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We theoretically investigate equal-mass spin-balanced two-component Fermi gases in which pairs of atoms with opposite spins interact via a short-range isotropic model potential. We probe the distinction between two-dimensional and…

Quantum Gases · Physics 2025-06-27 Emma K. Laird , Brendan C. Mulkerin , Jia Wang , Matthew J. Davis

Structural and dynamic correlations in the ground state of the one-dimensional Fermi one-component plasma are studied by Quantum Monte Carlo simulations. Results are presented for the pair correlation function, static structure factor, the…

Strongly Correlated Electrons · Physics 2026-05-27 Massimo Boninsegni

This work contains a detailed analysis of the properties of the ground state of a two-component two-sites Bose-Hubbard model, which captures the physics of a binary mixture of Bose-Einstein condensates trapped in a double-well potential.…

Quantum Gases · Physics 2016-04-25 Pere Mujal , Bruno Juliá-Díaz , Artur Polls

Exact calculations are performed on the two-dimensional strongly interacting, unpolarized, uniform Fermi gas with a zero-range attractive interaction. Two auxiliary-field approaches are employed which accelerate the sampling of…

Quantum Gases · Physics 2016-03-22 Hao Shi , Simone Chiesa , Shiwei Zhang

We investigate the ground state properties of a one-dimensional two-component ultra-cold Fermi gas in an infinite potential well. Exact Bethe ansatz solution is used to calculate the many-body wave function of the system. Then we evaluate…

Statistical Mechanics · Physics 2008-07-15 Bo-Bo Wei , Jun-Peng Cao , Shi-Jian Gu , Hai-Qing Lin

A phenomenological method based on the natural orbital representation is applied to construct the ground state one-body density matrix which describes correctly both density and momentum distributions in $^{4}He$, $^{16}O$ and $^{40}Ca$…

We investigate low-density, quantum-degenerate gases in the presence of a localised attractive potential in the centre of a one-dimensional harmonic trap.The attractive potential is modelled using a parameterised delta-function, allowing us…

Quantum Physics · Physics 2008-06-30 J. Goold , D. O Donoghue , Th. Busch

We consider a mixture of two species of spin-1 atoms with interspecies spin exchange, which may cooperate or compete with the intraspecies spin exchanges and thus dramatically affect the ground state. It represents a new class of bosonic…

Quantum Gases · Physics 2015-05-14 Yu Shi

A model of two Calogero-Sutherland Bose gases A and B with strong odd-wave AB attractions induced by a p-wave AB Feshbach resonance is studied. The ground state wave function is found analytically by a Bose-Bose duality mapping, which…

Quantum Gases · Physics 2013-05-29 M. D. Girardeau , G. E. Astrakharchik

We derive general approximate formulas that provide with remarkable accuracy the ground-state properties of any mean-field scalar Bose-Einstein condensate with short-range repulsive interatomic interactions, confined in arbitrary…

Other Condensed Matter · Physics 2016-08-14 A. Muñoz Mateo , V. Delgado

We present a new, simple renormalization group method of investigating groundstate properties of interacting bosonic systems. Our method reduces the number of particles in a system, which makes numerical calculations possible for large…

Statistical Mechanics · Physics 2013-05-29 Roman Werpachowski , Jerzy Kijowski

We study the ground state phase diagram of population balanced and imbalanced ultracold atomic Fermi gases with a short range attractive interaction throughout the crossover from BCS to Bose-Einstein condensation (BEC), in a two-dimensional…

Quantum Gases · Physics 2022-08-10 Lin Sun , Qijin Chen

We study the density-wave states of quasi-one-dimensional atomic gas mixture of one- and two-component boson and fermion using the mean-field approximation. Owing to the Peierls instability in the quasi-one-dimensional fermion system, the…

Other Condensed Matter · Physics 2009-11-10 E. Nakano , H. Yabu

When calculating the ground-state energy of a weakly interacting Bose gas with the help of the customary contact pseudopotential, one meets an artifical ultraviolet divergence which is caused by the incorrect treatment of the true…

Statistical Mechanics · Physics 2007-05-23 Andre Eckardt , Christoph Weiss , Martin Holthaus

We study the ground state quantum phase diagram for a two species Bose mixture in a one-dimensional optical lattice using the finite size density matrix renormalization group(FSDMRG) method. We discuss our results for different combinations…

Statistical Mechanics · Physics 2009-11-11 T. Mishra , Ramesh V. Pai , B. P. Das

We consider a two-component Bose-Bose mixture at strong repulsive interactions in a tightly confining, one-dimensional ring trap and subjected to an artificial gauge field. By employing the Bethe Ansatz exact solution for the many-body…

Static properties of a bose-fermi mixture of trapped potassium atoms are studied in terms of coupled Gross-Pitaevskii and Thomas-Fermi equations for both repulsive and attractive bose-fermi interatomic potentials. Qualitative estimates are…

Condensed Matter · Physics 2009-10-31 T. Miyakawa , K. Oda , T. Suzuki , H. Yabu

The relations among the occupation number of the lowest natural orbital (ONLNO), momentum distributions (MD) and off-diagonal long-range element (ODLRE) of the reduced single-particle density matrix (RSPDM) are studied while Tonks-Girardeau…

Quantum Gases · Physics 2012-08-08 Wang Zhao-Liang , Wang An-Min , Li Xue-Chao

We theoretically investigate strong-coupling properties of a Bose-Fermi mixture. In the mass- and population-balanced case, two of the authors have shown that a strong hetero-pairing interaction in this mixture brings about coupling…

Quantum Gases · Physics 2019-12-11 Koki Manabe , Daisuke Inotani , Yoji Ohashi

We discuss an equilibrium mean-field properties of mixtures consisting of bosons and spin-polarized fermionic atoms with a point-like interaction in an arbitrary dimension $2<d<4$. Particularly, we discuss except the standard weak-coupling…

Quantum Gases · Physics 2023-05-10 O. Hryhorchak , V. Pastukhov