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Interacting mixtures of bosons and fermions are ubiquitous in nature. They form the backbone of the standard model of physics, provide a framework for understanding quantum materials and are of technological importance in helium dilution…

We create atom-molecule superpositions in a Bose-Fermi mixture of Rb-87 and K-40 atoms. The superpositions are generated by ramping an applied magnetic field near an interspecies Fano-Feshbach resonance to coherently couple atom and…

Other Condensed Matter · Physics 2015-05-13 M. L. Olsen , J. D. Perreault , T. D. Cumby , D. S. Jin

We study the quantum Hall effect in graphene at filling factors \nu = 0 and \nu = \pm, concentrating on the quantum Hall ferromagnetic regime, within a non-perturbative bosonization formalism. We start by developing a bosonization scheme…

Mesoscale and Nanoscale Physics · Physics 2008-11-14 R. L. Doretto , C. Morais Smith

We discuss the theory of mixtures of Bosonic and Fermionic atoms in periodic potentials at zero temperature. We derive a general Bose--Fermi Hubbard Hamiltonian in a one--dimensional optical lattice with a superimposed harmonic trapping…

Condensed Matter · Physics 2007-05-23 Alexander Albus , Fabrizio Illuminati , Jens Eisert

The parton theory constructs candidate fractional quantum Hall states by decomposing the physical particles into unphysical partons, placing the partons in integer quantum Hall states, and then gluing the partons back into the physical…

Strongly Correlated Electrons · Physics 2024-12-13 Koji Kudo , Jonathan Schirmer , Jainendra K. Jain

We study possible many body phenomena in the Quantum Anomalous Hall system of weakly interacting spinor bosons in a square lattice. There are various novel spin-bond correlated superfluids (SF) and quantum or topological phase transitions…

Quantum Gases · Physics 2017-12-01 Fadi Sun , Junsen Wang , Jinwu Ye , Shaui Chen , Youjin Deng

A quantum statistical theory is developed for a fractional quantum Hall effects in terms of composite bosons (fermions) each of which contains a conduction electron and an odd (even) number of fluxons. The cause of the QHE is by assumption…

Mesoscale and Nanoscale Physics · Physics 2013-04-30 Shigeji Fujita , Akira Suzuki , H. C. Ho

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

The fractional quantum Hall states are non-Fermi liquids of electrons, in that their ground states and low energy excitations are described not in terms of electrons but in terms of composite fermions which are bound states of electrons and…

Strongly Correlated Electrons · Physics 2024-06-24 Mytraya Gattu , G. J. Sreejith , J. K. Jain

The Kondo effect is associated with the formation of a many-body ground state that contains a quantum-mechanical entanglement between a (localized) fermion and the free fermions. We show that a bosonic version of the Kondo effect can occur…

Statistical Mechanics · Physics 2014-10-13 G. M. Falco , R. A. Duine , H. T. C. Stoof

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 propose an experimental scheme to simulate the many-body dynamical quantum Hall effect with ultra-cold bosonic atoms in a one-dimensional optical lattice. We first show that the required model Hamiltonian of a spin-1/2 Heisenberg chain…

Quantum Gases · Physics 2016-04-19 Dan-Wei Zhang , Xu-Chen Yang

Divergence-free pseudopotentials for spatially even and odd-wave interactions in spinor Fermi gases in tight atom waveguides are derived. The Fermi-Bose mapping method is used to relate the effectively one-dimensional fermionic many-body…

Soft Condensed Matter · Physics 2009-11-10 M. D. Girardeau , M. Olshanii

We investigate the one-dimensional mixture of scalar bosons and spin polarized fermions interacting through a $\delta$-function potential. Using a thermodynamic description derived by employing a lattice embedding of the continuum model and…

Quantum Gases · Physics 2019-02-08 Ovidiu I. Patu , Andreas Klumper

Cold atomic gases of interacting bosons subject to rapid rotation and confined in anharmonic traps can theoretically exhibit analogues of the fractional quantum Hall effect for electrons in strong magnetic fields. In this setting the…

Mathematical Physics · Physics 2022-09-29 Nicolas Rougerie , Jakob Yngvason

We reveal a quantum coherent state characterized by composite bosonic trions, wherein paired fermions further bind with bosons, in one-dimensional Bose-Fermi mixtures.This phase emerges in two separate models, both featuring onsite…

Quantum Gases · Physics 2025-07-04 Qi Song , Jie Lou , Yan Chen

We consider the formation of bright solitons in a mixture of Bose and Fermi degenerate gases confined in a three-dimensional elongated harmonic trap. The Bose and Fermi atoms are assumed to effectively attract each other whereas bosonic…

Other Condensed Matter · Physics 2007-05-23 Tomasz Karpiuk , Miroslaw Brewczyk , Kazimierz Rzazewski

We investigate an imbalanced mixture composed of two-color fermions and scalar bosons in the hard-core limit, considering repulsive and attractive interspecies and intraspecies interactions. The interplay between commensurability, repulsive…

Quantum Gases · Physics 2021-02-10 R. Guerrero-Suarez , J. J. Mendoza-Arenas , R. Franco , J. Silva-Valencia

We present an exact scheme of bosonization for anyons (including fermions) in the two-dimensional manifold of the quantum Hall fluid. This gives every fractional quantum Hall phase of the electrons one or more dual bosonic descriptions. For…

Mesoscale and Nanoscale Physics · Physics 2021-09-22 Bo Yang

We propose the creation and investigation of a system of spin-one fermions in the presence of artificial spin-orbit coupling, via the interaction of three hyperfine states of fermionic atoms to Raman laser fields. We explore the emergence…

Quantum Gases · Physics 2016-09-22 Doga Murat Kurkcuoglu , C. A. R. Sa de Melo
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