Ground-state properties of the one-dimensional unconstrained pseudo-anyon Hubbard model

Abstract

We study the (pseudo-) anyon Hubbard model on a one-dimensional lattice without the presence of a three-body hardcore constraint. In particular, for the pseudo-fermion limit of a large statistical angle θ ≈ π , we observe a wealth of exotic properties, including a first-order transition between different superfluid phases and a twocomponent partially paired phase for large fillings without need of an additional three-body hardcore constraint.In this limit, we analyze the effect of an induced hardcore constraint, which leads to the stabilization of superfluid ground states for vanishing or even small attractive onsite interactions. For finite statistical angles, we study the unconventional broken-symmetry superfluid peaked at a finite momentum, resulting in an interesting beat phenomenon of single-particle correlation functions. We show how some features of various ground-state phases, including an analog of the partially paired phase in the pseudo-fermion limit, may be reproduced in a naive mean field frame.

Probing the exchange statistics of one-dimensional anyon models

“…Following the analysis of Ref. [47] and similar calculations for the softcore AHM [43], one observes that for a finite φ > 0 bound states may form in the two-particle spectrum even for vanishing on-site in-teractionsŨ = 0. For the 2AHM with vanishing on-site interaction termŨ = 0, we find two-body bound states with a dispersion relation…”

Supersolid and pair correlations of the extended Jaynes-Cummings-Hubbard model on triangular lattices

“…This means that the system enters into a solid order. The positions of the two peaks are located at k 1 /π = 1.17 and k 2 /π = 0.83, which satisfy the existence condition of the beats [44]. Actually, according to λ 1 = 2 and λ 2 = 12, we can also obtain k 1 and k 2 [59].…”

“…11(a), we choose a point in the SS phase with t/β = 0.05, µ/β = −0.95, with size L = 128. Interestedly, the atom excitation correlation C σ n (r) emerges in the beats phenomenon [44], or the so-called solitons as in Ref. [45].…”

Statistically induced topological phase transitions in a one-dimensional superlattice anyon-Hubbard model

“…The 1D anyons systems have exotic and complicated physics properties such as anyonic Bloch oscillations 37 , asymmetric momentum distributions 38,39 , and statistically induced quantum phase transitions 40 . Particularly interesting is the recent proposal of the 1D anyon-Hubbard model [39][40][41][42][43][44][45][46][47][48][49] in optical lattice. Various experimental realizations of anyon-Hubbard model have been proposed 40,41,43,44 , from Raman-assisted tunnel-ing scheme to lattice shaking-induced resonant tunneling against potential offsets scheme.…”