Correlation functions and momentum distribution of one-dimensional hard-core anyons in optical lattices
arXiv:1409.2321 · doi:10.1088/1742-5468/2015/01/P01004
Abstract
We address the problem of calculating the correlation functions in a system of one-dimensional hard-core anyons that can be experimentally realized in optical lattices. Using the summation of form factors we have obtained Fredholm determinant representations for the time-, space-, and temperature-dependent Green's functions which are particularly suited to numerical investigations. In the static case we have also derived the large distance asymptotic behavior of the correlators and computed the momentum distribution function at zero and finite temperature. We present extensive numerical results highlighting the characteristic features of one-dimensional systems with fractional statistics.
21 pages, 4 figures, RevTeX 4.1
References in corpus (19)
- The 1D interacting anyon gas: low-energy properties and Haldane exclusion statistics
- Creation, manipulation, and detection of Abelian and non-Abelian anyons in optical lattices
- Anyon-fermion mapping and applications to ultracold gases in tight waveguides
- Anyonic interferometry and protected memories in atomic spin lattices
- Fermionization and bosonization of expanding 1D anyonic fluids
- Correlation functions of one-dimensional anyonic fluids
- Correlation Functions of One-Dimensional Lieb-Liniger Anyons
- Junctions of anyonic Luttinger wires
- Ground-state properties of one-dimensional anyon gases
- Ground-state properties of hard-core anyons in one-dimensional optical lattices
- Generalized exclusion statistics and degenerate signature of strongly interacting anyons
- Bethe Ansatz for 1D interacting anyons
- One-particle density matrix and momentum distribution function of one-dimensional anyon gases
- Statistical Phases and Momentum Spacings for One-Dimensional Anyons
- Luttinger Liquid in Non-equilibrium Steady State
- Coulomb blockade of anyons
- Condensation of Anyons in Frustrated Quantum Magnets
- Quantum phase transition in a multicomponent anyonic Lieb-Liniger model
- Dualities for anyons