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arXiv:1002.4816 · The Journal of Chemical Physics

Communications: Entanglement switch for dipole arrays

Qi Wei, Sabre Kais, Yong P. Chen

Published Mar 28, 2010• 29 citations
arXivHTMLPDF

Abstract

We propose a new entanglement switch of qubits consisting of electric dipoles oriented along or against an external electric field and coupled by the electric dipole-dipole interaction. The pairwise entanglement can be tuned and controlled by the ratio of the Rabi frequency and the dipole-dipole coupling strength. Tuning the entanglement can be achieved for one, two, and three-dimensional arrangements of the qubits. The feasibility of building such an entanglement switch is also discussed.

DOI
10.1063/1.3366522

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We propose a new entanglement switch of qubits consisting of electric dipoles oriented along or against an external electric field and coupled by the electric dipole-dipole interaction. The pairwise entanglement can be tuned and controlled by the ratio of the Rabi frequency and the dipole-dipole coupling strength. Tuning the entanglement can be achieved for one, two, and three-dimensional arrangements of the qubits. The feasibility of building such an entanglement switch is also discussed.
Two projects are studied in this thesis: (1) Atomic and Molecular Stabilization in Super-Intense High-Frequency Laser Fields. (2) Entanglement of Dipole Arrays in External Electric Fields. Chapter 1 presents a general introduction and the motivation for these two projects. Chapter 2 focuses on atomic stabilization of negative multiple charged onions in linearly polarized super-intense high-frequency laser field in 3-dimensional space using both frequency independent (Section 2.2) and dependent (Section 2.3) potentials. By theoretical calculation, it is predicted that He-, He2-, Li- and Li2- are stable in super-intense high-frequency laser field. Chapter 3 studies atomic stabilization in both linearly and circularly polarized super-intense high-frequency laser field in both 3 dimensional space and large-D limit. Chapter 4 studies stabilization of simple diatomic molecules in linearly polarized super-intense high-frequency laser field in both 3 dimensional space and large-D limit. It was proved, in chapter 3 and 4, that dimensional scaling, combined with the High-Frequency Floquet theory, provides a useful means to evaluate the stability of gas phase atomic anions in a superintense laser field. Chapter 5 focuses on He-He bonding in linearly polarized super-intense high-frequency laser field. The distribution of the vibronic transitions from electric ground state to [special characters omitted] excited state for He2 in superintense high frequency laser fields is obtained by numerical methods. Chapter 6 studies entanglement of multi-dimensional systems of dipoles in external electric fields. A new entanglement switch of qubits consisting of electric dipoles oriented along or against an external electric field and coupled by the electric dipole-dipole interaction is proposed in this chapter. The pairwise entanglement can be tuned and controlled by the ratio of the Rabi frequency and the dipole-dipole coupling strength. Tuning the entanglement can be achieved for one, two and three-dimensional arrangements of the qubits. The feasibility of building such an entanglement switch is also discussed in this chapter.
The pairwise entanglement of an arbitrary atomic pair randomly extracted from a laser-driven dense multiqubit sample in the presence of quantum dissipation due to spontaneous emission is considered. The dipole–dipole interaction between the particles shifts the laser-qubit resonance frequency and consequently modifies the quantum entanglement. By means of an appropriate tuning of the laser frequency, one can optimize the entanglement in this system. For large ensembles, the maximum entanglement occurs near the laser parameters where the steady-state sample exhibits phase transition phenomena.
We investigate the characteristics of three kinds of quantum correlations, measured by pairwise quantum discord (QD), geometric measure of quantum discord (GMQD), and measurement-induced disturbance (MID), in the systems of three- and four-dipole arrays. The influence of the temperature on the three quantum correlations and entanglement of the systems is also analyzed numerically. It is found that novel quantum correlation switches called QD, GMQD, and MID respectively can be constructed with the qubits consisting of electric dipoles coupled by the dipole—dipole interaction and oriented along or against the external electric field. Moreover, with the increase of temperature, QD, GMQD, and MID are more robust than entanglement against the thermal environment. It is also found that for each dipole pair of the three- and four-dipole arrangements, the MID is always the largest and the GMQD the smallest.
We propose a microscopic magnetoelectric model in which the coupling between spins and electric dipoles is mediated by lattice distortions. The magnetic sector is described by a spin S=1/2S=1/2S=1/2 Heisenberg model coupled directly to the lattice via a standard spin-Peierls term and indirectly to the electric dipole variables via the distortion of the surrounding electronic clouds. Electric dipoles are described by Ising variables for simplicity. We show that the effective magnetoelectric coupling which arises due to the interconnecting lattice deformations is quite efficient in one-dimensional arrays. More precisely, we show using bosonization and extensive density matrix renormalization group numerical simulations that increasing the magnetic field above the spin-Peierls gap, a massive polarization switch-off occurs due to the proliferation of soliton pairs. We also analyze the effect of an external electric field when the magnetic system is in a gapped (plateau) phase and show that the magnetization can be electrically switched between clearly distinct values. More general quasi-one-dimensional models and two-dimensional systems are also discussed.