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A local approximation for dynamic polarizability leads to a nonlocal functional for the long-range dispersion interaction energy via an imaginary-frequency integral. We analyze several local polarizability approximations and argue that the…

Chemical Physics · Physics 2015-03-17 Oleg A. Vydrov , Troy Van Voorhis

We consider a relativistic strongly interacting Bose gas. The interaction is manifested in the off-shellness of the equilibrium distribution. The equation of state that we obtain for such a gas has the properties of a realistic equation of…

High Energy Physics - Theory · Physics 2009-10-28 L. Burakovsky , L. P. Horwitz , W. C. Schieve

The wave functions of Boson and Fermion gases are known even when the particles have harmonic interactions. Here we generalise these results by solving exactly the N-body Schrodinger equation for potentials V that can be any function of the…

Statistical Mechanics · Physics 2009-10-31 D. Lynden-Bell , R. M. Lynden-Bell

In this letter we consider dipolar quantum gases in a quasi-one-dimensional tube with dipole moment perpendicular to the tube direction. We deduce the effective one-dimensional interaction potential and show that this potential is not…

Quantum Gases · Physics 2014-02-12 Liming Guan , Xiaoling Cui , Ran Qi , Hui Zhai

We study effects of weak disorder with Gaussian correlation function on a dipolar Bose gas with three-body interactions using the Hartree-Fock-Bogoliubov theory. Corrections due to quantum, thermal and disorder fluctuations to the…

Disordered Systems and Neural Networks · Physics 2019-08-06 Redaouia Keltoum , Abdelaali Boudjemaa

We consider a gas of N bosons with interactions in the mean-field scaling regime. We review a recent proof of the asymptotic expansion of its spectrum and eigenstates and two applications of this result, namely the derivation of an…

Mathematical Physics · Physics 2024-05-09 Lea Boßmann , Nikolai Leopold , David Mitrouskas , Sören Petrat

We investigate the scattering cross section of aligned dipolar molecules in low-temperature gases. Over a wide range of collision energies relevant to contemporary experiments, the cross section declines in inverse proportion to the…

Atomic Physics · Physics 2015-05-13 J. L. Bohn , M. Cavagnero , C. Ticknor

We consider a homogeneous non-ideal Bose gas at nonzero temperature in equilibrium below the critical temperature $T_C$ in the framework of finite temperature field theory. An algorithm is described in which a manageable subset of diagrams…

Other Condensed Matter · Physics 2015-03-13 E. Kovalchuk , R. Kobes

Cold quantum gases, when acted upon by electromagnetic fields, can give rise to samples where isolated atoms coexist with dimers or trimers, which raises the question of the interactions between these various constituents. Here we perform…

Quantum Gases · Physics 2022-11-10 C. Maury , B. Bakkali-Hassani , G. Chauveau , F. Rabec , S. Nascimbene , J. Dalibard , J. Beugnon

Consider a system of $N$ bosons in three dimensions interacting via a repulsive short range pair potential $N^2V(N(x_i-x_j))$, where $\bx=(x_1, >..., x_N)$ denotes the positions of the particles. Let $H_N$ denote the Hamiltonian of the…

Mathematical Physics · Physics 2015-05-13 Laszlo Erdos , Benjamin Schlein , Horng-Tzer Yau

We give a method to solve the time-dependent Schroedinger equation for a system of one-dimensional bosons interacting via a repulsive delta function potential. The method uses the ideas of Bethe Ansatz but does not use the spectral theory…

Mathematical Physics · Physics 2008-10-23 Craig A. Tracy , Harold Widom

We present a method to control the shape and character of the interaction potential between cold atomic gases by weakly dressing the atomic ground state with a Rydberg level. For increasing particle densities, a crossover takes place from a…

Quantum Gases · Physics 2012-10-12 Jens Honer , Hendrik Weimer , Tilman Pfau , Hans Peter Büchler

We consider dynamic, i.e., frequency-dependent, correlations in non-condensed ultracold atomic Bose gases. In particular, we consider the single-particle correlation function and its power spectrum. We compute this power spectrum for a…

Quantum Gases · Physics 2014-03-05 A. Bezett , H. J. van Driel , M. P. Mink , H. T. C. Stoof , R. A. Duine

We develop a theory of damping of low energy, collective excitations in a quasi-2D, homogenous, dipolar Bose gas at zero temperature, via processes whereby an excitation decays into two excitations with lower energy. We find that owing to…

Quantum Gases · Physics 2013-09-27 Stefan S. Natu , S. Das Sarma

The elastic scattering properties of three bosons at low energy enter the many-body description of ultracold Bose gases via the three-body scattering hypervolume $D$. We study this quantity for identical bosons that interact via a pairwise…

Atomic Physics · Physics 2019-11-25 P. M. A. Mestrom , V. E. Colussi , T. Secker , S. J. J. M. F. Kokkelmans

We study the structural and several quantum properties of three-dimensional bosonic cluster interacting through van der Waals potential at large scattering length. We use Faddeev-type decomposition of the many-body wave function which…

Quantum Gases · Physics 2019-02-04 M. L. Lekala , B. Chakrabarti , S. K. Haldar , R. Roy , G. J. Rampho

We study a dilute and ultracold Bose gas of interacting atoms by using an effective field theory which takes account finite-range effects of the inter-atomic potential. Within the formalism of functional integration from the grand canonical…

Quantum Gases · Physics 2017-04-06 A. Cappellaro , L. Salasnich

We consider a Bose gas in spatial dimension $n>3$ with a repulsive, radially symmetric two-body potential $V$. In the limit of low density $\rho$, the ground state energy per particle in the thermodynamic limit is shown to be $(n-2)|\mathbb…

Mathematical Physics · Physics 2014-03-25 Anders Aaen

A renormalization group method is developed with which thermodynamic properties of a weakly interacting, confined Bose gas can be investigated. Thereby effects originating from a confining potential are taken into account by periodic…

Condensed Matter · Physics 2009-10-31 G. Alber

Van der Waals interactions, as a result of the exchange of photons between particles, can be altered by modifying the environment through which these photons propagate. As a consequence, phenomena such as the Rydberg blockade mechanism…

Atomic Physics · Physics 2018-01-03 Johannes Block , Stefan Scheel