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Chaos Solitons & Fractals

Nano-optomechanical control of entanglement in bilayer Graphene

Muqaddar Abbas, Ghaisud Din, Pei Zhang

Published Aug 5, 2025• 3 citations
Publisher
DOI
10.1016/j.chaos.2025.116920

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cond-mat.mes-hallCross-listedarXiv:2512.08588•Dec 10, 2025
Abstract Using exfoliation of graphite, bilayer graphene which is composed of two monolayers of carbon atoms can be obtained. Defining annihilation operator, coherent states for charge carrier of bilayer graphene in a perpendicular magnetic field can be calculated. In this paper, introducing even and odd superposition of bilayer graphene coherent states, we investigate their non-classical properties including entanglement, statistical properties and squeezing. With the use of Concurrence, we have found that these states are entangled and the entanglement goes to zero for large values of coherency parameter. Also, using Mandel parameter and second coherence function, we have realized that only odd states represent sub-Poissonian statistics in some ranges of coherency parameter. In addition, our squeezing considerations show that none of the states exhibits squeezing in quadrature operators. The results of these properties for bilayer graphene coherent states, are different from the similar calculations for monolayer ones.
Closing the gap between ray tracing simulations and experimentally observed electron jetting in bilayer graphene (BLG), we study all-electronic, gate-defined BLG cavities using tight-binding simulations and semiclassical equations of motion. Such cavities offer a rich playground to investigate anisotropic electron transport due to the trigonally warped Fermi surfaces. In this work, we achieve two things: First, we verify the existence of triangular modes (as predicted by classical ray tracing calculations) in the quantum solutions of closed circular BLG cavities. Then, we explore signatures of said triangular modes in transport through open BLG cavities connected to leads. We show that the triangular symmetry translates into anisotropic transport and present an optimal setup for experimental detection of the triangular modes as well as for controlled modulation of transport in preferred directions.