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We simulate a molecular Bose-Einstein condensate in the strongly dipolar regime, observing the existence of self-bound droplets, as well as their splitting into multiple droplets by confinement-induced frustration. Our quantum Monte Carlo…

Correspondence analysis is a dimension reduction method for visualization of nonnegative data sets, in particular contingency tables ; but it depends on the marginals of the data set. Two transformations of the data have been proposed to…

Methodology · Statistics 2025-10-20 Vartan Choulakian

The dynamics of Bose-Einstein condensates in the lowest energy band of a one-dimensional optical lattice is generally disturbed by the presence of transversally excited resonant states. We propose an effective one-dimensional theory which…

Other Condensed Matter · Physics 2007-05-23 K. -P. Marzlin , V. I. Yukalov

To improve the efficiency of Monte Carlo estimation, practitioners are turning to biased Markov chain Monte Carlo procedures that trade off asymptotic exactness for computational speed. The reasoning is sound: a reduction in variance due to…

Machine Learning · Statistics 2019-01-03 Jackson Gorham , Lester Mackey

Numerous models have been proposed to describe the Bose-Einstein correlations in multiple particle production processes. In the present paper we describe a generalization, which includes many previous models as special cases and, therefore,…

High Energy Physics - Phenomenology · Physics 2007-05-23 Kacer Zalewski

We have studied theoretically the Bose-Einstein condensation (BEC) of two-dimensional excitons in a ring with small random width variation. We derive a nonlinear Gross-Pitaevkii equation (GPE) for such a condensate. Our numerical solution…

Strongly Correlated Electrons · Physics 2007-05-23 S. -R. Eric Yang , Q-Han Park , J. Yeo

Variational method is applied to describe Bose-Einstein condensates (BEC) interacting via a pseudo-potential, taking into account quantum fluctuations around the mean field by the Gaussian approximation. Contributions from the pair-wise…

Condensed Matter · Physics 2007-05-23 Y. Tsue , D. Vautherin , T. Matsui

We consider a realistic bosonic N-particle model with unitary interactions relevant for Efimov physics. Using quantum Monte Carlo methods, we find that the critical temperature for Bose-Einstein condensation is decreased with respect to the…

Quantum Gases · Physics 2016-11-23 Tommaso Comparin , Werner Krauth

Long-range correlation plays an important role in analyses of pionic Bose-Einstein correlations (BECs). In many cases, such correlations are phenomenologically introduced. In this investigation, we propose an analytic form. By making use of…

High Energy Physics - Phenomenology · Physics 2021-02-23 Takuya Mizoguchi , Minoru Biyajima

The roton in a Bose-Einstein condensate is computed, both near and far from a Feshbach resonance. A low-density approximation is made, allowing for an analytic result. A Monte Carlo calculation shows that the roton is larger than predicted…

Soft Condensed Matter · Physics 2007-05-23 J. Steinhauer , R. Ozeri , N. Katz , N. Davidson

We study the behavior of quasi-one-dimensional (quasi-1d) Bose gases by Monte Carlo techniques, i.e., by the variational Monte Carlo, the diffusion Monte Carlo, and the fixed-node diffusion Monte Carlo technique. Our calculations confirm…

Condensed Matter · Physics 2009-11-10 G. E. Astrakharchik , D. Blume , S. Giorgini , B. E. Granger

The first- and second-order correlation functions of trapped, interacting Bose-Einstein condensates are investigated numerically on a many-body level from first principles. Correlations in real space and momentum space are treated. The…

Other Condensed Matter · Physics 2008-08-18 Kaspar Sakmann , Alexej I. Streltsov , Ofir E. Alon , Lorenz S. Cederbaum

We calculate the pair correlation function of an interacting Bose gas in a harmonic trap directly via Path Integral Quantum Monte Carlo simulation for various temperatures and compare the numerical result with simple approximative…

Atomic Physics · Physics 2009-10-31 M. Holzmann , Y. Castin

Bose-Einstein condensation has been experimentally found to take place in finite trapped systems when one of the confining frequencies is increased until the gas becomes effectively two-dimensional (2D). We confirm the plausibility of this…

Statistical Mechanics · Physics 2009-11-11 Juan Pablo Fernández , William J. Mullin

In the paper we include Bose-Einsten correlations for identical gluons, in the evolution of the double parton densities at low $x$ (high energies). We show that these correlations result in a faster increase of the double densities, in…

High Energy Physics - Phenomenology · Physics 2018-02-02 E. Gotsman , E. Levin

We consider generalizations of the classical inverse problem to Bayesien type estimators, where the result is not one optimal parameter but an optimal probability distribution in parameter space. The practical computational tool to compute…

Optimization and Control · Mathematics 2024-05-03 Michael Herty , Christian Ringhofer

The coherence properties of phase fluctuating Bose-Einstein condensates are studied both theoretically and experimentally. We derive a general expression for the N-particle correlation function of a condensed Bose gas in a highly elongated…

Soft Condensed Matter · Physics 2009-11-10 L. Cacciapuoti , D. Hellweg , M. Kottke , T. Schulte , K. Sengstock , W. Ertmer , J. J. Arlt , L. Santos , M. Lewenstein

A simple black-hole-ring system is proposed as a toy model for the two-body problem in general relativity. This toy-model yields the fractional shift $\Delta\Omega_{\text{isco}}/\Omega_{\text{isco}}={{29}\over{81\sqrt{2}}}\eta$ in the…

General Relativity and Quantum Cosmology · Physics 2015-06-17 Shahar Hod

The interference based analysis of Bose Einstein Correlations in the Lund Model has hitherto been limited to simple strings without gluonic excitations. A new fragmentation method based on the Area Law in the Lund Model allows such an…

High Energy Physics - Phenomenology · Physics 2017-08-23 Sandipan Mohanty

In three dimensions, non-interacting bosons undergo Bose-Einstein condensation at a critical temperature, $T_{c}$, which is slightly shifted by $\Delta T_{\mathrm{c}}$, if the particles interact. We calculate the excitation spectrum of…

Quantum Gases · Physics 2011-10-19 Samuel C. Cormack , Dániel Schumayer , David A. W. Hutchinson
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