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In this paper, the condensate fraction and the critical atom number and its corresponding critical temperature of condensate ultracold boson atoms trapped in optical box traps, are investigated. The semiclassical approximation is employed…

Quantum Gases · Physics 2022-10-04 Ahmed S. Hassan , Azza M. Elbadry , A. M. Mohammedein

We study the properties of a Bose-Einstein condensed cloud of atoms with negative scattering length confined in a harmonic trap. When a realistic non local (finite range) effective interaction is taken into account, we find that, besides…

Condensed Matter · Physics 2007-05-23 L. Reatto , A. Parola , L. Salasnich

We study theoretically a BEC loaded into an optical lattice in the tight-binding regime, with a second, weak incommensurate lattice acting as a perturbation. We find, using direct diagonalization of small systems and a large scale, number…

Disordered Systems and Neural Networks · Physics 2007-05-23 Nir Bar-Gill , Rami Pugatch , Eitan Rowen , Nadav Katz , Nir Davidson

Ultracold bosonic atoms are confined by an optical lattice inside an optical resonator and interact with a cavity mode, whose wave length is incommensurate with the spatial periodicity of the confining potential. We predict that the…

Quantum Gases · Physics 2013-10-15 Hessam Habibian , André Winter , Simone Paganelli , Heiko Rieger , Giovanna Morigi

Using \emph{in situ} measurements on a quasi two-dimensional, harmonically trapped $^{87}$Rb gas, we infer various equations of state for the equivalent homogeneous fluid. From the dependence of the total atom number and the central density…

Quantum Gases · Physics 2011-12-02 Tarik Yefsah , Rémi Desbuquois , Lauriane Chomaz , Kenneth J. Günter , Jean Dalibard

We analyze theoretically the experiment reported in [F. Gerbier et al, cond-mat/0503452], where the interference pattern produced by an expanding atomic cloud in the Mott insulator regime was observed. This interference pattern, indicative…

Other Condensed Matter · Physics 2007-05-23 Fabrice Gerbier , Artur Widera , Simon Foelling , Olaf Mandel , Tatjana Gericke , Immanuel Bloch

Dissipation is ubiquitous in nature and plays a crucial role in quantum systems such as causing decoherence of quantum states. Recently, much attention has been paid to an intriguing possibility of dissipation as an efficient tool for…

Quantum Gases · Physics 2017-12-29 Takafumi Tomita , Shuta Nakajima , Ippei Danshita , Yosuke Takasu , Yoshiro Takahashi

We study the quantum phases of mixtures of ultra-cold bosonic atoms held in an optical lattice that confines motion or hopping to one spatial dimension. The phases are found by using Tomonaga-Luttinger liquid theory as well as the numerical…

Quantum Gases · Physics 2010-02-16 Anzi Hu , L. Mathey , Ippei Danshita , Eite Tiesinga , Carl J. Williams , Charles W. Clark

We show that measuring commuting observables can be sufficient to assess that a bipartite state is entangled according to either nonseparability or the stronger criterion of 'steerability'. Indeed, the measurement of a single observable…

Quantum Gases · Physics 2017-08-23 Scott Robertson , Florent Michel , Renaud Parentani

In a pioneering experiment, Hanbury Brown and Twiss (HBT) demonstrated that noise correlations could be used to probe the properties of a (bosonic) particle source through quantum statistics; the effect relies on quantum interference…

Other Condensed Matter · Physics 2007-05-23 Simon Foelling , Fabrice Gerbier , Artur Widera , Olaf Mandel , Tatjana Gericke , Immanuel Bloch

We study the extended Bose--Hubbard model describing an ultracold gas of dipolar molecules in an optical lattice, taking into account all on-site and nearest-neighbor interactions, including occupation-dependent tunneling and pair tunneling…

Quantum Gases · Physics 2013-04-10 Tomasz Sowiński , Omjyoti Dutta , Philipp Hauke , Luca Tagliacozzo , Maciej Lewenstein

We theoretically study the optical properties of a gas of ultracold, coherently dressed three-level atoms in a Mott insulator phase of an optical lattice. The vacuum state, the band dispersion and the absorption spectrum of the polariton…

Other Condensed Matter · Physics 2008-07-08 Iacopo Carusotto , Mauro Antezza , Francesco Bariani , Simone De Liberato , Cristiano Ciuti

We perform detailed analytical and numerical studies of a recently proposed method for a spectroscopic measurement of the superfluid fraction of an ultracold atomic gas [N. R. Cooper and Z. Hadzibabic, Phys. Rev. Lett. 104, 030401 (2010)].…

Quantum Gases · Physics 2017-10-02 S. T. John , Z. Hadzibabic , N. R. Cooper

We discuss typical experimental signatures for the Bose-Einstein condensation (BEC) of an ultracold Bose gas in an inhomogeneous optical lattice at finite temperature. Applying the Hartree-Fock-Bogoliubov-Popov formalism, we calculate…

Quantum Gases · Physics 2014-09-08 Ke-Ji Chen , Jingkun Wang , Wei Yi , Wei Zhang

We study the phase-fluctuating condensate regime of ultra-cold atoms trapped in a ring-shaped trap geometry, which has been realized in recent experiments. We first consider a simplified box geometry, in which we identify the conditions to…

Quantum Gases · Physics 2015-05-19 L. Mathey , A. Ramanathan , K. C. Wright , S. R. Muniz , W. D. Phillips , Charles W. Clark

We propose to use Bragg spectroscopy to measure the excitation spectrum of the Mott insulator state of an atomic Bose gas in an optical lattice. We calculate the structure factor of the Mott insulator taking into account both the selfenergy…

Statistical Mechanics · Physics 2014-10-13 D. Van Oosten , D. B. M. Dickerscheid , P. van der Straten , H. T. C. Stoof

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

Weak localization of bosons can give rise to an exotic quantum phase known as a Bose glass, characterized by the absence of global phase coherence yet finite conductivity. This phase is crucial in understanding the interplay between…

Strongly Correlated Electrons · Physics 2025-09-30 Hiroyoshi Nobukane , Koki Hirose , Kakeru Isono , Mizuki Higashiizumi , Masahito Sakoda , Korekiyo Takahashi , Satoshi Tanda

We investigate a quasi-one dimensional system of trapped cold bosonic atoms in an optical lattice by using the density matrix renormalization group to study the Bose-Hubbard model at T=0 for experimentally realistic numbers of lattice…

Strongly Correlated Electrons · Physics 2007-05-23 C. Kollath , U. Schollwöck , J. von Delft , W. Zwerger

Continuous center-of-mass position measurements performed on an interacting harmonically trapped Bose-gas are considered. Using both semi-analytical mean-field approach and completely quantum numerical technique based on positive…

Quantum Physics · Physics 2013-05-29 T. Yu. Ivanova , M. S. Samoylova , D. A. Ivanov