Regimes de propagação anômalos para uma caminhada quântica com duas partículas emaranhadas

Abstract

We investigated theoretically a discrete time one dimensional quantum walk. Particle dynamics are analyzed for single particle and two particles quantum states. For two particles states, it is possible to combinate entangled states and quantum walk in the same system. Quantum states symmetry for fermionic as well as for bosonic systems, drastically influence its particle dynamics in the lattice. These two particles have symmetric or antisymmetric wave functions, respectively. A disorder is introduced in the beam splitters and in the phase shifters, where the walker spreads in this lattice. Also, this disorder evolves over time. By changing the disorder parameter, we can checked the different kinds of transport regimes settles in. The more usual propagation regimes in the nature are ballistic or quantum and diffusive or classic. In this scene, we scan all superdiffusive region through a single disorder control parameter, in our simulation, between ballistic behavior and classic diffusion. Besides, for fermionic states, there is a hiperdiffusive regime indication, where the walkers spreads faster than ballistic case. Our integrated arrangement takes into account a possible implementation in an integrated photonic chip through a developed theorical application.