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arXiv · 1403.2443

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

M. Calixto·E. Pérez-Romero
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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.

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M. Calixto, E. Pérez-Romero. 2014-03-11. Interlayer coherence and entanglement in bilayer quantum Hall states at filling factor $\nu=2/\lambda$. https://doi.org/10.1088/0953-8984/26/48/485005

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