Physics – Condensed Matter – Quantum Gases
Scientific paper
2011-11-15
Phys. Rev. A 85, 013608 (2012)
Physics
Condensed Matter
Quantum Gases
8 pages, 7 figures
Scientific paper
10.1103/PhysRevA.85.013608
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.
Chen Shu
Guan X.-W.
Yin Xiangguo
Zhang Yunbo
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