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Quantum Thermodynamics

Quantum criticality of a one-dimensional Bose-Fermi mixture

arXiv
Authors: Xiangguo Yin, Xi-Wen Guan, Yunbo Zhang, Shu Chen

Year

2011

Paper ID

29730

Status

Preprint

Abstract Read

~2 min

Abstract Words

103

Citations

N/A

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.

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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...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1111.3554 [2] arXiv https://arxiv.org/abs/1111.3554 [3] Publisher https://arxiv.org/abs/1111.3554

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