Ground-state properties of one-dimensional anyon gases

Abstract

We investigate the ground state of the one-dimensional interacting anyonic system based on the exact Bethe ansatz solution for arbitrary coupling constant ($0\le c\le \infty$) and statistics parameter ($0\le \kappa \le \pi$). It is shown that the density of state in quasi-momentum $k$ space and the ground state energy are determined by the renormalized coupling constant $c^{\prime }$. The effect induced by the statistics parameter $\kappa$ exhibits in the momentum distribution in two aspects: Besides the effect of renormalized coupling, the anyonic statistics results in the nonsymmetric momentum distribution when the statistics parameter $\kappa$ deviates from 0 (Bose statistics) and $\pi$ (Fermi statistics) for any coupling constant $c$. The momentum distribution evolves from a Bose distribution to a Fermi one as $\kappa$ varies from 0 to $\pi$. The asymmetric momentum distribution comes from the contribution of the imaginary part of the non-diagonal element of reduced density matrix, which is an odd function of $\kappa$. The peak at positive momentum will shift to negative momentum if $\kappa$ is negative.

6 pages, 5 figures, published version in Phys. Rev. A

References in corpus (15)

• Realization of a Laughlin quasiparticle interferometer: Observation of fractional statistics
• The 1D interacting anyon gas: low-energy properties and Haldane exclusion statistics
• Anyonic interferometry and protected memories in atomic spin lattices
• Ground-state properties of one-dimensional ultracold Bose gases in a hard-wall trap
• Evolution from a Bose-Einstein condensate to a Tonks-Girardeau gas: An exact diagonalization study
• Correlations in Ultracold Trapped Few-Boson Systems: Transition from Condensation to Fermionization
• Correlation functions of one-dimensional anyonic fluids
• Correlation Functions of One-Dimensional Lieb-Liniger Anyons
• Generalized exclusion statistics and degenerate signature of strongly interacting anyons
• One-Dimensional Impenetrable Anyons in Thermal Equilibrium. I. Anyonic Generalization of Lenard's Formula
• One-Dimensional Impenetrable Anyons in Thermal Equilibrium. II. Determinant Representation for the Dynamic Correlation Functions
• Excitation spectrum of bosons in a finite one-dimensional circular waveguide via the Bethe ansatz
• Ground-state properties of few-Boson system in a one-dimensional hard wall potential with split
• One-dimensional fermionic gases with attractive p-wave interaction in a hard-wall trap
• Ground and excited states of spinor Fermi gases in tight waveguides and the Lieb-Liniger-Heisenberg model

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• Quantum Inverse Scattering Method with anyonic grading
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• Creating anyons from photons using a nonlinear resonator lattice subject to dynamic modulation
• Statistically related many-body localization in the one-dimensional anyon Hubbard model
• Quantum phase transition in a multicomponent anyonic Lieb-Liniger model
• Non-equilibrium dynamics of the anyonic Tonks-Girardeau gas at finite temperature
• Exact Dynamical Correlations of Hard-Core Anyons in One-Dimensional Lattices
• Anyonic Liquids in Nearly Saturated Spin Chains
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• Quantum Alchemy and Universal Orthogonality Catastrophe in One-Dimensional Anyons
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• Dualities for anyons
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