Peierls instability, periodic Bose-Einstein condensates, and density waves in quasi-one-dimensional boson-fermion mixtures of atomic gases

Journal Article · Thu Jul 01 00:00:00 EDT 2004 · Physical Review. A

DOI:https://doi.org/10.1103/PhysRevA.70.013612· OSTI ID:20645792

Miyakawa, Takahiko; Yabu, Hiroyuki; Suzuki, Toru ^[1]

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1. Optical Sciences Center, University of Arizona, Tucson, Arizona 85721 (United States)

We study the quasi-one-dimensional (Q1D) spin-polarized Bose-Fermi mixture of atomic gases at zero temperature. Bosonic excitation spectra are calculated in the random phase approximation on the ground state with uniform Bose-Einstein condensates (BEC's) and the Peierls instabilities are shown to appear in bosonic collective excitation modes with wave number 2k{sub F} by the coupling between the Bogoliubov-phonon mode of bosonic atoms and the fermion particle-hole excitations. The ground-state properties are calculated in the variational method, and, corresponding to the Peierls instability, the state with a periodic BEC and fermionic density waves with the period {pi}/k{sub F} are shown to have a lower energy than the uniform one. We also briefly discuss the Q1D system confined in a harmonic oscillator potential and derive the Peierls instability condition for it.

• OSTI ID: 20645792
• Journal Information: Physical Review. A, Vol. 70, Issue 1; Other Information: DOI: 10.1103/PhysRevA.70.013612; (c) 2004 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ATOMS
BOSE-EINSTEIN CONDENSATION
BOSONS
COLLECTIVE EXCITATIONS
COUPLING
DENSITY
FERMIONS
GASES
GROUND STATES
HARMONIC OSCILLATORS
HOLES
INSTABILITY
MIXTURES
ONE-DIMENSIONAL CALCULATIONS
PERIODICITY
PHONONS
POTENTIALS
RANDOM PHASE APPROXIMATION
SPIN
VARIATIONAL METHODS