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We calculate the location of the quantum phase transitions of a bose gas trapped in an optical lattice as a function of effective scattering length $a_{\eff}$ and temperature $T$. Knowledge of recent high-loop results on the shift of the…

Statistical Mechanics · Physics 2007-05-23 H. Kleinert , S. Schmidt , A. Pelster

Correlations of a Bose gas released from an optical lattice are measured using superradiant scattering. Conditions are chosen so that after initial incident light pumping at the Bragg angle for diffraction, due to matter wave amplification…

Quantum Gases · Physics 2015-05-28 Bo Lu , Thibault Vogt , Xinxing Liu , Xu Xu , Xiaoji Zhou , Xuzong Chen

The Mott insulating phase of a one-dimensional bosonic gas trapped in optical lattices is described by a Bose-Hubbard model. A continuous unitary transformation is used to map this model onto an effective model conserving the number of…

Statistical Mechanics · Physics 2009-11-11 A. Reischl , K. P. Schmidt , G. S. Uhrig

We study interacting bosons in optical lattices in the weak-tunneling regime in systems that exhibit the coexistence of Mott-insulating and condensed phases. We discuss the nature of the condensed ground state in this regime and the…

Other Condensed Matter · Physics 2010-09-27 Kuei Sun , Courtney Lannert , Smitha Vishveshwara

We studied the appearance of Mott insulator domains of hard sphere bosons on quasi one-dimensional optical lattices when an harmonic trap was superimposed along the main axis of the system. Instead of the standard approximation represented…

Quantum Gases · Physics 2014-09-25 C. Carbonell-Coronado , F. De Soto , M. C. Gordillo

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

We present a non-perturbative analysis of a new experimental technique for probing ultracold bosons in an optical lattice by periodic lattice depth modulations. This is done using the time-dependent density-matrix renormalization group…

Other Condensed Matter · Physics 2007-05-23 C. Kollath , A. Iucci , T. Giamarchi , W. Hofstetter , U. Schollwoeck

We investigate properties of an ultracold, two-component bosonic gas in a square optical lattice at unit filling. In addition to density-density interactions, the atoms are subject to coherent light-matter interactions that couple different…

Quantum Gases · Physics 2018-01-03 Ulrike Bornheimer , Ivana Vasić , Walter Hofstetter

We study experimentally and theoretically a cold trapped Bose gas under critical rotation, i.e. with a rotation frequency close to the frequency of the radial confinement. We identify two regimes: the regime of explosion where the cloud…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 P. Rosenbusch , D. S. Petrov , S. Sinha , F. Chevy , V. Bretin , Y. Castin , G. Shlyapnikov , J. Dalibard

Density correlations unambiguously reveal the quantum nature of matter. Here, we study correlations between measurements of density in cold-atom clouds at different times at one position, and also at two separated positions. We take into…

Quantum Gases · Physics 2015-03-16 M. Kohnen , R. A. Nyman

An ultracold gas of coupled two-component atoms in an optical field is studied. Due to the internal two-level structure of the atoms, three competing energy terms exist; atomic kinetic, atomic internal, and atom-atom interaction energies. A…

Other Condensed Matter · Physics 2009-09-11 Jonas Larson , Jani-Petri Martikainen

The emergence of a compressible insulator phase, known as the Bose glass, is characteristic of the interplay of interactions and disorder in correlated Bose fluids. While widely studied in tight-binding models, its observation remains…

Quantum Gases · Physics 2020-08-13 Hepeng Yao , Thierry Giamarchi , Laurent Sanchez-Palencia

Ultra-cold atomic gases provide new chance to study the universal critical behavior of phase transition. We study theoretically the matter wave interference for ultra-cold Bose gases in the critical regime. We demonstrate that the…

Quantum Gases · Physics 2017-06-28 Xuguang Yue , Shujuan Liu , Biao Wu , Hongwei Xiong

We study matter wave scattering from an ultracold, many body atomic system trapped in an optical lattice. We determine the angular cross section that a matter wave probe sees and show that it is strongly affected by the many body phase,…

Quantum Gases · Physics 2013-05-29 Scott N. Sanders , Florian Mintert , Eric J. Heller

Ensembles of ultra-cold atoms have been proven to be versatile tools for high precision sensing applications. Here, we present a method for manipulation and readout of the state of trapped clouds of ultra-cold bosonic atoms. In particular,…

Quantum Physics · Physics 2021-11-22 Benjamin Maaß , Daniel Hartley , Kurt Busch , Dennis Rätzel

We use a momentum-space hole-burning technique implemented via stimulated Raman transitions to measure the momentum relaxation time for a gas of bosonic atoms trapped in an optical lattice. By changing the lattice potential depth, we…

Quantum Gases · Physics 2016-08-10 David Chen , Carolyn Meldgin , Philip Russ , Erich Mueller , Brian DeMarco

Motivated by recent experiments on toroidal Bose-Einstein condensates in all-optical traps with tunable weak links, we study the one-dimensional Bose-Hubbard model on a ring-shaped lattice with a small region of weak hopping integrals using…

We employ ultracold atoms with controllable disorder and interaction to study the paradigmatic problem of disordered bosons in the full disorder-interaction plane. Combining measurements of coherence, transport and excitation spectra, we…

The control of transport properties is a key tool at the basis of many technologically relevant effects in condensed matter. The clean and precisely controlled environment of ultracold atoms in optical lattices allows one to prepare…

Quantum Gases · Physics 2014-12-15 M. Di Liberto , T. Comparin , T. Kock , M. Ölschläger , A. Hemmerich , C. Morais Smith

We have investigated experimentally the finite-temperature properties of a Bose-Einstein condensed cloud of $^{87}$Rb atoms in a harmonic trap. Focusing primarily on condensed fraction and expansion energy, we measure unambiguous deviations…

Other Condensed Matter · Physics 2007-05-23 Fabrice Gerbier , Joseph H. Thywissen , Simon Richard , Mathilde Hugbart , Philippe Bouyer , Alain Aspect