Two-particle localization and antiresonance in spin and qubit chains

Lea F. Santos; Mark I. Dykman

doi:10.1117/12.546856

25 May 2004 Two-particle localization and antiresonance in spin and qubit chains

Lea F. Santos, Mark I. Dykman

Proceedings Volume 5472, Noise and Information in Nanoelectronics, Sensors, and Standards II; (2004) https://doi.org/10.1117/12.546856
Event: Second International Symposium on Fluctuations and Noise, 2004, Maspalomas, Gran Canaria Island, Spain

Abstract

We analyze localization of interacting excitations in a system of qubits or spins. The system is modeled by a spin chain with an anisotropic (XXZ) exchange coupling in a magnetic field. Localization occurs on a defect with an excess on-site spin-flip energy. Such a defect corresponds to a qubit with the level spacing different from other qubits. Because of the interaction, a single defect may lead to multiple localized states. We find energy spectra and localization lengths of the two-excitation states. An excitation remains localized on the defect even where energy conservation allows scattering into extended states. This is due to destructive quantum interference in the two-excitation scattering channels, and it facilitates the operation of a quantum computer. Analytical results are obtained for strong anisotropy and are confirmed by numerical studies.

Citation Download Citation

Lea F. Santos and Mark I. Dykman "Two-particle localization and antiresonance in spin and qubit chains", Proc. SPIE 5472, Noise and Information in Nanoelectronics, Sensors, and Standards II, (25 May 2004); https://doi.org/10.1117/12.546856

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