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One of the most remarkable recent developments in the study of ultracold Bose gases is the observation of a reversible transition from a Bose Einstein condensate to a state composed of localized atoms as the strength of a periodic, optical…

Statistical Mechanics · Physics 2008-09-23 M. Aizenman , E. H. Lieb , R. Seiringer , J. P. Solovej , J. Yngvason

I show how interaction corrections to the Bose condensation temperature of an atomic gas can be computed using a combination of perturbative effective field theory and lattice techniques.

High Energy Physics - Lattice · Physics 2007-05-23 Guy D. Moore

Ultracold Bose gases in one-dimensional optical lattices constitute an important benchmark problem in the study of strongly interacting many-body quantum phases. Here we present a combined experimental and theoretical study of their…

Quantum Gases · Physics 2026-03-30 R. Vatré , G. Morettini , J. Beugnon , R. Lopes , L. Mazza , F. Gerbier

We study the out-of-equilibrium dynamics of bosonic atoms in a 1D optical lattice, after the ground-state is excited by a single spontaneous emission event, i.e. after an absorption and re-emission of a lattice photon. This is an important…

Quantum Gases · Physics 2015-02-27 Johannes Schachenmayer , Lode Pollet , Matthias Troyer , Andrew J. Daley

We investigate a dilute Bose gas confined in a tight one-dimensional (1D) optical lattice plus a superimposed random potential at zero temperature. Accordingly, the ground state energy, quantum depletion and superfluid density are…

Quantum Gases · Physics 2015-05-19 Kezhao Zhou , Ying Hu , Zhaoxin Liang , Zhidong Zhang

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. The phase diagram of the resulting atom-molecule mixture in…

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

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

With the objective of simulating the physical behavior of electrons in a dynamic background, we investigate a cold atomic Bose-Fermi mixture confined in an optical lattice potential solely affecting the bosons. The bosons, residing in the…

Quantum Gases · Physics 2024-02-19 Axel Gagge , Th. K. Mavrogordatos , Jonas Larson

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

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

We discuss the experimental signal for the Bose condensation of cold atoms in an optical lattice at finite temperature. Instead of using the visibility of the interference pattern via the time-of-flight imaging, we show that the momentum…

Other Condensed Matter · Physics 2007-09-24 W. Yi , G. -D. Lin , L. -M. Duan

The response of cold atom gases to small periodic phase modulation of an optical lattice is discussed. For bosonic gases, the energy absorption rate is given, within linear response theory, by imaginary part of the current correlation…

Quantum Gases · Physics 2013-05-29 Akiyuki Tokuno , Thierry Giamarchi

We present a theoretical study of bose condensation and specific heat of non-interacting bosons in finite lattices in harmonic potentials in one, two, and three dimensions. We numerically diagonalize the Hamiltonian to obtain the energy…

Statistical Mechanics · Physics 2009-11-11 R. Ramakumar , A. N. Das , S. Sil

We observe interband transitions mediated by the dipole-dipole interaction for an array of 1D quantum gases of chromium atoms, trapped in a 2D optical lattice. Interband transitions occur when dipolar relaxation releases an energy which…

Quantum Gases · Physics 2015-05-20 B. Pasquiou , G. Bismut , E. Maréchal , P. Pedri , L. Vernac , O. Gorceix , B. Laburthe-Tolra

We study spin-dependent heat transport in quantum gases, focusing on transport phenomena related to pure spin currents and spin-dependent temperatures. Using the Boltzmann equation, we compute the coupled spin and heat transport…

Quantum Gases · Physics 2015-04-08 Clement H. Wong , H. T. C. Stoof , R. A. Duine

We consider a dilute Bose gas in the thermodynamic limit and prove a lower bound on the free energy for low temperatures which is in agreement with the conjecture of Lee-Huang-Yang on the excitation spectrum of the system. Combining…

Mathematical Physics · Physics 2024-08-27 S. Fournais , L. Junge , T. Girardot , L. Morin , M. Olivieri , A. Triay

We describe a powerful method for determining the equation of state of an ultracold gas from in situ images. The method provides a measurement of the local pressure of an harmonically trapped gas and we give several applications to Bose and…

Quantum Gases · Physics 2015-05-19 Sylvain Nascimbène , Nir Navon , Frédéric Chevy , C. Salomon

We investigate the effects of finite temperature on ultracold Bose atoms confined in an optical lattice plus a parabolic potential in the Mott insulator state. In particular, we analyze the temperature dependence of the density distribution…

Other Condensed Matter · Physics 2009-11-10 Guido Pupillo , Carl J. Williams , Nikolay V. Prokof'ev

We study the dynamics of strongly correlated one-dimensional Bose gases in a combined harmonic and optical lattice potential subjected to sudden displacement of the confining potential. Using the time-evolving block decimation method, we…

Other Condensed Matter · Physics 2009-11-13 Ippei Danshita , Charles W. Clark

Mixtures of bosonic and fermionic atoms in optical lattices provide a promising arena to study strongly correlated systems. In experiments realizing such mixtures in the quantum degenerate regime the temperature is a key parameter. In this…

Statistical Mechanics · Physics 2008-05-16 M. Cramer , S. Ospelkaus , C. Ospelkaus , K. Bongs , K. Sengstock , J. Eisert