Entanglement generation in a spin chain by a pulsed magnetic field: analytical treatment

• Published in: The European physical journal. D, Atomic, molecular, and optical physics Vol. 65; no. 3; pp. 627 - 634
• Main Authors: Sainz, I., Burlak, G., Klimov, A. B.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer-Verlag 01.12.2011; EDP Sciences
• Subjects: Applications of Nonlinear Dynamics and Chaos Theory; Atomic; Chain dynamics; Chains; Classical and quantum physics: mechanics and fields; Dynamic tests; Dynamics; Entanglement; Exact sciences and technology; Foundations, theory of measurement, miscellaneous theories (including aharonov-bohm effect, bell inequalities, berry's phase); Ising model; Magnetic fields; Mathematical analysis; Molecular; Optical and Plasma Physics; Physical Chemistry; Physics; Physics and Astronomy; Quantum information; Quantum Information Technology; Quantum mechanics; Quantum Physics; Regular Article; Spectroscopy/Spectrometry; Spintronics; Reduce Density Matrix; Spin Chain; Density Matrix; Entanglement Generation; Excitation Scheme; Quantum entanglement; Analytical method; Magnetic field effects; Theoretical study; Quantum decoherence; Ising model; Quantum information; Spin chain; Spin 1/2 particle
• ISSN: 1434-6060; 1434-6079
• DOI: 10.1140/epjd/e2011-20309-7

Dynamics of the one-dimensional open Ising chain under influence of transverse magnetic field applied in form of π -pulses is studied. It is shown how the application of a specific sequence of such instant kicks to selective spins stimulates arising of perfect dynamical pairwise entanglement between ends of the spin chain. Analytic formulas for the concurrence dynamics are derived. It is also shown that the time required to perfectly entangle the ends of the chains grows linearly with the number of spins in the chain. The effect of the phase decoherence is briefly analyzed.