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The usual interpretation of Bose-Einstein correlations (BEC) of identical boson pairs relates the width of the peak in the correlation function at small relative four-momentum to the spatial extent of the source of the bosons. However, in…

High Energy Physics - Experiment · Physics 2019-05-22 W. J. Metzger , T. Csörgő , T. Novák , S. Lökös

We apply Bayesian statistics to the estimation of correlation functions. We give the probability distributions of auto- and cross-correlations as functions of the data. Our procedure uses the measured data optimally and informs about the…

Data Analysis, Statistics and Probability · Physics 2022-12-27 Angel Gutierrez-Rubio , Juan S. Rojas-Arias , Jun Yoneda , Seigo Tarucha , Daniel Loss , Peter Stano

We present a comprehensive study shedding light on how thermal fluctuations affect correlations in a Bose gas with contact repulsive interactions in one spatial dimension. The pair correlation function, the static structure factor, and the…

Quantum Gases · Physics 2023-04-10 Giulia De Rosi , Riccardo Rota , Grigori E. Astrakharchik , Jordi Boronat

Inspired by recent experiments on Bose-Einstein condensates in ring traps, we investigate the topological properties of the phase of a one-dimensional Bose field in the presence of both thermal and quantum fluctuations -- the latter ones…

The condensate number distribution during the transition of a dilute, weakly interacting gas of N=200 bosonic atoms into a Bose-Einstein condensate is modeled within number conserving master equation theory of Bose-Einstein condensation.…

Quantum Physics · Physics 2012-12-27 Alexej Schelle

It is shown that $\alpha_s(E)$, the strong coupling constant, can be determined in the non-perturbative regime from Bose-Einstein correlations (BEC). The obtained $\alpha_s(E)$ is in agreement with the prescriptions dealt with in the…

High Energy Physics - Phenomenology · Physics 2018-07-31 G. Alexander , B. Blok

A theoretical model is developed for treating super conductive Bose-Einstein condensation (BEC) effects for excitons in planar systems, under the condition that many excitons are included in a surface area, with the dimensions of the…

Mesoscale and Nanoscale Physics · Physics 2015-05-20 Y. Ben-Aryeh

The Monte Carlo toy model of Bose-Einstein correlations is considered to make a best choice from different reference distributions. It occurs that the minimal bias in the Bose-Einstein correlation parameters estimation is provided by the…

High Energy Physics - Phenomenology · Physics 2012-12-13 V. A. Schegelsky

We study the large deviations behavior of systems that admit a certain form of a product distribution, which is frequently encountered both in Physics and in various information system models. First, to fix ideas, we demonstrate a simple…

Statistical Mechanics · Physics 2015-05-14 Neri Merhav , Yariv Kafri

We address the question of the relevance of thermalization to the increase of correlations in the quench dynamics of an isolated system with a finite number of interacting bosons. Specifically, we study how, in the process of…

Statistical Mechanics · Physics 2019-01-16 Fausto Borgonovi , Felix M. Izrailev

Recent advances in molecular cooling have enabled the realization of strongly dipolar Bose-Einstein condensates (BECs) of molecules, and BECs of many different molecular species may become experimentally accessible in the near future. Here,…

Bose-Einstein condensation is a remarkable manifestation of quantum statistics and macroscopic quantum coherence. Superconductivity and superfluidity have their origin in Bose-Einstein condensation. Ultracold quantum gases have provided…

The dynamical evolution of squeezing correlations in an ultracold Bose-Einstein distributed across two modes is investigated theoretically in the framework of the Bose-Hubbard model. It is shown that the eigenstates of the Hamiltonian do…

Quantum Gases · Physics 2015-05-18 C. Bodet , J. Estève , M. K. Oberthaler , T. Gasenzer

Using the Gaussian pair fluctuation theory, we investigate quantum fluctuations of a strongly interacting two-dimensional chiral \textit{p}-wave Fermi superfluid at the transition from a Bose-Einstein condensate (BEC) to a topologically…

Quantum Gases · Physics 2018-12-12 Hui Hu , Brendan C. Mulkerin , Lianyi He , Jia Wang , Xia-Ji Liu

Within hydrodynamic approach, we study the Bose-Einstein correlation of identical pions by taking into account both event-by-event fluctuating initial conditions and continuous pion emission during the whole development of the hot and dense…

High Energy Physics - Phenomenology · Physics 2008-11-26 O. Socolowski , F. Grassi , Y. Hama , T. Kodama

We investigate numerically the momentum correlations in a two dimensional, harmonically trapped interacting Bose system at $T=0$ temperature, by using a particle number preserving Bogoliubov approximation. Interaction induced quantum…

Quantum Gases · Physics 2022-04-18 Izabella Lovas , Balázs Dóra , Eugene Demler , Gergely Zaránd

We derive an exact recursion formula for the calculation of thermodynamic functions of finite systems obeying Bose-Einstein statistics. The formula is applicable for canonical systems where the particles can be treated as noninteracting in…

Statistical Mechanics · Physics 2009-10-31 Peter Borrmann , Jens Harting , Oliver Muelken , Eberhard R. Hilf

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 rewiew of the development of formalism to describe correlations and fluctuations in multiparticle production is presented. The milestones of history of this development and some obvious sources of correlations in experimental data are…

High Energy Physics - Phenomenology · Physics 2007-05-23 K. Fialkowski

We study the fluctuation of the number of particles in ideal Bose-Einstein condensates, both within the canonical and the microcanonical ensemble. Employing the Mellin-Barnes transformation, we derive simple expressions that link the…

Statistical Mechanics · Physics 2009-10-31 Martin Holthaus , Eva Kalinowski , Klaus Kirsten