Yang-Yang thermodynamics of a Bose-Fermi mixture

Yin, Xi; Chen, Shu; Zhang, Yunbo

doi:10.1103/physreva.79.053604

Cited by 23 publications

(36 citation statements)

References 39 publications

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“…[19] gives a phase separation result of the two components for a strong but finite interaction. The thermodynamical Bethe ansatz (TBA) at finite temperature [22] tends to support this scenario. The Bose-Fermi mapping methods in Ref.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…Eqs. (32) are explained as the LDA of the chemical potentials at point x in [19] and have been used extensively [22,40]. That means, in slowly varying external harmonic trap chemical potentials at point x are related to those in the trap center x = 0 (µ 0 B and µ 0 F ).…”

Section: Numerical Resultsmentioning

confidence: 99%

“…For the trapped system, the local density approximation (LDA) on the Bethe ansatz solution shows that the harmonic trap 1D mixture would partially demix for strong repulsive interaction [19]. The finite temperature Yang-Yang thermodynamics and the quantum criticality analysis based on thermodynamic Bethe ansatz (TBA) both support the description of phase separation [22]. In the infinitely strong interaction limit, i.e.…”

Section: Introductionmentioning

confidence: 99%

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Density-functional theory for one-dimensional harmonically trapped Bose-Fermi mixture

2012

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We present a density-functional theory for the one dimensional harmonically trapped Bose-Fermi mixture with repulsive contact interactions. The ground state density distribution of each component is obtained by solving the Kohn-Sham equations numerically based on the Local Density Approximation and the exact solution for the homogeneous system given by Bethe ansatz method. It is shown that for strong enough interaction, a considerable amount of fermions are repelled out of the central region of the trap, exhibiting partial phase separation of Bose and Fermi components. Oscillations emerge in the Bose density curves reflecting the strong correlation with Fermions. For infinite strong interaction, the ground state energy of the mixture and the total density are consistent with the scenario that all atoms in the mixture are fully fermionized.

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Section: Numerical Resultsmentioning

confidence: 99%

Section: Numerical Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Density-functional theory for one-dimensional harmonically trapped Bose-Fermi mixture

2012

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“…In comparison with the bosonic and fermionc gases, the Bose-Fermi mixtures are particularly interesting as they rarely occur in nature but are accessible in current cold atomic experiments [3][4][5]. Theoretical investigations have unveiled the Bose-Fermi mixtures displaying rich phase diagrams and interesting excitation properties [6][7][8][9][10][11][12][13][14]. The Bose-Fermi mixtures also provide a platform to realize and study physical properties of the Bose-Fermi supersymmetry [15,16].…”

Section: Introductionmentioning

confidence: 99%

Strongly interacting Bose–Fermi mixtures in one dimension

Guan

Chen

2016

New J. Phys.

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We study one-dimensional (1D) strongly interacting Bose-Fermi mixtures by both the exact Betheansatz method and variational perturbation theory within the degenerate ground state subspace of the system in the infinitely repulsive limit. Based on the exact solution of the 1D Bose-Fermi gas with equal boson-boson and boson-fermion interaction strengths, we demonstrate that the ground state energy is degenerate for different Bose-Fermi configurations and the degeneracy is lifted when the interaction deviates the infinitely interacting limit. We then show that the ground properties in the strongly interacting regime can be well characterized by using the variational perturbation method within the degenerate ground state subspace, which can be applied to deal with more general cases with anisotropic interactions and in external traps. Our results indicate that the total ground-state density profile in the strongly repulsive regime behaves like the polarized non-interacting fermions, whereas the density distributions of bosons and fermions display different properties for different Bose-Fermi configurations and are sensitive to the anisotropy of interactions.

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“…The 1D Bose-Fermi mixture with equal masses of bosons and fermions, and with the same strength of δ-function interaction between bosonboson and boson-fermion, is exactly solvable [15]. This model has attracted renewed interest [16][17][18][19] due to the experimental progress with cold atomic systems.…”

Section: Introductionmentioning

confidence: 99%

Quantum criticality of a one-dimensional Bose-Fermi mixture

et al. 2012

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The one-dimensional interacting Bose-Fermi mixtures, exhibiting quantum phase transitions at zero temperature, are particularly valuable for the study of quantum critical phenomena. In the present paper, we analytically study quantum phase diagram, equation of state and quantum criticality of the Bose-Fermi mixture using the thermodynamic Bethe ansatz equations. We show that thermodynamical properties display universal scaling behaviour at quantum criticality. Furthermore, quantum criticality of the Bose-Fermi mixture in an harmonic trap is also studied within the local density approximation. We thus demonstrate that the phase diagram and critical properties of the bulk system provide insights into understanding universal features of many-body critical phenomena.Comment: 8 pages, 7 figure

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Yang-Yang thermodynamics of a Bose-Fermi mixture

Cited by 23 publications

References 39 publications

Density-functional theory for one-dimensional harmonically trapped Bose-Fermi mixture

Density-functional theory for one-dimensional harmonically trapped Bose-Fermi mixture

Strongly interacting Bose–Fermi mixtures in one dimension

Quantum criticality of a one-dimensional Bose-Fermi mixture

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