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When a system consisting of many interacting particles is set rotating, it may form vortices. This is familiar to us from every-day life: you can observe vortices while stirring your coffee or watching a hurricane. In the world of quantum…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 M. Toreblad , M. Borgh , M. Koskinen , M. Manninen , S. M. Reimann

We investigate local quantum field theories for one-dimensional (1D) Bose and Fermi gases with contact interactions, which are closely connected with each other by Girardeau's Bose-Fermi mapping. While the Lagrangian for bosons includes…

Quantum Gases · Physics 2021-04-09 Yuta Sekino , Yusuke Nishida

We study the properties of rotating Bose-Einstein condensates in parabolic traps, with coherence length large compared to the system size. In this limit, it has been shown that unusual groundstates form which cannot be understood within a…

Condensed Matter · Physics 2009-10-31 N. R. Cooper , N. K. Wilkin

Cooper's original one pair problem in continuum is revisited here corresponding to a lattice of tight binding nature, with an aim to investigate superconductivity in low dimensional systems. An electronic type of boson mediated attraction…

Superconductivity · Physics 2014-04-24 Soumi Roy Chowdhury , Ranjan Chaudhury

Fermi gases confined in tight one-dimensional waveguides form two-particle bound states of atoms in the presence of a strongly attractive interaction. Based on the exact solution of the one-dimensional spin-1/2 interacting Fermi gas, we…

Quantum Gases · Physics 2015-03-17 Liming Guan , Shu Chen

For a quantum system of N identical, harmonically interacting particles in a one-dimensional harmonic trap we calculate for the bosonic and fermionic ground state the corresponding 1-particle reduced density operator $\rho_1$ analytically.…

Quantum Physics · Physics 2015-06-16 Christian Schilling

We propose the density-functional theory for one-dimensional harmonically trapped spin-1 bosons in the ground state with repulsive density-density interaction and anti-ferromagnetic spin-exchange interaction. The density distributions of…

Quantum Gases · Physics 2017-04-06 Hongmei Wang , Yunbo Zhang

Boson-fermion pairing is considered in a discrete environment of bosons and fully spin-polarized fermions, coupled via an attractive Bose-Fermi Hubbard Hamiltonian in one dimension. The results of the T-matrix approximation for particles of…

Other Condensed Matter · Physics 2009-11-13 X. Barillier-Pertuisel , S. Pittel , L. Pollet , P. Schuck

We determine the finite-temperature momentum distribution of a strongly interacting 1D Bose gas in the Tonks-Girardeau (impenetrable-boson) limit under harmonic confinement, and explore its universal properties associated to the scale…

Quantum Gases · Physics 2013-02-11 Patrizia Vignolo , Anna Minguzzi

We study 1D fermions with photoassociation or with a narrow Fano-Feshbach resonance described by the Boson-Fermion resonance model. Using thebosonization technique, we derive a low-energy Hamiltonian of the system. We show that at low…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Edmond Orignac , Roberta Citro

The structure of binary mixtures of bosonic and fermionic atoms in an external trapping potential at zero temperature is studied on the basis of a modified Gross-Pitaevskii equation for the bosonic component which self-consistently includes…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Robert Roth

We construct the exact time dependent density profile for a superposition of the ground and singly excited states of a harmonically trapped one dimensional Bose-Einstein condensate in the limit of strongly interacting particles, the…

Quantum Physics · Physics 2016-04-13 Mihaly G. Benedict , Csaba Benedek , Attila Czirjak

It is known that elementary bosons condense in a unique state, not so much because this state has the lowest free particle energy but because it costs a macroscopic amount of energy to put the particles into different states which can then…

Other Condensed Matter · Physics 2009-11-13 M. Combescot , D. W. Snoke

We consider the deformed Bose gas model with the deformation structure function that is the combination of a q-deformation and a quadratically polynomial deformation. Such a choice of the unifying deformation structure function enables us…

Mathematical Physics · Physics 2013-12-20 A. M. Gavrilik , Yu. A. Mishchenko

The superconducting properties of the 2D fermion system with local and different types of the indirect boson-exchange attractions in the cases of s-wave and d-wave pairing are reviewed and analysed at T=0. In particular, the possibility of…

Superconductivity · Physics 2007-05-23 V. M. Loktev , V. Turkowski

We study a mixture of a repulsive dipolar condensate and a degenerate Fermi gas in a quasi-one-dimensional geometry. We demonstrate that the presence of fermions, which attract bosons, drastically changes the behavior of the dipolar…

Quantum Gases · Physics 2025-01-10 Maciej Lewkowicz , Tomasz Karpiuk , Mariusz Gajda , Mirosław Brewczyk

In the present paper we investigate the Tonks-Girardeau gas confined in a harmonic trap at finite temperature with thermal Bose-Fermi mapping method. The pair distribution, density distribution, reduced one-body density matrix, the…

Quantum Gases · Physics 2016-12-21 Yajiang Hao , Yafei Song , Xiaochen Fu

We investigate the Bose-Einstein condensation of fermionic pairs in a two-dimensional uniform two-component Fermi superfluid obtaining an explicit formula for the condensate density as a function of the chemical potential and the energy…

Statistical Mechanics · Physics 2009-11-13 Luca Salasnich

A long-standing problem with the many-body approximations for interacting condensed bosons has been the dichotomy between the ``conserving'' and ``gapless'' approximations, which either obey the conservations laws or satisfy the…

Superconductivity · Physics 2007-05-23 G. C. Strinati , P. Pieri

We investigate the ground-state properties of two-component Bose gases confined in one-dimensional harmonic traps in the scheme of density-functional theory. The density-functional calculations employ a Bethe-ansatz-based local-density…

Strongly Correlated Electrons · Physics 2009-10-15 Yajiang Hao , Shu Chen