Graphene lattice-layer entanglement under non-Markovian phase noise. (arXiv:1801.00755v1 [cond-mat.mes-hall])

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.

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