Luttinger liquid of polarons in one-dimensional Boson-Fermion mixtures

We use the bosonization approach to investigate quantum phases of boson-fermion mixtures (BFM) of atoms confined to one dimension by an anisotropic optical lattice. For a BFM with a single species of fermions we find a charge-density wave phase, a fermion pairing phase, and a phase separation regime...

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Bibliographic Details
Published in:Physical review letters 2004-09, Vol.93 (12), p.120404.1-120404.4, Article 120404
Main Authors: MATHEY, L, WANG, D.-W, HOFSTETTER, W, LUKIN, M. D, DEMLER, Eugene
Format: Article
Language:English
Subjects:
Classical and quantum physics: mechanics and fields
Condensed matter: electronic structure, electrical, magnetic, and optical properties
Electron states
Exact sciences and technology
Matter waves
Physics
Theories and models of many electron systems
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Summary:We use the bosonization approach to investigate quantum phases of boson-fermion mixtures (BFM) of atoms confined to one dimension by an anisotropic optical lattice. For a BFM with a single species of fermions we find a charge-density wave phase, a fermion pairing phase, and a phase separation regime. We also obtain the rich phase diagram of a BFM with two species of fermions. We demonstrate that these phase diagrams can be understood in terms of polarons, i.e., atoms "dressed" by screening clouds of the other atom species. Techniques to detect the resulting quantum phases are discussed.
ISSN:0031-9007
1079-7114
DOI:10.1103/physrevlett.93.120404