattice has been extensively studied in the framework of the Bose-Hubbard model with two-body on-site interactions. In this paper, we analyze the additional…

Quantum Gases · Physics 2012-05-29 Manpreet Singh , Arya Dhar , Tapan Mishra , R. V. Pai , B. P. Das

Recent experimental advances in realizing degenerate quantum dipolar gases in optical lattices and the flexibility of experimental setups in attaining various geometries offer the opportunity to explore exotic quantum many-body phases…

We study the competition between a random potential and a commensurate potential on interacting fermionic and bosonic systems using a variety of methods. We focus on one dimensional interacting fermionic systems but higher dimensional…

Strongly Correlated Electrons · Physics 2009-11-07 T. Giamarchi , P. Le Doussal , E. Orignac

We study a model of interacting bosons that occupy the first excited p-band states of a two-dimensional optical lattice. In contrast to the much studied single band Bose-Hubbard Hamiltonian, this more complex model allows for non-trivial…

Quantum Gases · Physics 2014-11-21 F. Hébert , Zi Cai , V. G. Rousseau , Congjun Wu , R. T. Scalettar , G. G. Batrouni

If two species of ultracold atoms are loaded in a sufficiently tight optical lattice at a commensurate total filling factor, the net number-of-atoms transport is suppressed by the Mott-Hubbard localization. Nonetheless, the counterflow…

Soft Condensed Matter · Physics 2015-03-10 A. B. Kuklov , B. V. Svistunov