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The hydrodynamic equations of superfluids for a weakly interacting Bose gas are generalized to include the effects of periodic optical potentials produced by stationary laser beams. The new equations are characterized by a renormalized…

Condensed Matter · Physics 2009-11-07 M. Kraemer , L. Pitaevskii , S. Stringari

A perturbative way to investigate superfluid properties of various systems under nonuniform potential is presented. We derive the perturbation expansion of the superfluid fraction, which indicates how liquid exhibits nonclassical rotational…

Quantum Gases · Physics 2016-12-21 Shinji Koshida , Yusuke Kato

We study an atomic Bose-Fermi mixture in an optical lattice which is confined using an optical trap. We obtain the Mott ground states of such a system in the limit of deep optical lattice and discuss the effect of quantum fluctuations on…

Strongly Correlated Electrons · Physics 2007-09-17 K. Sengupta , N. Dupuis , P. Majumdar

We use quantum Monte Carlo (QMC) simulations to study the combined effects of harmonic confinement and temperature for bosons in a two dimensional optical lattice. The scale invariant, finite temperature, state diagram is presented for the…

Quantum Gases · Physics 2015-03-18 K. W. Mahmud , E. N. Duchon , Y. Kato , N. Kawashima , R. T. Scalettar , N. Trivedi

The zero temperature phase diagram of binary boson-fermion mixtures in two-colour superlattices is investigated. The eigenvalue problem associated with the Bose-Fermi-Hubbard Hamiltonian is solved using an exact numerical diagonalization…

Statistical Mechanics · Physics 2007-05-23 F. Schmitt , M. Hild , R. Roth

We study the effects of interaction between bosons and fermions in a Bose-Fermi mixtures loaded in an optical lattice. We concentrate on the destruction of a bosonic Mott phase driven by repulsive interaction between bosons and fermions.…

Statistical Mechanics · Physics 2009-11-13 F. Hebert , F. Haudin , L. Pollet , G. G. Batrouni

Using continuous-space quantum Monte Carlo methods we investigate the zero-temperature ferromagnetic behavior of a two-component repulsive Fermi gas under the influence of periodic potentials that describe the effect of a simple-cubic…

Quantum Gases · Physics 2015-06-16 S. Pilati , I. Zintchenko , M. Troyer

Trapped ultra-cold atom experiments provide a unique opportunity to understand Bose-Fermi superfluid mixtures occurring in contrasting areas of physics. At present there are several atom-trap experiments that could potentially explore this…

Quantum Gases · Physics 2011-01-31 B. Ramachandhran , S. G. Bhongale , H. Pu

We study two-species Bose-Einstein condensates in quasi two-dimensional optical lattices of varying geometry and potential depth. Based on the numerically exact Bloch and Wannier functions obtained using the plane-wave expansion method, we…

Quantum Gases · Physics 2012-09-25 Patrick P. Hofer , C. Bruder , Vladimir M. Stojanovic

A grand-canonical system of interacting bosons is considered to study phase transitions of ultracold atoms in an optical lattice. The phase diagram is discussed in terms of a matrix-like order parameter, representing a symmetric phase (Mott…

Statistical Mechanics · Physics 2007-05-23 K. Ziegler

The superfluid transition of a repulsive Bose gas in the presence of a sinusoidal potential which represents a simple-cubic optical lattice is investigate using quantum Monte Carlo simulations. At the average filling of one particle per…

Quantum Gases · Physics 2015-06-18 T. T. Nguyen , A. J. Herrmann , M. Troyer , S. Pilati

In a one-dimensional shallow optical lattice, in the presence of both cubic and quintic nonlinearity, a superfluid density wave is identified in a Bose-Einstein condensate. Interestingly, it ceases to exist when only one of these…

Other Condensed Matter · Physics 2010-04-14 Priyam Das , Manan Vyas , Prasanta K Panigrahi

We present an analytic description of the finite-temperature phase diagram of the Bose-Hubbard model, successfully describing the physics of cold bosonic atoms trapped in optical lattices and superlattices. Based on a standard statistical…

Soft Condensed Matter · Physics 2007-05-23 Pierfrancesco Buonsante , Alessandro Vezzani

We report on a novel structural Superfluid-Mott Insulator (SF-MI) quantum phase transition for an interacting one-dimensional Bose gas within permeable multi-rod lattices, where the rod lengths are varied from zero to the lattice period…

Quantum Gases · Physics 2021-01-12 Omar Abel Rodríguez-López , M. A. Solís , J. Boronat

We investigate the interplay between disorder and interactions in a Bose gas on a lattice in presence of randomly localized impurities. We compare the performance of two theoretical methods, the simple version of multi-orbital Hartree-Fock…

Disordered Systems and Neural Networks · Physics 2012-05-10 Julia Stasińska , Pietro Massignan , Michael Bishop , Jan Wehr , Anna Sanpera , Maciej Lewenstein

We unravel the correlated non-equilibrium dynamics of a mass balanced Bose-Fermi mixture in a one-dimensional optical lattice upon quenching an imposed harmonic trap from strong to weak confinement. Regarding the system's ground state, the…

Quantum Physics · Physics 2018-06-06 P. Siegl , S. I. Mistakidis , P. Schmelcher

We study the equilibrium and non-equilibrium properties of strongly interacting bosons on a lattice in presence of a random bounded disorder potential. Using a Gutzwiller projected variational technique, we study the equilibrium phase…

Quantum Gases · Physics 2015-06-11 Chien-Hung Lin , Rajdeep Sensarma , K. Sengupta , S. Das Sarma

Ultracold atoms in optical lattices undergo a quantum phase transition from a superfluid to a Mott insulator as the lattice potential depth is increased. We describe an approximate theory of interacting bosons in optical lattices which…

Quantum Gases · Physics 2011-09-23 Dagim Tilahun , R. A. Duine , A. H. MacDonald

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 determine the quantum ground-state properties of ultracold bosonic atoms interacting with the mode of a high-finesse resonator. The atoms are confined by an external optical lattice, whose period is incommensurate with the cavity mode…

Quantum Gases · Physics 2013-02-14 Hessam Habibian , André Winter , Simone Paganelli , Heiko Rieger , Giovanna Morigi