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We consider the zero-temperature van der Waals interaction between two molecules, each of which has a zero or near-zero electronic gap between a groundstate and the first excited state, using a toy model molecule ( equilateral H3) as an…

Other Condensed Matter · Physics 2016-12-21 John F. Dobson , Andreas Savin , Janos G. Angyan , Ru-Fen Liu

Experimental studies with ultracold atoms have enabled major breakthroughs in understanding three-body physics, historically a fundamental yet challenging problem. This is because the interactions among ultracold atoms can be precisely…

Atomic Physics · Physics 2014-11-05 Yujun Wang , Paul S. Julienne

We present time-resolved spectroscopic measurements of Rydberg-Rydberg interactions in an ultracold gas, revealing the pair dynamics induced by long-range van der Waals interactions between the atoms. By detuning the excitation laser, a…

Atomic Physics · Physics 2015-06-26 T. Amthor , M. Reetz-Lamour , S. Westermann , J. Denskat , M. Weidemüller

Using a unified macroscopic QED formalism, we derive an integral equation for the van der Waals energy of a two-level atomic system near a carbon nanotube. The equation is valid for both strong and weak atom-vacuum-field coupling. By…

Mesoscale and Nanoscale Physics · Physics 2015-06-24 Igor Bondarev , Philippe Lambin

We present vortex solutions for the homogeneous two-dimensional Bose-Einstein condensate featuring dipolar atomic interactions, mapped out as a function of the dipolar interaction strength (relative to the contact interactions) and…

Quantum Gases · Physics 2014-11-19 B. C. Mulkerin , D. H. J. O'Dell , A. M. Martin , N. G. Parker

In this paper, we develop a large-$N$ field theory for a system of $N$ classical particles in one dimension at thermal equilibrium. The particles are confined by an arbitrary external potential, $V_\text{ex} (x)$, and repel each other via a…

Statistical Mechanics · Physics 2020-10-23 Avanish Kumar , Manas Kulkarni , Anupam Kundu

Consider $N$ bosons in a finite box $\Lambda= [0,L]^3\subset \bR^3$ interacting via a two-body nonnegative soft potential $V= \lambda \tilde V$ with $\tilde V$ fixed and $\lambda>0$ small. We will take the limit $L, N \to \infty$ by keeping…

Mathematical Physics · Physics 2009-11-13 Laszlo Erdos , Benjamin Schlein , Horng-Tzer Yau

We investigate the dynamical instabilities of an ultracold Bose-Bose mixture with long-range dipole-dipole interactions, trapped in deep optical lattices and subject to periodically varying contact interaction. The effect of…

Quantum Gases · Physics 2025-03-25 Etienne Wamba , Jeremie Bai , A. Serge Tchakoutio Nguetcho

The cubic nonlinear Schrodinger equation with a lattice potential is used to model a periodic dilute gas Bose-Einstein condensate. Both two- and three-dimensional condensates are considered, for atomic species with either repulsive or…

Condensed Matter · Physics 2007-05-23 Bernard Deconinck , Bela A. Frigyik , J. Nathan Kutz

We investigate the zero-temperature properties of a diluted homogeneous Bose gas made of $N$ particles interacting via a two-body square-well potential by perfor ming Monte Carlo simulations. We tune the interaction strength to achieve…

Quantum Gases · Physics 2014-04-21 Maurizio Rossi , Luca Salasnich , Francesco Ancilotto , Flavio Toigo

Repulsive short-range and attractive long-range van der Waals (vdW) forces have an appreciable role in the behavior of extended molecular systems. When using empirical force fields - the most popular computational methods applied to such…

Chemical Physics · Physics 2023-09-27 Almaz Khabibrakhmanov , Dmitry V. Fedorov , Alexandre Tkatchenko

A microscopic description of the zero energy two-body ground state and many-body static properties of anisotropic homogeneous gases of bosonic dipoles in two dimensions at low densities is presented and discussed. By changing the…

Quantum Gases · Physics 2015-05-28 A. Macia , F. Mazzanti , J. Boronat , R. E. Zillich

Using the finite-temperature path integral Monte Carlo method, we investigate dilute, trapped Bose gases in a quasi-two dimensional geometry. The quantum particles have short-range, s-wave interactions described by a hard-sphere potential…

Statistical Mechanics · Physics 2009-11-11 Kwangsik Nho , D. P. Landau

Dispersion interactions such as the van der Waals interaction between atoms or molecules derive from quantum fluctuations of the electromagnetic field and can be understood as the exchange of virtual photons between the interacting…

Quantum Physics · Physics 2015-06-11 Harald R. Haakh , Stefan Scheel

When an impurity is immersed in a Bose-Einstein condensate, impurity-boson interactions are expected to dress the impurity into a quasiparticle, the Bose polaron. We superimpose an ultracold atomic gas of $^{87}$Rb with a much lower density…

Through an effective quantum field theory within Bogoliubov's framework and taking into account nonuniversal effects of the interatomic potential we analytically derive the leading Gaussian zero- and finite-temperature corrections to the…

Quantum Gases · Physics 2025-03-05 Emerson Chiquillo

We present a phase diagram for a dilute two-dimensional Bose-gas on a lattice. For one sort of boson we consider a realistic case of the van der Waals interaction between particles with a strong hard-core repulsion $U$ and a van der Waals…

Strongly Correlated Electrons · Physics 2009-11-07 M. Yu. Kagan , D. V. Efremov

Bosonic atoms confined in optical lattices are described by the Bose-Hubbard model and can exist in two different phases, Mott insulator or superfluid, depending on the strength of the system parameters. In the vicinity of the phase…

Quantum Gases · Physics 2020-07-30 Felipe Taha Sant'Ana

We prove that the grand canonical Gibbs state of an interacting quantum Bose gas converges to the Gibbs measure of a nonlinear Schr\"odinger equation in the mean-field limit, where the density of the gas becomes large and the interaction…

Mathematical Physics · Physics 2021-06-22 Jürg Fröhlich , Antti Knowles , Benjamin Schlein , Vedran Sohinger

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
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