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Low-dimensional systems are beautiful examples of many-body quantum physics. For one-dimensional systems the Luttinger liquid approach provides insight into universal properties. Much is known of the equilibrium state, both in the weakly…

Other Condensed Matter · Physics 2008-02-14 S. Hofferberth , I. Lesanovsky , B. Fischer , T. Schumm , J. Schmiedmayer

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

An iterative scheme based on the kernel polynomial method is devised for the efficient computation of the one-body density matrix of weakly interacting Bose gases within Bogoliubov theory. This scheme is used to analyze the coherence…

Quantum Gases · Physics 2013-05-17 Joseph Saliba , Pierre Lugan , Vincenzo Savona

We study the low-temperature thermodynamics of weakly-interacting uniform liquids in one-dimensional attractive Bose-Bose mixtures.~The Bogoliubov approach is used to simultaneously describe quantum and thermal fluctuations. First, we…

Quantum Gases · Physics 2021-04-13 Giulia De Rosi , Grigori E. Astrakharchik , Pietro Massignan

We report on local measurements of atom number fluctuations in slices of a single 1D Bose gas with repulsive interactions. For weakly interacting gases, the fluctuations are super-Poissonian at intermediate atomic densities and become…

Several models of a strongly interacting Bose gas in an optical lattice are studied within the functional-integral approach. The one-dimensional Bose gas is briefly discussed. Then the Bose-Einstein condensate and the Mott insulator of a…

Other Condensed Matter · Physics 2022-06-15 Ch. Moseley , O. Fialko , K. Ziegler

We determine the regime where the widespread classical field description for quantum Bose gases is quantitatively accurate in 1d, 2d, and 3d by a careful study of the ideal gas limit. Numerical benchmarking in 1d shows that the ideal gas…

Quantum Gases · Physics 2015-12-16 Joanna Pietraszewicz , Piotr Deuar

To finalize information about the accuracy of the classical field approach for the 1d Bose gas, the lowest temperature quasicondensate was studied by comparing the extended Bogoliubov model of Mora and Castin, to its classical field…

Quantum Gases · Physics 2018-08-31 J. Pietraszewicz , P. Deuar

Coherence properties are central to quantum systems and are at the heart of phenomena such as superconductivity. Here we study coherence properties of an ultracold Bose gas in a two-dimensional optical lattice across the thermal phase…

Quantum Gases · Physics 2024-10-15 Justus C. Brüggenjürgen , Mathis S. Fischer , Christof Weitenberg

A weakly interacting Bose gas with a single static impurity is studied in one dimension. The local spectral density is evaluated and an analytic expression valid for positive strengths of the impurity coupling to the bosons, at all…

Quantum Gases · Physics 2022-04-12 Aleksandra Petković

Ultracold Bose gases are many-body systems with well-defined particle interactions that may serve as models for interacting quantum fields. The impact of virtual excitations is studied in the spatial transition zone created by a soft…

Quantum Gases · Physics 2025-05-22 Carsten Henkel

We prepare a chemically and thermally one-dimensional (1d) quantum degenerate Bose gas in a single microtrap. We introduce a new interferometric method to distinguish the quasicondensate fraction of the gas from the thermal cloud at finite…

Quantum Gases · Physics 2015-05-20 P. Krüger , S. Hofferberth , I. E. Mazets , I. Lesanovsky , J. Schmiedmayer

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 consider a dilute homogeneous Bose gas with both an isotropic short-range contact interaction and an anisotropic long-range dipole-dipole interaction in a weak random potential at low temperature in three dimensions. Within the realm of…

Quantum Gases · Physics 2015-01-09 Mahmoud Ghabour , Axel Pelster

We present a novel quantum stochastic evolution equation for a matter field describing the canonical state of a weakly interacting ultracold Bose gas. In the ideal gas limit our approach is exact. This numerically very stable equation…

Quantum Gases · Physics 2011-01-14 Sigmund Heller , Walter T. Strunz

We present a summary of some recent theoretical results for matter-wave patterns in Fermi and Bose-Fermi degenerate gases, obtained in the framework of the quasi-mean-field approximation. We perform a dimensional reduction from the…

Quantum Gases · Physics 2019-02-08 Pablo Díaz , David Laroze , Boris A. Malomed

We investigate the coherence properties of an array of one-dimensional Bose gases with short-scale phase fluctuations. The momentum distribution is measured using Bragg spectroscopy and an effective coherence length of the whole ensemble is…

Quantum Gases · Physics 2014-04-15 Nicole Fabbri , David Clément , Leonardo Fallani , Chiara Fort , Massimo Inguscio

We investigate degenerate quantum gases in one dimension trapped in a harmonic potential that is split in the centre by a pointlike potential. Since the single particle eigenfunctions of such a system are known for all strengths of the…

Condensed Matter · Physics 2009-11-10 Th. Busch , G. Huyet

We consider a three-dimensional weakly interacting Bose gas in the fluctuation region (and its vicinity) of the normal-superfluid phase transition point. We establish relations between basic thermodynamic functions: density, $n(T,\mu)$,…

Superconductivity · Physics 2007-05-23 Nikolay Prokof'ev , Oliver Ruebenacker , Boris Svistunov

The equation of state of a weakly interacting two-dimensional Bose gas is studied at zero temperature by means of quantum Monte Carlo methods. Going down to as low densities as na^2 ~ 10^{-100} permits us for the first time to obtain…

Quantum Physics · Physics 2009-05-14 G. E. Astrakharchik , J. Boronat , J. Casulleras , I. L. Kurbakov , Yu. E. Lozovik
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