Quantum coherence of Hard-Core-Bosons and Fermions : Extended, Glassy and Mott Phases

Details Quantum coherence of Hard-Core-Bosons and Fermions : Extended, Glassy and Mott Phases Quantum coherence of Hard-Core-Bosons and Fermions : Extended, Glassy and Mott Phases

2006-01-16

arxiv.org/abs/cond-mat/0601307v1

Phys.Rev.A73:063610,2006

Physics

Condensed Matter

Other Condensed Matter

5 pages, 4 figures

Scientific paper

10.1103/PhysRevA.73.063610

We use Hanbury-Brown-Twiss interferometry (HBTI) to study various quantum phases of hard core bosons (HCBs) and ideal fermions confined in a one-dimensional quasi-periodic (QP) potential. For HCBs, the QP potential induces a cascade of Mott-like band-insulator phases in the extended regime, in addition to the Mott insulator, Bose glass, and superfluid phases. At critical filling factors, the appearance of these insulating phases is heralded by a peak to dip transition in the interferogram, which reflects the fermionic aspect of HCBs. On the other hand, ideal fermions in the extended phase display various complexities of incommensurate structures such as devil's staircases and Arnold tongues. In the localized phase, the HCB and the fermion correlations are identical except for the sign of the peaks. Finally, we demonstrate that HBTI provides an effective method to distinguish Mott and glassy phases.

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