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We study the dynamics of a non-integrable system comprising interacting cold bosons trapped in an optical lattice in one-dimension by means of exact time-dependent numerical DMRG techniques. Particles are confined by a parabolic potential,…

Other Condensed Matter · Physics 2009-11-13 Simone Montangero , Rosario Fazio , Peter Zoller , Guido Pupillo

We apply the bosonization technique to derive the phase diagram of a balanced unit density two-component dipolar Fermi gas in a one dimensional lattice geometry. The considered interaction processes are of the usual contact and dipolar…

Strongly Correlated Electrons · Physics 2017-12-13 Serena Fazzini , Luca Barbiero , Arianna Montorsi

We present an effective potential and the corresponding modified Gross-Pitaevskii equation that account for the energy dependence of the two-body scattering amplitude through an effective-range expansion. For the ground state energy of a…

Statistical Mechanics · Physics 2009-11-10 Haixiang Fu , Yuzhu Wang , Bo Gao

It is known from the solution of the two-body problem that an anisotropic dipolar interaction can give rise to s-wave scattering resonances, which are named as dipolar interaction induced resonaces (DIIR). In this letter, we study…

Quantum Gases · Physics 2013-01-28 Ran Qi , Zhe-Yu Shi , Hui Zhai

We propose a pseudopotential for the electron-electron Coulomb interaction to improve the efficiency of many-body electronic structure calculations. The pseudopotential accurately replicates the scattering properties of the Coulomb…

Strongly Correlated Electrons · Physics 2015-09-02 J. H. Lloyd-Williams , R. J. Needs , G. J. Conduit

We investigate theoretically the many-body pairing of a strongly correlated two-dimensional Fermi gas with and without negative confinement-induced effective range. Using a strong-coupling effective field theory in the normal state, we show…

Quantum Gases · Physics 2020-07-22 Brendan C. Mulkerin , Xia-Ji Liu , Hui Hu

Interacting two component Fermi gases are at the heart of our understanding of macroscopic quantum phenomena like superconductivity. Changing nature of the interaction is expected to head to novel quantum phases. Here we study the ground…

Quantum Gases · Physics 2015-06-16 Przemyslaw Bienias , Krzysztof Pawlowski , Tilman Pfau , Kazimierz Rzazewski

We consider an interacting, one-dimensional Bose gas confined in a split trap, obtained by an harmonic potential with a localized barrier at its center. We address its quantum-transport properties through the study of dipolar oscillations,…

Quantum Gases · Physics 2015-11-10 Marco Cominotti , Frank Hekking , Anna Minguzzi

The energy spectrum and corresponding wave functions of two bosonic particles confined in a spherically symmetric shell trap and interacting via a three-dimensional zero-range potential are computed. Confinement-induced resonances,…

Quantum Physics · Physics 2025-07-01 C. Moritz Carmesin , Maxim A. Efremov

We perform a theoretical study into how dipole-dipole interactions modify the properties of superfluid vortices within the context of a two-dimensional atomic Bose gas of co-oriented dipoles. The reduced density at a vortex acts like a…

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

Possible signatures of a super-Tonks-Girardeau gas in bosonic systems of trapped quasi-one-dimensional dipoles are discussed at zero temperature. We provide estimation of the frequency of the lowest compressional mode and compare it to…

Other Condensed Matter · Physics 2009-11-13 G. E. Astrakharchik , Yu. E. Lozovik

We consider homogeneous Bose gas in a large cubic box with periodic boundary conditions interacting with a small potential with a positive Fourier transform. We compute the imaginary part of the phononic excitation spectrum in the lowest…

Mathematical Physics · Physics 2026-02-27 Jan Dereziński , Lorenzo Pettinari

Trapped degenerate dipolar Bose and Fermi gases of cylindrical symmetry with the polarization vector along the symmetry axis are only stable for the strength of dipolar interaction below a critical value. In the case of bosons, the…

Quantum Gases · Physics 2016-11-26 S. K. Adhikari

Homogeneous quantum gases open up new possibilities for studying many-body phenomena and have now been realised for a variety of systems. For gases with short-range interactions the way to make the cloud homogeneous is, predictably, to trap…

Quantum Gases · Physics 2022-06-10 Péter Juhász , Milan Krstajić , David Strachan , Edward Gandar , Robert P. Smith

Long range dipolar effects in 1D systems either in free or inhomogeneous space are the basis of the state preparation protocol here proposed. Under the presence of an external time-dependent magnetic field, dipole-dipole interactions in the…

Quantum Gases · Physics 2024-07-31 C. Madroñero , R. Paredes

Probing the radial collective oscillation of a trapped quantum system is an accurate experimental tool to investigate interactions and dimensionality effects. We consider a fully polarized quasi-one dimensional dipolar quantum gas of…

Quantum Gases · Physics 2021-03-09 S. De Palo , E. Orignac , M. L. Chiofalo , R. Citro

By means of the Boltzmann-Vlasov kinetic equation we investigate dynamical properties of a trapped, one-component Fermi gas at zero temperature, featuring the anisotropic and long-range dipole-dipole interaction. To this end, we determine…

Quantum Gases · Physics 2017-10-13 F. Waechtler , A. R. P. Lima , A. Pelster

The problem of confinement of neutral fermions in two-dimensional space-time is approached with a pseudoscalar double-step potential in the Dirac equation. Bound-state solutions are obtained when the coupling is of sufficient intensity. The…

High Energy Physics - Theory · Physics 2009-11-10 Antonio S. de Castro , Wiliam G. Pereira

We study normal state properties of an interacting Fermi gas in an isotropic harmonic trap of arbitrary dimensions. We exactly calculate the first-order perturbation terms in the ground state energy and chemical potential, and obtain simple…

Statistical Mechanics · Physics 2009-11-07 Hiroyuki Yoshimoto , Susumu Kurihara

We evaluate the small-amplitude excitations of a spin-polarized vapour of Fermi atoms confined inside a harmonic trap. The dispersion law $\omega=\omega_{f}[l+4n(n+l+2)/3]^{1/2}$ is obtained for the vapour in the collisional regime inside a…

Statistical Mechanics · Physics 2009-10-31 M. Amoruso , I. Meccoli , A. Minguzzi , M. P. Tosi