Many-anyon trial states
arXiv:1608.05067 · doi:10.1103/PhysRevA.96.012116
Abstract
The problem of bounding the (abelian) many-anyon ground-state energy from above, with a dependence on the statistics parameter which matches that of currently available lower bounds, is reduced to studying the correlation functions of Moore-Read (Pfaffian) and Read-Rezayi type clustering states.
26 pages, 5 figures. Various improvements; added figures and references
References in corpus (12)
- Many-Body Physics with Ultracold Gases
- Anyons and the quantum Hall effect - a pedagogical review
- Fractional Quantum Hall States and Jack Polynomials
- Quantum Hall Physics - hierarchies and CFT techniques
- Quantum Hall physics in rotating Bose-Einstein condensates
- Emergence of fractional statistics for tracer particles in a Laughlin liquid
- Bridge between Abelian and Non-Abelian Fractional Quantum Hall States
- Filling the Bose sea: symmetric quantum Hall edge states and affine characters
- Exclusion bounds for extended anyons
- Gaussian potentials facilitate access to quantum Hall states in rotating Bose gases
- Some contributions to many-body quantum mathematics
- Classical and Quantum Mechanics of Anyons
Cited by in corpus (17)
- Exclusion bounds for extended anyons
- Vortex patterns in the almost-bosonic anyon gas
- A Quantum Impurity Model for Anyons
- Fractional angular momentum and anyon statistics of impurities in Laughlin liquids
- Local Density Approximation for Almost-Bosonic Anyons
- Lieb-Robinson bounds, the spectral flow, and stability of the spectral gap for lattice fermion systems
- Molecular Impurities as a Realization of Anyons on the Two-Sphere
- Kohn-Sham Density Functional Theory of Abelian Anyons
- Fermionic behavior of ideal anyons
- Generalized Devil's staircase and RG flows
- Composite anyons on a torus
- Methods of modern mathematical physics: Uncertainty and exclusion principles in quantum mechanics
- Properties of 2D anyon gas
- Anyonic quasiparticles of hardcore anyons
- Exchange and exclusion in the non-abelian anyon gas
- 2D magnetic stability
- Permutation Phase and Gentile Statistics