Quantum criticality of a one-dimensional Bose-Fermi mixture

Abstract

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.

8 pages, 7 figures

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Cited by in corpus (13)

• Fermi gases in one dimension: From Bethe Ansatz to experiments
• Strongly interacting Bose-Fermi mixtures in one dimension
• Strongly interacting one-dimensional quantum gas mixtures with weak p-wave interactions
• Emergent ballistic transport of Bose-Fermi mixtures in one dimension
• Dissipative Effects on the Superfluid to Insulator Transition in Mixed-dimensional Optical Lattices
• Density-functional theory for 1D harmonically trapped Bose-Fermi mixture
• Many-body properties of quasi-one dimensional Boson gas across a narrow CIR
• Universality class of quantum criticality for strongly repulsive spin-1 bosons with antiferromagnetic spin-exchange interaction
• Component separation of two-component fermion clouds in a spin-dependent external potential by spin-density-functional theory
• Quasiparticle decay in a one-dimensional Bose-Fermi mixture
• Momentum reconstruction and contact of the one-dimensional Bose-Fermi mixture
• One-dimensional model of chiral fermions with Feshbach resonant interactions
• Quantum Criticality of one-dimensional multicomponent Fermi Gas with Strongly Attractive Interaction