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A self-consistent field model for a mixture of Bose and Fermi particles is formulated. There is explored in detail the case of a delta-like interaction, for which the thermodynamic functions are obtained, and Bose-Einstein condensation of…

Quantum Gases · Physics 2017-10-31 Yu. M. Poluektov , A. A. Soroka

We analyze interacting one-dimensional bosons in the continuum, subject to a periodic sinusoidal potential of arbitrary depth. Variation of the lattice depth tunes the system from the Bose-Hubbard limit for deep lattices, through the…

Quantum Gases · Physics 2013-06-21 Achilleas Lazarides , Masudul Haque

We discuss effects of particle interaction on Bose condensation in inhomogeneous traps with and without optical lattice. Interaction pushes normal particles away from the condensate droplet, which is located in the center of the trap,…

Other Condensed Matter · Physics 2009-11-13 S. Chatterjee , A. E. Meyerovich

We investigate a cold atomic mixture of spinless bosons and fermions in two-dimensional optical lattices. In the presence of a nested Fermi surface, the bosons may develop a fascinating supersolid behavior characterized by a finite…

Quantum Gases · Physics 2009-09-09 Peter P. Orth , Doron L. Bergman , Karyn Le Hur

We study the scattering of a weak and far-detuned light from a system of ultracold bosons in 1D and 3D optical lattices. We show the connection between angular distributions of the scattered light and statistical properties of a Bose gas in…

Quantum Gases · Physics 2009-10-27 Kazimierz Łakomy , Zbigniew Idziaszek , Marek Trippenbach

We consider an atomic Fermi gas confined in a uniform optical lattice potential, where the atoms can pair into molecules via a magnetic field controlled narrow Feshbach resonance. Thus by adjusting the magnetic field the portion of…

Other Condensed Matter · Physics 2009-07-20 O. Soe Sorensen , N. Nygaard , P. B. Blakie

We study a mixture of $N_{b}$ bosons with point hard-core boson-boson interactions and $N_{f}$ noninteracting spinless fermions with point hard-core boson-fermion interactions in 1D optical lattice with external harmonic confine potential.…

Quantum Gases · Physics 2009-10-01 Xiaoming Cai , Liming Guan , Shu Chen , Yajiang Hao , Yupeng Wang

We consider the effects of temperature upon the superfluid phase of ultracold, weakly interacting bosons in a one dimensional optical lattice. We use a finite temperature treatment of the Bose-Hubbard model based upon the…

Statistical Mechanics · Physics 2009-11-11 B. G. Wild , P. B. Blakie , D. A. W. Hutchinson

Ultra-cold atom experiments offer the unique opportunity to study mixing of different types of superfluid states. Our interest is in superfluid mixtures comprising particles with different statistics- Bose and Fermi. Such scenarios occur…

Quantum Gases · Physics 2015-03-18 B. Ramachandhran , S. G. Bhongale , H. Pu

We study finite-temperature properties of the strongly interacting bosons in three-dimensional lattices by employing the combined Bogoliubov method and the quantum rotor approach. Based on the mapping of the Bose-Hubbard Hamiltonian of…

Quantum Gases · Physics 2015-10-16 T. A. Zaleski , T. K. Kopec

We investigate the effects of the adiabatic loading of optical lattices to the temperature by applying the mean-field approximation to the three-dimensional Bose-Hubbard model at finite temperatures. We compute the lattice-height dependence…

Other Condensed Matter · Physics 2009-11-13 S. Yoshimura , S. Konabe , T. Nikuni

Bose-Fermi mixtures have been recently realized and invesitigated in ultracold atomic experiments. We formulate quantum Monte Carlo simulation of Bose-Fermi mixtures on the (3+1)-dimensional lattice. As its first application, we analyze the…

High Energy Physics - Lattice · Physics 2015-03-20 Arata Yamamoto

We have studied the interference of degenerate quantum gases in a vertical optical lattice. The coherence of the atoms leads to an interference pattern when the atoms are released from the lattice. This has been shown for a Bose-Einstein…

Atomic Physics · Physics 2009-11-10 G. Modugno , E. de Mirandes , F. Ferlaino , H. Ott , G. Roati , M. Inguscio

In response to a recent manuscript [cond-mat/0609685] on the analysis of interference patterns produced by ultracold atoms released from an optical lattice, we point out that in the presence of a Bose-Einstein condensate the interference…

Statistical Mechanics · Physics 2007-05-23 Fabrice Gerbier , Simon Foelling , Artur Widera , Immanuel Bloch

We investigate the dynamical instabilities of an ultracold Bose-Bose mixture with long-range dipole-dipole interactions, trapped in deep optical lattices and subject to periodically varying contact interaction. The effect of…

Quantum Gases · Physics 2025-03-25 Etienne Wamba , Jeremie Bai , A. Serge Tchakoutio Nguetcho

We have shown that the critical temperature of a Bose-Einstein condensate to a normal phase transition of noninteracting bosons in cubic optical lattices has a linear dependence on the filling factor, especially at large densities. The…

Quantum Gases · Physics 2014-10-01 Abdulla Rakhimov , Iman N. Askerzade

In this paper we develop an analytic expression for the critical temperature for a gas of ideal bosons in a combined harmonic lattice potential, relevant to current experiments using optical lattices. We give corrections to the critical…

Other Condensed Matter · Physics 2008-01-11 P. B. Blakie , Wen-Xin Wang

We determine the phase diagram of a mixture of ultracold bosons and polarized fermions placed in an optical lattice using mean field theory. In the limit of strong atom-atom interactions, there exist quantum phases that involve pairing of…

Other Condensed Matter · Physics 2009-11-10 H. Fehrmann , M. A. Baranov , B. Damski , M. Lewenstein , L. Santos

We theoretically consider non-interacting fermions confined to optical lattices and apply a lattice amplitude modulation that we choose to be either homogeneous or of superlattice geometry. We study the atom excitation rate to higher Bloch…

Quantum Gases · Physics 2018-01-25 Karla Loida , Ameneh Sheikhan , Corinna Kollath

We consider atomic Bose-Fermi mixtures in optical lattices and study the superfluidity of fermionic atoms due to s-wave pairing induced by boson-fermion interactions. We prove that the induced fermion-fermion coupling is always {\it…

Condensed Matter · Physics 2007-05-23 F. Illuminati , A. Albus