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In a one-dimensional (1D) disordered potential, quantum interferences leading to Anderson lo-calization are ubiquitous, such that all wave-functions are exponentially localized. Moreover, no phase transition toward delocalization is…

Atomic Physics · Physics 2020-04-08 G. Berthet , L. Lavoine , M. Parit , A. Brolis , A. Boissé , T. Bourdel

We study coherence of a trapped bosonic cloud with attractive finite-range interaction in a tight harmonic trap. One-body density and pair-distribution function in the ground state for different trap sizes are calculated. We also calculate…

Quantum Gases · Physics 2012-06-22 Anindya Biswas , Barnali Chakrabarti , Tapan Kumar Das , Luca Salasnich

We study the transport dynamics of matter-waves in the presence of disorder and nonlinearity. An atomic Bose-Einstein condensate that is localized in a quasiperiodic lattice in the absence of atom-atom interaction shows instead a slow…

Disordered Systems and Neural Networks · Physics 2015-02-27 E. Lucioni , B. Deissler , L. Tanzi , G. Roati , M. Modugno , M. Zaccanti , M. Larcher , F. Dalfovo , M. Inguscio , G. Modugno

We investigate the ground and low excited states of a rotating, weakly interacting Bose-Einstein condensed gas in a harmonic trap for a given angular momentum. Analytical results in various limits, as well as numerical results are…

Condensed Matter · Physics 2009-10-31 G. M. Kavoulakis , B. Mottelson , C. J. Pethick

We present a detailed Monte Carlo study of correlations in an interacting two-dimensional Bose gas. The data for one-particle density matrix in coordinate representation are compared to the results for the local many-particle density…

Condensed Matter · Physics 2007-05-23 Yu. Kagan , V. A. Kashurnikov , A. V. Krasavin , N. V. Prokof'ev , B. V. Svistunov

We consider a multicomponent atomic Bose-Einstein condensate optically trapped in a far-off resonant dipole trap. Drawing an analogy with the optical situation, we show that this system can be regarded as an matter-wave analog of optical…

Condensed Matter · Physics 2009-10-31 Elena V. Goldstein , Pierre Meystre

The ground state of bosonic atoms in a trap has been shown experimentally to display Bose-Einstein condensation (BEC). We prove this fact theoretically for bosons with two-body repulsive interaction potentials in the dilute limit, starting…

Mathematical Physics · Physics 2009-11-07 Elliott H. Lieb , Robert Seiringer

We report on the optimized production of a Bose-Einstein condensate of cesium atoms using an optical trapping approach. Based on an improved trap loading and evaporation scheme we obtain more than $10^5$ atoms in the condensed phase. To…

Other Condensed Matter · Physics 2007-05-23 Tobias Kraemer , Jens Herbig , Michael Mark , Tino Weber , Cheng Chin , Hanns-Christoph Naegerl , Rudolf Grimm

This thesis describes the observation and study of Bose-Einstein condensation of a trapped, dilute gas of atomic hydrogen. The condensate and normal gas are studied by two-photon spectroscopy of the 1S-2S transition. We condense over 10^9…

Atomic Physics · Physics 2007-05-23 Dale G. Fried

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 study the robustness of quantum nondemolition (QND) measurement-induced entanglement between Bose-Einstein Condensates (BECs). We consider an experimental scheme where two BECs are placed in the paths of a Mach-Zehnder interferometer,…

A spin-orbit-coupled Bose-Einstein-condensed cloud of atoms confined in an annular trapping potential shows a variety of phases that we investigate in the present study. Starting with the non-interacting problem, the homogeneous phase that…

Quantum Gases · Physics 2016-02-17 E. Ö. Karabulut , F. Malet , A. L. Fetter , G. M. Kavoulakis , S. M. Reimann

The Bose-Einstein condensates recently created in trapped atomic gases are mesoscopic systems, in two senses: (a) Their size fall between macroscopic and microscopic systems; (b) They have a quantum phase that can be manipulated in…

Condensed Matter · Physics 2007-05-23 Kerson Huang

By using a correlated many body method and using the realistic van der Waals potential we study several statistical measures like the specific heat, transition temperature and the condensate fraction of the interacting Bose gas trapped in…

We consider a trapped quasi2D dipolar Bose Einstein condensate (q2D DBEC) with a polariza- tion tilted into the plane of motion. We show that by tilting the polarization axis, the coherence properties are anisotropic. Such a system will…

Atomic Physics · Physics 2012-11-06 Christopher Ticknor

We consider a trapped Bose gas of $N$ identical bosons in two dimensional space with both an attractive, two-body, scaled interaction and a repulsive, three-body, scaled interaction respectively of the form $-aN^{2\alpha-1} U(N^\alpha…

Mathematical Physics · Physics 2025-03-19 Dinh-Thi Nguyen , Julien Ricaud

Bose-Einstein condensation (BEC) in a gas has now been achieved. Alkali atoms ($^{87}Rb$, $^{23}Na$ and $^{7}Li$) have been cooled to the point of condensation (temperature of 100 nK) using laser cooling and trapping, followed by magnetic…

Quantum Physics · Physics 2016-09-08 Luca Salasnich

We present a new, simple renormalization group method of investigating groundstate properties of interacting bosonic systems. Our method reduces the number of particles in a system, which makes numerical calculations possible for large…

Statistical Mechanics · Physics 2013-05-29 Roman Werpachowski , Jerzy Kijowski

We investigate theoretically the Bose-Einstein condensation of trapped magnetoexcitons in a two-layered system with one layer containing electrons and the other layer containing holes. We have studied the spatial variations of the…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 S. -R. Eric Yang , J. Yeo , S. Han

The variance of the position operator is associated with how wide or narrow a wave-packet is, the momentum variance is similarly correlated with the size of a wave-packet in momentum space, and the angular-momentum variance quantifies to…

Quantum Gases · Physics 2021-07-13 Ofir E. Alon