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I consider general interacting systems of quantum particles in one spatial dimension. These consist of bosons or fermions, which can have any number of components, arbitrary spin or a combination thereof, featuring low-energy two- and…

Quantum Gases · Physics 2020-11-09 Manuel Valiente

We study a one-dimensional (1D) lattice mixture of hard-core bosons and spinless fermions with attractive interspecies interaction and correlated fermion pair hopping. Using Schrieffer-Wolff (SW) transformation and bosonization, we derive…

Strongly Correlated Electrons · Physics 2025-09-03 Yan-Guang Yue , Qi Song , Jie Lou , Yan Chen

We study the Mott transition of a mixed Bose-Fermi system of ultracold atoms in an optical lattice, where the number of (spinless) fermions and bosons adds up to one atom per lattice, n_F+n_B=1. For weak interactions, a Fermi surface…

Quantum Gases · Physics 2013-05-30 Ehud Altman , Eugene Demler , Achim Rosch

We consider a one dimensional interacting bose-fermi mixture with equal masses of bosons and fermions, and with equal and repulsive interactions between bose-fermi and bose-bose particles. Such a system can be realized in experiments with…

Strongly Correlated Electrons · Physics 2008-05-07 Adilet Imambekov , Eugene Demler

The ground-state phase diagram of mixtures of spin polarized fermions and bosons in a 1D periodic lattice is discussed in the limit of large fermion hopping and half filling of the fermions. Numerical simulations performed with the density…

Other Condensed Matter · Physics 2013-05-29 Alexander Mering , Michael Fleischhauer

We investigate the expansion of bosons and fermions in a homogeneous lattice after a sudden removal of the trapping potential using exact numerical methods. As a main result, we show that in one dimension, both bosonic and fermionic Mott…

Quantum Gases · Physics 2013-12-18 L. Vidmar , S. Langer , I. P. McCulloch , U. Schneider , U. Schollwoeck , F. Heidrich-Meisner

We study the physics of a rapidly-rotating gas of ultracold atomic bosons, with an internal degree of freedom. We show that in the limit of rapid rotation of the trap the problem exactly maps onto that of non-interacting fermions with spin…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 B. Paredes , P. Zoller , J. I. Cirac

We investigate numerically the problem of few (one, two) noninteracting spin$-1/2$ fermions in a shallow harmonic trap coupled via contact repulsive interactions to a uniform one-dimensional bath of lattice bosons, described by the…

Quantum Gases · Physics 2019-12-30 Michael Pasek , Giuliano Orso

We consider a mixture of bosons and spin-polarized fermions in two dimensions at zero temperature with a tunable Bose-Fermi attraction. By adopting a diagrammatic T-matrix approach, we analyze the behavior of several thermodynamic…

Quantum Gases · Physics 2025-03-04 Leonardo Pisani , Pietro Bovini , Fabrizio Pavan , Pierbiagio Pieri

We report the experimental measurement of the equation of state of a two-dimensional Fermi gas with attractive s-wave interactions throughout the crossover from a weakly coupled Fermi gas to a Bose gas of tightly bound dimers as the…

Quantum Gases · Physics 2016-02-02 I. Boettcher , L. Bayha , D. Kedar , P. A. Murthy , M. Neidig , M. G. Ries , A. N. Wenz , G. Zürn , S. Jochim , T. Enss

We consider the photoassociation of a low-density gas of quantum-degenerate trapped fermionic atoms into bosonic molecules in a spherically symmetric harmonic potential. For a dilute system and the photoassociation coupling energy small…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Takahiko Miyakawa , Pierre Meystre

We study a ultra-cold and dilute superfluid Bose-Fermi mixture confined in a strictly one-dimensional atomic waveguide by using a set of coupled nonlinear mean-field equations obtained from the Lieb-Liniger energy density for bosons and the…

Other Condensed Matter · Physics 2009-11-13 Sadhan K. Adhikari , Luca Salasnich

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 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 study the phase diagram of the zero-temperature, one-dimensional Bose-Fermi-Hubbard model for fixed fermion density in the limit of small fermionic hopping. This model can be regarded as an instance of a disordered Bose-Hubbard model…

Other Condensed Matter · Physics 2009-11-13 A. Mering , M. Fleischhauer

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

We propose a multi-band Fermi-Bose Hubbard model with on-site fermion-boson conversion and general filling factor in three dimensions. Such a Hamiltonian models an atomic Fermi gas trapped in a lattice potential and subject to a Feshbach…

Other Condensed Matter · Physics 2009-11-11 L. D. Carr , M. J. Holland

We study the stability of a Bose-Fermi system loaded into an array of coupled one-dimensional (1D) "tubes", where bosons and fermions experience different dimensions: Bosons are heavy and strongly localized in the 1D tubes, whereas fermions…

Quantum Gases · Physics 2013-09-10 E. Malatsetxebarria , F. M. Marchetti , M. A. Cazalilla

The boson-fermion model, describing a mixture of itinerant electrons hybridizing with tightly bound electron pairs represented as hard-core bosons, is here generalized with the inclusion of a term describing on-site Coulomb repulsion…

Strongly Correlated Electrons · Physics 2009-11-07 Alfonso Romano

Bosonic atoms confined in optical lattices are described by the Bose-Hubbard model and can exist in two different phases, Mott insulator or superfluid, depending on the strength of the system parameters. In the vicinity of the phase…

Quantum Gases · Physics 2020-07-30 Felipe Taha Sant'Ana