Interlayer coherence and entanglement in bilayer quantum Hall states at filling factor $\nu =2/\lambda$

Abstract

We study coherence and entanglement properties of the state space of a composite bi-fermion (two electrons pierced by $\lambda$ magnetic flux lines) at one Landau site of a bilayer quantum Hall system. In particular, interlayer imbalance and entanglement (and its fluctuations) are analyzed for a set of $U(4)$ coherent (\emph{quasiclassical}) states generalizing the standard pseudospin $U(2)$ coherent states for the spin-frozen case. The interplay between spin and pseudospin degrees of freedom opens new possibilities with regard to the spin-frozen case. Actually, spin degrees of freedom make interlayer entanglement more effective and robust under perturbations than in the spin-frozen situation, mainly for a large number of flux quanta $\lambda$. Interlayer entanglement of an equilibrium thermal state and its dependence with temperature and bias voltage is also studied for a pseudo-Zeeman interaction.

LaTeX, 18 pages, 22 figures, substantial improvement (5 additional pages). To appear in J. Phys. Condensed Matter

References in corpus (11)

• Collective Modes and Skyrmion Excitations in Graphene SU(4) Quantum Hall Ferromagnets
• Entanglement Spectrum and Entanglement Thermodynamics of Quantum Hall Bilayers at nu=1
• Husimi distribution and phase space analysis of Dicke model quantum phase transition
• Entanglement Skyrmions in multicomponent quantum Hall systems
• Husimi distribution and phase-space analysis of a vibron-model quantum phase transition
• Entanglement in SU(2)-invariant quantum systems: The positive partial transpose criterion and others
• Quantum Hall Effect on the Flag Manifold F_2
• Pseudospin Quantum Computation in Semiconductor Nanostructures
• Coherent states on the Grassmannian $U(4)/U(2{)}^2$: Oscillator realization and bilayer fractional quantum Hall systems
• Even-Odd Effect in Spontaneously Coherent Bilayer Quantum Hall Droplets
• Spin Supercurrent in the Canted Antiferromagnetic Phase

Cited by in corpus (5)

• Hilbert space and ground state structure of bilayer quantum Hall systems at $\nu =2/\lambda$
• Hilbert space structure of the low energy sector of U(N) quantum Hall ferromagnets and their classical limit
• Husimi function and phase-space analysis of bilayer quantum Hall systems at $\nu =2/\lambda$
• Some properties of Grassmannian $U(4)/U(2{)}^2$ coherent states and an entropic conjecture
• Large Zeeman Splitting in Out-of-Plane Magnetic Field in a Double-Layer Quantum Point Contact