Entanglement properties and moment distributions of a system of hard-core anyons on a ring

Abstract

We study the one-particle von Neumann entropy of a system of N hard-core anyons on a ring. The entropy is found to have a clear dependence on the anyonic parameter which characterizes the generalized fractional statistics described by the anyons. This confirms the entanglement as a valuable measure to investigate topological properties of quantum states. Furthermore, we determine analytically the large N asymptotics of the anyonic one-particle density matrix. The formula presented here generalizes the Lenard formula obtained for a system of N hard-core bosons. Finally, we present a numerical analysis which confirms the analytical results and provides additional insight into the problem under consideration.

arXiv comment5 pages, 3 eps figures. v2: Fig 3 changed, Eq 13 changed, minor corrections. References added

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• Universal Tan relations for quantum gases in one dimension
• Ground State Properties of the One-Dimensional Unconstrained Pseudo-Anyon Hubbard Model
• One-particle density matrix of a trapped Lieb-Liniger anyonic gas
• One-dimensional anyons with competing $\delta$-function and derivative $\delta$-function potentials
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• Correlation functions of one-dimensional strongly interacting two-component gases
• Probing the exchange statistics of one-dimensional anyon models
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• Particle partition entanglement of bosonic Luttinger liquids
• Quantum Inverse Scattering Method with anyonic grading
• One-Body Density Matrix and Momentum Distribution of Strongly Interacting One-Dimensional Spinor Quantum Gases
• Quantum phase transition in a multicomponent anyonic Lieb-Liniger model
• Entanglement and level crossings in frustrated ferromagnetic rings
• Non-equilibrium dynamics of the anyonic Tonks-Girardeau gas at finite temperature
• Topological effects and conformal invariance in long-range correlated random surfaces
• Finite temperature contact for SU(2) fermions trapped in a 1D harmonic confinement
• Exact spectral function of the Tonks-Girardeau gas at finite temperature
• One-particle entanglement for one dimensional spinless fermions after an interaction quantum quench
• Determinant formula for the field form factor in the anyonic Lieb-Liniger model
• Quantum Alchemy and Universal Orthogonality Catastrophe in One-Dimensional Anyons
• Generalized Bose-Fermi mapping and strong coupling ansatz wavefunction for one dimensional strongly interacting spinor quantum gases
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• A Scaling Function for the Particle Entanglement Entropy of Fermions
• Universal properties and dynamical bosonization of strongly interacting one-dimensional anyons
• Quench Dynamics of Anyon Tonks-Girardeau Gases
• Localization and "classical entanglement'' in the Discrete Non-Linear Schrödinger Equation
• Entanglement Entropy in Many-Fermion System