Coherent states on the GrassmannianU(4)/U(2)2: oscillator realization and bilayer fractional quantum Hall systems

DOI10.1088/1751-8113/47/11/115302zbMath1286.81185arXiv1312.3148OpenAlexW2128880750MaRDI QIDQ5408860

Manuel Calixto, Emilio Pérez-Romero

Publication date: 11 April 2014

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.3148

zbMATH Keywords

coherent statescomposite fermionoscillator realizationGrassmannian cosetbilayer fractional quantum Hall effect

Mathematics Subject Classification ID

Applications of Lie groups to the sciences; explicit representations (22E70) Kähler manifolds (32Q15) Many-body theory; quantum Hall effect (81V70) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Coherent states (81R30) Geometry and quantization, symplectic methods (81S10) Hilbert spaces of continuous, differentiable or analytic functions (46E20)

Related Items (3)

On the oscillator realization of conformal U(2, 2) quantum particles and their particle-hole coherent states ⋮ Coherent states for \(N\)-component fractional quantum Hall systems and their nonlinear sigma models ⋮ Husimi function and phase-space analysis of bilayer quantum Hall systems at ν = 2/λ

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