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Beats, broken-symmetry superfluid on a one dimensional anyon Hubbard model | | Wanzhou Zhang
; Ernv Fan
; Tony C Scott
; Yunbo Zhang
; | | Date: |
5 Nov 2015 | | Abstract: | By using the density matrix renormalization group and mean field methods, the
anyon Hubbard model is studied systematically on a one dimensional lattice. The
model can be expressed as a Bose-Hubbard model with a density-dependent-phase
term. If the phase angle $ heta=0$ or $ heta=pi$, the model will be
equivalent to boson and pseudo fermion models, respectively. A broken-symmetry
superfluid emerges in this model. In the mean field frame, in this superfluid,
the expectation value of the creation (annihilation) operator $b^{dagger}(b)$
behaves in a sign oscillation pattern "positive and minus", therefore, we call
it a broken-symmetry superfluid (BSF). By the density matrix reorganization
group method, it is found that the correlation $b^{dagger}_ib_{i+r}$ behaves
in a {it beat phenomenon} with $0< heta<pi$ or behaves like waves with
different wavelengths. The distributions of the broken-symmetry superfluid
phase and other phases are shown in the phase diagrams with different values of
$ heta$. The phase transitions between the superfluid and broken-symmetry
phase are first order. The momentum distributions are analyzed by the data and
signal processing method, which is expected to be observed in the optical
experiments. | | Source: | arXiv, 1511.1712 | | Services: | Forum | Review | PDF | Favorites | |
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