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We discuss the linear response of the Bogolyubov theory of a weakly interacting Bose gas below the critical temperature. The specific aspects, due to induced perturbation terms in the self-consistent treatment are discussed in detail. We…

Statistical Mechanics · Physics 2007-05-23 L. Banyai , M. A. Bundaru , P. Gartner

Coulomb drag experiments in which the inter-layer resistivity is measured are important as they provide information on the Coulomb interactions in bilayer systems. When the layer densities are low correlation effects become significant to…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 R. Asgari , B. Tanatar , B. Davoudi

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

The disorder-induced localization of few bosons interacting via a contact potential is investigated through the analysis of the level-spacing statistics familiar from random matrix theory. The model we consider is defined in a continuum and…

Quantum Gases · Physics 2019-07-04 Pere Mujal , Artur Polls , Sebastiano Pilati , Bruno Juliá-Díaz

We propose a systematic way to investigate the low-temperature thermodynamic properties of quantum spin systems subject to the restriction that only a finite number of bosons may occupy a single lattice site. Such a kinematical interaction…

Soft Condensed Matter · Physics 2016-08-31 L. V. Popovich , M. V. Medvedev

A variational approach is used to calculate free energy and conformational properties in polyelectrolytes. The true bond and Coulomb potentials are approximated by a trial isotropic harmonic energy containing monomer-monomer force constants…

High Energy Physics - Lattice · Physics 2009-09-25 B. Jönsson , C. Peterson , B. Söderberg

The derivation of mean-field limits for quantum systems at zero temperature has attracted many researchers in the last decades. Recent developments are the consideration of pair correlations in the effective description, which lead to a…

Mathematical Physics · Physics 2019-12-12 Sören Petrat , Peter Pickl , Avy Soffer

We outline an interferometric scheme for the detection of bi-mode and multi-mode spatial entanglement of finite-temperature,interacting Bose gases of fixed particle number. Whether entanglement is present in the gas depends on the existence…

Quantum Physics · Physics 2013-06-18 J. Goold , Libby Heaney , Th. Busch , V. Vedral

Recently, a Quantum Monte Carlo method alternative to the Path Integral Monte Carlo method was developed for the numerical solution of the N-boson problem; it is based on the stochastic evolution of classical fields. Here we apply it to…

Statistical Mechanics · Physics 2009-11-07 Iacopo Carusotto , Yvan Castin

We study the Anderson localization of Bogoliubov quasiparticles (elementary many-body excitations) in a weakly interacting Bose gas of chemical potential $\mu$ subjected to a disordered potential $V$. We introduce a general mapping (valid…

Quantum Gases · Physics 2011-08-05 Pierre Lugan , Laurent Sanchez-Palencia

We formulate a method to study two-body correlations in a system of N identical bosons interacting via central two-body potentials. We use the adiabatic hyperspherical approach and assume a Faddeev-like decomposition of the wave function.…

Condensed Matter · Physics 2009-11-07 O. Sørensen , D. V. Fedorov , A. S. Jensen

Now that the low temperature properties of quantum-mechanical many-body systems (bosons) at low density, $\rho$, can be examined experimentally it is appropriate to revisit some of the formulas deduced by many authors 4-5 decades ago. For…

Mathematical Physics · Physics 2007-05-23 Elliott H. Lieb , Robert Seiringer , Jan Philip Solovej , Jakob Yngvason

We consider systems of $N$ bosons in a box with volume one, interacting through a repulsive two-body potential of the form $\kappa N^{3\beta-1} V(N^\beta x)$. For all $0 < \beta < 1$, and for sufficiently small coupling constant $\kappa >…

Mathematical Physics · Physics 2017-05-19 Chiara Boccato , Christian Brennecke , Serena Cenatiempo , Benjamin Schlein

This thesis concerns the correlation structure of interacting Fermi gases on a torus in the mean-field regime. A bosonization method in the spirit of Sawada is developed to analyze the system, and is applied to obtain an upper bound for the…

Mathematical Physics · Physics 2023-01-31 Martin Ravn Christiansen

We consider a dilute gas of bosons with repulsive contact interactions, described on the mean-field level by the Gross-Pitaevskii equation, and bounded by an impenetrable "hard" wall (either rigid or flexible). We solve the Bogoliubov-de…

Quantum Gases · Physics 2019-05-13 Peter V. Pikhitsa , Uwe R. Fischer

This paper discusses relativistic corrections to the thermal Coulomb potential for simple atomic systems. The theoretical description of the revealed thermal corrections is carried out within the framework of relativistic quantum…

Atomic Physics · Physics 2021-05-19 D. Solovyev , T. Zalialiutdinov , A. Anikin

We develop an analytical method for calculating local correlations in strongly interacting 1D Bose gases, based on the exactly solvable Lieb-Liniger model. The results are obtained at zero and finite temperatures. They describe the…

Statistical Mechanics · Physics 2009-11-10 D. M. Gangardt , G. V. Shlyapnikov

Scattering phase shifts obtained from 87Rb Bose-gas collision experiments are used to reconstruct effective potentials resulting, self-consistently, in the same scattering events observed in the experiments at a particular energy. We have…

Other Condensed Matter · Physics 2011-05-10 Dániel Schumayer , Oliver Melchert , Werner Scheid , Barnabás Apagyi

A mechanism generating a $\lambda$-type behavior in the specific heat of a Bose gas near the critical temperature $T_c$ is discussed. It is shown to work for a general class of quasiparticle spectra, and especially, for the Bogoliubov's…

Condensed Matter · Physics 2016-08-15 I. Cabrera , H. Perez Rojas

The linearization around one of its equilibrium of a system that describes the correlations between the superfluid component and the normal fluid part of a condensed Bose gas in the approximation of very low temperature and small condensate…

Analysis of PDEs · Mathematics 2021-12-28 Miguel Escobedo