Bilayer graphene lattice-layer entanglement in the presence of non-Markovian phase noise

Abstract

The evolution of single particle excitations of bilayer graphene under effects of non-Markovian noise is described with focus on the decoherence process of lattice-layer (LL) maximally entangled states. Once that the noiseless dynamics of an arbitrary initial state is identified by the correspondence between the tight-binding Hamiltonian for the AB-stacked bilayer graphene and the Dirac equation -which includes pseudovector-and tensor-like field interactions -the noisy environment is described as random fluctuations on bias voltage and mass terms. The inclusion of noisy dynamics reproduces the Ornstein-Uhlenbeck processes: a non-Markovian noise model with a well-defined Markovian limit. Considering that an initial amount of entanglement shall be dissipated by the noise, two profiles of dissipation are identified. On one hand, for eigenstates of the noiseless Hamiltonian, deaths and revivals of entanglement are identified along the oscillation pattern for long interaction periods. On the other hand, for departing LL Werner and Cat states, the entanglement is suppressed although, for both cases, some identified memory effects compete with the pure noise-induced decoherence in order to preserve the the overall profile of a given initial state.

Clifford Algebras, Multipartite Systems and Gauge Theory Gravity

“…The negativity and Meyer-Wallach global measures were used for quantify of entanglement. In another recent article [33], the same authors explore the intrinsic entangled structure associated to Dirac equation in the bilayer graphene. A realistic setup was purposed with the effect of a noise implemented by Ornstein-Uhlenbeck process.…”

Non-local correlation dynamics in two-dimensional graphene

“…These models describe Bernal-stacked Graphene bilayers in the presence of trigonal warping in the energy spectrum 36 and a tight-binding including mass and bias voltage 37 . In addition, the bilayer graphene lattice-layer entanglement was analyzed in the presence of non-Markovian phase noise 38 .…”