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We consider the photodissociation of ground-state bosonic molecules trapped in an optical lattice potential into two-component fermionic atoms. The system is assumed to be described by a one-band resonantly-coupled Bose-Fermi Hubbard model.…

Other Condensed Matter · Physics 2009-11-11 Takahiko Miyakawa , Pierre Meystre

Mixtures of bosonic and fermionic atoms in optical lattices provide a promising arena to study strongly correlated systems. In experiments realizing such mixtures in the quantum degenerate regime the temperature is a key parameter. In this…

Statistical Mechanics · Physics 2008-05-16 M. Cramer , S. Ospelkaus , C. Ospelkaus , K. Bongs , K. Sengstock , J. Eisert

The exact solution of the 1D interacting mixed Bose-Fermi gas is used to calculate ground-state properties both for finite systems and in the thermodynamic limit. The quasimomentum distribution, ground-state energy and generalized…

Statistical Mechanics · Physics 2007-05-23 M. T. Batchelor , M. Bortz , X. W. Guan , N. Oelkers

The Jordan-Wigner transformation is traditionally applied to one dimensional systems, but recent works have generalized the transformation to fermionic lattice systems in higher dimensions while keeping locality manifest. These developments…

Strongly Correlated Electrons · Physics 2021-08-24 Hoi Chun Po

We use the two mode approximation for a interacting one-dimensional spinless soft core bosons and one half spin fermions in a double-well potential with a large central barrier. We include all the on-site boson-boson, fermion-fermion and…

Quantum Gases · Physics 2021-10-22 J. Nisperuza , JP Rubio , R. Avella

We examine the density profiles of the quantum degenerate Bose-Fermi mixture of $^{174}$Yb-$^{173}$Yb, experimental observed recently, in the mean field regime. In this mixture there is a possibility of tuning the Bose-Bose and Bose-Fermi…

Quantum Gases · Physics 2011-02-21 S. Gautam , P. Muruganandam , D. Angom

We give a detailed discussion of the recently developed Generalized Dynamical Mean-Field Theory (GDMFT) for a mixture of bosonic and fermionic particles. We show that this method is non-perturbative and exact in infinite dimensions and…

Other Condensed Matter · Physics 2009-04-07 I. Titvinidze , M. Snoek , W. Hofstetter

We study the two-dimensional Bose-Fermi mixture on square lattice at finite temperature by using the determinant quantum Monte Carlo method within the weakly interacting regime. Here we consider the attractive Bose-Hubbard model and free…

Strongly Correlated Electrons · Physics 2022-06-06 Yongzheng Wu , Zheng Yan , Zhi Lin , Jie Lou , Yan Chen

We present the exact solution for the many-body wavefunction of a one-dimensional mixture of bosons and spin-polarized fermions with equal masses and infinitely strong repulsive interactions under external confinement. Such a model displays…

Quantum Gases · Physics 2011-08-23 Bess Fang , Patrizia Vignolo , Mario Gattobigio , Christian Miniatura , Anna Minguzzi

A dense Bose gas with hard-core interaction is considered in an optical lattice. We study the phase diagram in terms of a special mean-field theory that describes a Bose-Einstein condensate and a Mott insulator with a single particle per…

Statistical Mechanics · Physics 2009-11-13 O. Fialko , Ch. Moseley , K. Ziegler

We study the condensed phase of a Bose-Fermi mixture with a tunable pairing interaction between bosons and fermions with many-body diagrammatic methods and fixed-node diffusion Quantum Monte Carlo simulations. A universal behavior of the…

Quantum Gases · Physics 2015-02-10 Andrea Guidini , Gianluca Bertaina , Davide Emilio Galli , Pierbiagio Pieri

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

We study the out-of-equilibrium dynamics of a dilute, lattice-confined Bose-Fermi mixture initialized in a highly excited state consisting of boson-fermion pairs (doublons) occupying single lattice sites. This system represents a…

Advances in pure optical trapping techniques now allow the creation of degenerate Bose gases with internal degrees of freedom. Systems such as ${}^{87}$Rb, $^{39}$K or ${}^{23}$Na in the $F=1$ hyperfine state offer an ideal platform for…

Thermodynamically stable low-temperature phases of the Bose-Fermi mixtures composed of bosons and spinless fermions close to four dimensions are considered. In the regime, where the only boson-fermion two-body interaction is present and…

Quantum Gases · Physics 2024-04-01 V. Pastukhov

Interacting Bose-Fermi mixtures possess a fermionic (super)symmetry when bosons and fermions in the mixture have equal masses, and when the interaction strengths are appropriately tuned. This symmetry is spontaneously broken in the ground…

Quantum Gases · Physics 2016-03-30 Barry Bradlyn , Andrey Gromov

We investigate the ground state properties of anti-ferromagnetic spin-1 Bose gases in one dimensional harmonic potential from the weak repulsion regime to the strong repulsion regime. By diagonalizing the Hamiltonian in the Hilbert space…

Quantum Gases · Physics 2017-04-05 Yajiang Hao

We consider a Bose-Fermi mixture in the molecular limit of the attractive interaction between fermions and bosons. For a boson density smaller or equal to the fermion density, we show analytically how a T-matrix approach for the constituent…

Quantum Gases · Physics 2014-03-11 A. Guidini , G. Bertaina , E. Fratini , P. Pieri

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 study a two-dimensional atomic mixture of bosons and fermions cooled into their quantum degenerate states and subject to an optical lattice. The optical lattice provides van Hove singularities in the fermionic density of states. We find…

Soft Condensed Matter · Physics 2009-11-10 H. P. Büchler , G. Blatter
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