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We construct a many-body Gaussian variational approach for the two-dimensional trapped Bose gas in the condensate phase. Interaction between particles is modelized by a generalized pseudo-potential of zero range that allows recovering…

Other Condensed Matter · Physics 2009-11-10 Ludovic Pricoupenko

The properties of ultracold atomic Bose-Fermi mixtures in external potentials are investigated and the existence of gap solitons of Bose-Fermi mixtures in optical lattices demonstrated. Using a self-consistent approach we compute the energy…

Other Condensed Matter · Physics 2009-11-11 Mario Salerno

The zero range potential is constructed for a system of two particles interacting via the Coulomb potential. The singular part of the asymptote of the wave function at the origin which is caused by the common effect of the zero range…

Atomic Physics · Physics 2015-06-05 S. L. Yakovlev , V. A. Gradusov

We study the thermodynamics of a two-species homogeneous and dilute Bose gas that is self-interacting and quadratically coupled to each other. We make use of field theoretical functional integral techniques and evaluate the one-loop finite…

Other Condensed Matter · Physics 2007-05-23 Marcus Benghi Pinto , Rudnei O. Ramos , Frederico F. de Souza Cruz

Strongly interacting particles in one dimension subject to external confinement have become a topic of considerable interest due to recent experimental advances and the development of new theoretical methods to attack such systems. In the…

Quantum Physics · Physics 2020-09-10 A. S. Dehkharghani , A. G. Volosniev , N. T. Zinner

We investigate a Bose-Fermi mixture in a three-dimensional optical lattice, trapped in a harmonic potential. Using Generalized Dynamical Mean-Field theory, which treats the Bose-Bose and Bose-Fermi interaction in a fully non-perturbative…

Quantum Gases · Physics 2011-04-18 Michiel Snoek , Irakli Titvinidze , Immanuel Bloch , Walter Hofstetter

Few-atom systems play an important role in understanding the transition from few- to many-body quantum behaviors. This work introduces a new approach for determining the energy spectra and eigenstates of small harmonically trapped…

Quantum Gases · Physics 2025-09-04 J. D. Norris , D. Blume

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

We consider dilute gases of dipolar bosons or fermions in the high-temperature limit in a spherically symmetric harmonic trapping potential. We examine the system using a virial expansion up to second order in the fugacity. Using the Born…

Quantum Gases · Physics 2015-06-18 K. M. Daily , D. Blume

Recent experimental realization of dipolar Fermi gases near or below quantum degeneracy provides opportunity to engineer Hubbard-like models with long range interactions. Motivated by these experiments, we chart out the theoretical phase…

Quantum Gases · Physics 2012-04-10 S. G. Bhongale , L. Mathey , Shan-Wen Tsai , Charles W. Clark , Erhai Zhao

The Bose condensate in an external potential is treated in the Thomas-Fermi approximation.

Condensed Matter · Physics 2007-05-23 K. Huang

Strongly correlated quantum particles in lattice potentials are the building blocks for a large variety of quantum insulators, for instance Mott phases and density waves breaking the lattice symmetry. Such collective states are accessible…

Strongly Correlated Electrons · Physics 2022-11-04 Camille Lagoin , Stephan Suffit , Kirk Baldwin , Loren Pfeiffer , Francois Dubin

We consider a non-interacting Fermi gas in a combined harmonic and periodic potential. We calculate the energy spectrum and simulate the motion of the gas after sudden replacement of the trap center. For different parameter regimes, the…

Soft Condensed Matter · Physics 2009-11-10 V. Ruuska , P. Torma

A central challenge in modern condensed matter physics is developing the tools for understanding nontrivial yet unordered states of matter. One important idea to emerge in this context is that of a "pseudogap": the fact that under…

Quantum Gases · Physics 2017-09-27 Erich J. Mueller

In this paper we study a mixed system of bosons and fermions with up to six particles in total. All particles are assumed to have the same mass. The two-body interactions are repulsive and are assumed to have equal strength in both the…

Quantum Gases · Physics 2017-06-20 A. S. Dehkharghani , F. F. Bellotti , N. T. Zinner

Ultracold polar molecules offer the possibility of exploring quantum gases with interparticle interactions that are strong, long-range, and spatially anisotropic. This is in stark contrast to the dilute gases of ultracold atoms, which have…

Atomic Physics · Physics 2015-05-18 K. -K. Ni , S. Ospelkaus , D. Wang , G. Quemener , B. Neyenhuis , M. H. G. de Miranda , J. L. Bohn , J. Ye , D. S. Jin

Dynamical properties of homogeneous Fermi-Fermi mixtures of dipolar and non-dipolar atoms are studied at zero temperature, where dipoles are polarized by an external field. We calculate the density-density correlation functions in a…

Quantum Gases · Physics 2024-04-24 Takahiko Miyakawa , Eiji Nakano , Hiroyuki Yabu

We study zero sound in a weakly interacting 2D gas of single-component fermionic dipoles (polar molecules or atoms with a large magnetic moment) tilted with respect to the plane of their translational motion. It is shown that the…

Quantum Gases · Physics 2013-09-24 Zhen-Kai Lu , S. I. Matveenko , G. V. Shlyapnikov

We consider a ring-shaped triple-well potential with few polar bosons with in-plane dipole orientation. By diagonalizing the extended Bose-Hubbard Hamiltonian, we investigate the ground state properties of the system as we rotate the dipole…

We investigate the properties of a degenerate dilute gas of neutral fermionic particles in a harmonic trap that interact via dipole-dipole forces. We employ the semiclassical Thomas-Fermi method and discuss the Dirac correction to the…

Condensed Matter · Physics 2007-05-23 K. Goral , Berthold-Georg Englert , K. Rzazewski
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