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arXiv:1503.00928 · Annals of Physics

Bell states and entanglement dynamics on two coupled quantum molecules

P.A. Oliveira, L. Sanz

Published Mar 5, 2015• 26 citations
arXivHTMLPDF
DOI
10.1016/j.aop.2015.02.036

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In this work, we study the dynamics of entanglement between two eletronic qubits inside two coupled quantum molecules, where each molecule is consisting of two semiconductor quantum dots.Our first interest is to explore the production of maximally entangled states in the two level system not considering dissipation.Using the Bell states, we define a new basis for the system of interest, which allows to obtain a new Hamiltonian for the quantum molecules.To analyze the characteristics of eigenstates of the Hamiltonian which describes the quantum molecules, we use a measure of entanglement called concurrence.From the new base, we verify the behavior the dynamics of entanglement by manipulating the physical parameters of the system as the detuning and the tunneling between the quantum dots contained in molecules and the Coulomb interaction.We identified a set of physical parameters which are linked to the creation of maximally entangled states and other conditions where it is not possible to entangle the subsystems.
We investigate entanglement of two coupled electron spins in quantum dots (QDs) in the presence of an inhomogeneous magnetic field. The important effects of the inhomogeneous field are discussed for the dynamics of entanglement. Due to the system’s symmetry, the inhomogeneity of the field is shown not to affect the evolution of entanglement for Φ-type Bell state while it plays a key role for Ψ-type Bell state. For the maximal entangled Bell states, the field is positive for the entanglement dynamics. The mean field can increase the entanglement revival for Φ-type Bell state while an inhomogeneous field can promote the entanglement revival for Ψ-type Bell state. For the unentangled initial states, the field is destructive for the entanglement generation induced by the coupling of the two spins.
Dynamic entanglement between two end molecules in a polar-molecule array is investigated in static electric fields. Specific initial states are set to probe the evolution of the molecular system under the influence of intrinsic decoherence. We analyze the degree of entanglement between the end molecules by use of concurrence. When the Bell states are initially shared between the end molecules, the end-to-end concurrence shows either a fragile or a robust behavior. The robust concurrence is less affected by decoherence, reflecting a situation that the initial Bell state can be shared between the end molecules for long periods of time. The stability of the entanglement shared between two arbitrary molecules in the array is further studied. Furthermore, we show how to induce a high end-to-end concurrence via transfer of a separable state. The state is transferred from one end molecule to the other. During the back-and-forth transfer processes, the concurrence cyclically reveals high peaks, corresponding to different Bell-like states. In addition, population inversion is observed to only occur at the end molecules in the array. We further examine the contribution of effective states to the concurrence and discuss the effects of decoherence, dipole-field interaction, and dipole-dipole interaction on its properties.