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Non-relativistic interacting bosons at zero temperature, in two and three dimensions, are expected to exhibit a fascinating critical phase, famously known as condensate phase. Even though a proof of Bose-Einstein condensation in the…

Mathematical Physics · Physics 2022-11-16 Giulia Basti , Cristina Caraci , Serena Cenatiempo

As part of our program to develop the description of three-body effects in quantum vacuum phenomena, we study the three-body interaction of two anisotropically polarizable atoms with a perfect electrically conducting plate, a generalization…

Quantum Physics · Physics 2022-03-02 Kimball A. Milton , Elom Abalo , Prachi Parashar , K. V. Shajesh

Using a combination of results from exact mappings and from mean-field theory we explore the phase diagram of quasi-one-dimensional systems of identical fermions with attractive dipolar interactions. We demonstrate that at low density these…

Quantum Gases · Physics 2013-09-12 F. Deuretzbacher , G. M. Bruun , C. J. Pethick , M. Jona-Lasinio , S. M. Reimann , L. Santos

We present a unified kinetic theory that describes the finite-temperature, non-equilibrium dynamics of a Bose-Einstein condensed gas interacting with a thermal cloud. This theory includes binary interactions to second order in the…

Statistical Mechanics · Physics 2007-05-23 J. Wachter , R. Walser , J. Cooper , M. Holland

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 have analytically explored temperature dependence of critical number of particles for the collapse of a harmonically trapped attractively interacting Bose gas below the condensation point by introducing a kinetic approach within the…

Statistical Mechanics · Physics 2012-08-17 Shyamal Biswas

By using a mean field approach, based on the Popov approximation, we calculate the temperature dependence of the condensate fraction of an interacting Bose gas confined in an anisotropic harmonic trap. For systems interacting with repulsive…

Condensed Matter · Physics 2009-10-28 S. Giorgini , L. Pitaevskii , S. Stringari

I consider non-relativistic bosons interacting via pairwise potentials with infinite scattering length and supporting no two-body bound states. To lowest order in effective field theory, these conditions lead to non-interacting bosons,…

Quantum Gases · Physics 2019-07-16 Manuel Valiente

We derive the equation of state of a Bose gas with contact interactions using relativistic quantum field theory. The calculation accounts for both thermal and quantum corrections up to 1-loop order. We work in the Hartree-Fock-Bogoliubov…

High Energy Physics - Theory · Physics 2022-09-14 Anushrut Sharma , Guram Kartvelishvili , Justin Khoury

We present the exact diagonalization study of rotating Bose-condensed gas interacting via finite-range Gaussian potential confined in a quasi-2D harmonic trap. The system of many-body Hamiltonian matrix is diagonalized in given subspaces of…

Quantum Gases · Physics 2023-07-19 Mohd. Imran , M. A. H. Ahsan

A rotating bosonic many-body system in a harmonic trap is studied with the 3D-Cranked Hartree-Fock-Bogoliubov method at zero temperature, which has been applied to nuclear many-body systems at high spin. This method is a variational method…

Other Condensed Matter · Physics 2009-11-13 Nobukuni Hamamoto , Makito Oi , Naoki Onishi

We develop a variational approach at finite temperature that incorporates many-body correlation self-consistently. The grand potential is constructed in terms of Green's function expressed by the variational parameters. We apply this…

Quantum Gases · Physics 2019-05-30 Akimitsu Kirikoshi , Wataru Kohno , Takafumi Kita

Extended Bose-Hubbard models have been employed in the study of cold-atom systems with dipolar interactions. It is shown that, for a certain choice of the coupling parameters, there exists an integrable extended 3-site Bose-Hubbard model…

Quantum Gases · Physics 2025-09-22 Jon Links

We investigate the position- and momentum-space two--body correlations in a weakly interacting, harmonically trapped atomic Bose-Einstein condensed gas at low temperatures. The two-body correlations are computed within the Bogoliubov…

Quantum Gases · Physics 2021-01-13 Salvatore Butera , David Clément , Iacopo Carusotto

We investigated the ground state of spin-1 bosons interacting under local two- and three-body interactions in one dimension by means of the density matrix renormalization group method. We found that the even-odd asymmetry will be obtained…

Quantum Gases · Physics 2019-03-20 A. F. Hincapie-F , R. Franco , J. Silva-Valencia

In the present paper we study the low density Bose gas in the thermodynamic limit interacting via two-body and three-body interaction potentials. We prove that the leading order of the ground state energy is entirely characterised by both…

Mathematical Physics · Physics 2026-01-27 François L. A. Visconti

We study the three-dimensional atomic Bose gas using renormalization group techniques. Using our knowledge of the microscopic details of the interatomic interaction, we determine the correct initial values of our renormalization group…

Condensed Matter · Physics 2009-10-28 M. Bijlsma , H. T. C. Stoof

We investigate a system of dipolar bosons in an optical lattice with local two and three-body interactions. Using the mean-field theory approach, we obtain the ground state phase diagram of the extended Bose-Hubbard (EBH) model with both…

Quantum Gases · Physics 2016-12-21 Manpreet Singh , Tapan Mishra

In this paper, we study the stability of three-dimensional Bose-Einstein condensates of finite temperatures at which both elastic and inelastic collisions are taken into account. The modeled governing Gross-Pitaevski equation reveals…

Quantum Gases · Physics 2025-04-08 R. Sasireka , O. T. Lekeufack , S. Sabari , A. Uthayakumar

In a two-dimensional Bose-Einstein condensate the reduction in dimensionality fundamentally influences collisions between the atoms. In the crossover regime from three to two dimensions several scattering parameters have been considered.…

Statistical Mechanics · Physics 2009-11-10 Christopher Gies , M. D. Lee , D. A. W. Hutchinson
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