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 $\theta \approx \pi$, we observe a wealth of exotic properties including {a first order transition} between different superfluid phases and a {two-component} 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 on-site 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.

10 pages, 13 figures. An extension of arXiv:1511.01712

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Cited by in corpus (23)

• One-particle density matrix of a trapped Lieb-Liniger anyonic gas
• Correlation functions of one-dimensional strongly interacting two-component gases
• Probing the exchange statistics of one-dimensional anyon models
• Strongly repulsive anyons in one dimension
• Critical Entanglement for the Half-Filled Extended Hubbard Model
• Supersolid and pair correlations of the extended Jaynes-Cummings-Hubbard model on triangular lattices
• Statistically related many-body localization in the one-dimensional anyon Hubbard model
• Three-body interaction effects on the ground state of one-dimensional anyons
• Non-equilibrium dynamics of the anyonic Tonks-Girardeau gas at finite temperature
• Worm quantum Monte-Carlo study of phase diagram of extended Jaynes-Cummings-Hubbard model
• Exact Dynamical Correlations of Hard-Core Anyons in One-Dimensional Lattices
• Statistically induced topological phase transitions in a one-dimensional superlattice anyon-Hubbard model
• Statistics tuned entanglement of the boundary modes in coupled Su-Schrieffer-Heeger chains
• Modeling free anyons at the bosonic and fermionic ends
• Anyon optics with time-of-flight two-particle interference of double-well-trapped interacting ultracold atoms
• Statistics-tuned phases of pseudofermions in one dimension
• Quantum Alchemy and Universal Orthogonality Catastrophe in One-Dimensional Anyons
• Two-site anyonic Josephson junction
• Universal properties and dynamical bosonization of strongly interacting one-dimensional anyons
• Necessity of orthogonal basis vectors for the two-anyon problem in one-dimensional lattice
• Boson-Anyon-Fermion Mapping and Anyon Construction in One Dimension
• Encoding a topological gauge theory on a ring-shaped Raman-coupled Bose gas
• Anomalous isothermal compressibility in spin-orbit coupled degenerate Fermi gases