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Low temperature properties of harmonically confined two-dimensional assemblies of dipolar bosons are systematically investigated by Monte Carlo simulations. Calculations carried out for different numbers of particles and strengths of the…

Statistical Mechanics · Physics 2013-05-29 Piyush Jain , Fabio Cinti , Massimo Boninsegni

We consider the physics of lattice bosons affected by disordered on-site interparticle interactions. Characteristic qualitative changes in the zero temperature phase diagram are observed when compared to the case of randomness in the…

Other Condensed Matter · Physics 2009-11-11 H. Gimperlein , S. Wessel , J. Schmiedmayer , L. Santos

Bosons in a periodic lattice with on-site disorder at low but non-zero temperature are considered within a mean-field theory. The criteria used for the definition of the superfluid, Mott insulator and Bose glass are analysed. Since the…

Other Condensed Matter · Physics 2007-05-23 K. V. Krutitsky , A. Pelster , R. Graham

We review recent advances in the theory of the three-dimensional dilute homogeneous Bose gas at zero and finite temperature. Effective field theory methods are used to formulate a systematic perturbative framework that can be used to…

Other Condensed Matter · Physics 2008-11-26 Jens O Andersen

We improve on the Popov theory for partially Bose-Einstein condensed atomic gases by treating the phase fluctuations exactly. As a result, the theory becomes valid in arbitrary dimensions and is able to describe the low-temperature…

Condensed Matter · Physics 2009-11-07 J. O. Andersen , U. Al Khawaja , H. T. C Stoof

We consider a two-dimensional dilute Bose gas above its superfluid transition temperature. We show that the t-matrix approximation corresponds to the leading set of diagrams in the dilute limit, provided the temperature is sufficiently…

Condensed Matter · Physics 2015-06-24 P. Pieri , G. C. Strinati , I. Tifrea

We study the weakly-interacting Bose gas in both two and three dimensions using a variational approach. In particular we construct the thermodynamic potential of the gas to within ladder approximation and find by minimization an accurate…

Condensed Matter · Physics 2007-05-23 M. Bijlsma , H. T. C. Stoof

We analyse the finite-temperature phase diagram of a dipolar Bose Einstein Condensate confined in a tubular geometry. The effect of thermal fluctuations is accounted for by means of Bogoliubov theory employing the local density…

Quantum Gases · Physics 2024-02-05 Juan Sánchez-Baena , Thomas Pohl , Fabian Maucher

We analyze the ground-state and low-temperature properties of a one-dimensional Bose gas in a harmonic trapping potential using the numerical density matrix renormalization group. Calculations cover the whole range from the Bogoliubov limit…

Other Condensed Matter · Physics 2009-11-11 Bernd Schmidt , Michael Fleischhauer

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

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 study the superfluid transitions in bidimensional (2D) and tridimensional (3D) disordered and interacting Bose gases. We work in the limit of long-range correlated disorder such that it can be treated in the local density approximation.…

Quantum Gases · Physics 2013-02-22 Thomas Bourdel

We investigate the superfluid-insulator quantum phase transition in a disordered 1D Bose gas in the mean field limit, by studying the probability distribution of the density. The superfluid phase is characterized by a vanishing probability…

Quantum Gases · Physics 2011-04-19 Luca Fontanesi , Michiel Wouters , Vincenzo Savona

We discuss in detail the experimental investigation of thermally induced fluctuations of the relative phase between two weakly coupled Bose-Einstein condensates. In analogy to superconducting Josephson junctions, the weak coupling…

Other Condensed Matter · Physics 2007-05-23 R. Gati , J. Esteve , B. Hemmerling , T. B. Ottenstein , J. Appmeier , A. Weller , M. K. Oberthaler

We discuss Bose-Einstein condensation in harmonic traps where the confinement has undergone a splitting along one direction. We mostly consider the 3D potentials consisting of two cylindrical wells separated a distance 2a along the z-axis.…

Condensed Matter · Physics 2009-10-31 P. Capuzzi , E. S. Hernandez

The main focus of this work is on the predictions made by the dielectric formalism in regard to the relationship between single-particle and collective excitation spectra in a gas of point-like charged bosons at finite temperature $T$ below…

Statistical Mechanics · Physics 2015-06-25 B. Davoudi , M. P. Tosi

We develop the Hartree-Fock-Bogoliubov theory at finite temperature for Bose gas trapped in the two dimensional optical lattices. The on-site energy is considered low enough that the gas presents superfluid properties. We obtain the…

Quantum Gases · Physics 2015-05-11 M. O. C. Pires , E. J. V. de Passos

We present a Monte Carlo calculation for up to $N \sim 20 000$ bosons in 3 D to determine the shift of the transition temperature due to small interactions $a$. We generate independent configurations of the ideal gas. At finite $N$, the…

Statistical Mechanics · Physics 2009-10-31 Markus Holzmann , Werner Krauth

Using the finite-temperature path integral Monte Carlo method, we investigate dilute, trapped Bose gases in a quasi-two dimensional geometry. The quantum particles have short-range, s-wave interactions described by a hard-sphere potential…

Statistical Mechanics · Physics 2009-11-11 Kwangsik Nho , D. P. Landau

By means of quantum Monte Carlo simulations implemented with a two-loop update scheme, the finite-temperature phase diagram of a three-body constrained attractive Bose lattice gas is investigated. The nature of the thermal phase transitions…

Quantum Gases · Physics 2011-03-24 Kwai-Kong Ng , Min-Fong Yang