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The entropy-temperature curves are calculated for non-interacting Bose and Fermi gases in a 3D optical lattice. These curves facilitate understanding of how adiabatic changes in the lattice depth affect the temperature, and we demonstrate…

Statistical Mechanics · Physics 2009-11-11 P. B. Blakie , A. -M. Rey , A. Bezett

We measure the thermalization dynamics of a lattice Bose gas that is Stark localized by a parabolic potential. A non-equilibrium thermal density distribution is created by quickly removing an optical barrier. The resulting spatio-temporal…

Quantum Gases · Physics 2023-05-10 Laura Wadleigh , Nicholas Kowalski , Brian DeMarco

It is shown theoretically how to directly obtain the energy distribution of a weakly interacting gas of bosons confined in an optical lattice in the tight-binding limit. This is accomplished by adding a linear potential to a suitably…

Statistical Mechanics · Physics 2009-11-13 David L. Feder

We present a quantitative finite temperature analysis of a recent experiment with Bose-Fermi mixtures in optical lattices, in which the dependence of the coherence of bosons on the inter-species interaction was analyzed. Our theory…

Quantum Gases · Physics 2013-05-29 M. Cramer

We have studied thermodynamic properties of noninteracting gases in periodic lattice potential at arbitrary integer fillings and compared them with that of ideal homogeneous gases. Deriving explicit expressions for thermodynamic quantities…

Quantum Gases · Physics 2015-07-10 Abdulla Rakhimov , Iman N. Askerzade

We investigate a Bose-Fermi mixture in a three-dimensional optical lattice, trapped in a harmonic potential. Using Generalized Dynamical Mean-Field theory, which treats the Bose-Bose and Bose-Fermi interaction in a fully non-perturbative…

Quantum Gases · Physics 2011-04-18 Michiel Snoek , Irakli Titvinidze , Immanuel Bloch , Walter Hofstetter

In current experiments with cold quantum gases in periodic potentials, interference fringe contrast is typically the easiest signal in which to look for effects of non-trivial many-body dynamics. In order better to calibrate such…

Statistical Mechanics · Physics 2009-11-13 G. A. Muradyan , J. R. Anglin

We have studied mixtures of fermionic $^{40}$K and bosonic $^{87}$Rb quantum gases in a three-dimensional optical lattice. We observe that an increasing admixture of the fermionic species diminishes the phase coherence of the bosonic atoms…

Strongly Correlated Electrons · Physics 2007-05-23 Kenneth Günter , Thilo Stöferle , Henning Moritz , Michael Köhl , Tilman Esslinger

We investigate the properties of trapped Bose-Fermi mixtures for experimentally relevant parameters in one dimension. The effect of the attractive Bose-Fermi interaction onto the bosons is to deepen the parabolic trapping potential, and to…

Other Condensed Matter · Physics 2008-03-03 Lode Pollet , Corinna Kollath , Ulrich Schollwoeck , Matthias Troyer

We experimentally study the energy-temperature relationship of a harmonically trapped Bose-Einstein condensate by transferring a known quantity of energy to the condensate and measuring the resulting temperature change. We consider two…

Quantum Gases · Physics 2022-02-09 S. K. Ruddell , D. H. White , A. Ullah , D. Baillie , M. D. Hoogerland

We theoretically study how excitations due to spontaneous emission and trap fluctuations combine with elastic collisions to change the momentum distribution of a trapped non-degenerate one-dimensional (1D) Bose gas. Using calculated…

Quantum Gases · Physics 2015-06-17 Jean-Félix Riou , Laura A. Zundel , Aaron Reinhard , David S. Weiss

We propose a method for measuring the temperature of strongly correlated phases of ultracold atom gases confined in spin-dependent optical lattices. In this technique, a small number of "impurity" atoms--trapped in a state that does not…

Quantum Gases · Physics 2010-06-01 D. McKay , B. DeMarco

We study the sympathetic cooling of a trapped Fermi gas interacting with an ideal Bose gas below the critical temperature of the Bose-Einstein condensation. We derive the quantum master equation, which describes the dynamics of the…

Soft Condensed Matter · Physics 2009-11-11 Z. Idziaszek , L. Santos , M. Lewenstein

We study equilibrium properties of Bose-Condensed gases in a one-dimensional (1D) optical lattice at finite temperatures. We assume that an additional harmonic confinement is highly anisotropic, in which the confinement in the radial…

Other Condensed Matter · Physics 2009-11-11 E. Arahata , T. Nikuni

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 investigate the properties of impenetrable bosons confined in a one-dimensional lattice at finite temperature in the presence of an additional incommensurate periodic potential. Relying on the exact Fermi-Bose mapping, we study the…

Quantum Gases · Physics 2011-12-14 Nicolas Nessi , Aníbal Iucci

Bose-Einstein condensation (BEC) in cold gases can be turned on and off by an external potential, such as that presented by an optical lattice. We present a model of this phenomenon which we are able to analyze rigorously. The system is a…

Statistical Mechanics · Physics 2009-11-10 Michael Aizenman , Elliott H. Lieb , Robert Seiringer , Jan Philip Solovej , Jakob Yngvason

We study the Bose-Einstein condensation for a 3-d system of ideal Bose gas which is harmonically trapped along two perpendicular directions and is confined in between two slabs along the other perpendicular direction. We calculate the…

Statistical Mechanics · Physics 2007-05-23 Shyamal Biswas

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 discuss pair interatomic collisions in a Bose gas tightly confined in one (axial) direction and identify two regimes of scattering. In the quasi2D regime, where the confinement frequency $\omega_0$ greatly exceeds the gas temperature…

Statistical Mechanics · Physics 2009-10-31 D. S. Petrov , G. V. Shlyapnikov
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