0303130v3

related topics
{energy, state, states}
{time, decoherence, evolution}
{qubit, qubits, gate}
{equation, function, exp}
{spin, pulse, spins}
{cos, sin, state}
{wave, scattering, interference}
{time, wave, function}
{entanglement, phys, rev}
{bell, inequality, local}
{level, atom, field}

Two-particle localization and antiresonance in disordered spin and qubit chains

L. F. Santos, M. I. Dykman

abstract: We show that, in a system with defects, two-particle states may experience destructive quantum interference, or antiresonance. It prevents an excitation localized on a defect from decaying even where the decay is allowed by energy conservation. The system studied is a qubit chain or an equivalent spin chain with an anisotropic ($XXZ$) exchange coupling in a magnetic field. The chain has a defect with an excess on-site energy. It corresponds to a qubit with the level spacing different from other qubits. We show that, because of the interaction between excitations, a single defect may lead to multiple localized states. The energy spectra and localization lengths are found for two-excitation states. The localization of excitations facilitates the operation of a quantum computer. Analytical results for strongly anisotropic coupling are confirmed by numerical studies.

oai_identifier:
oai:arXiv.org:quant-ph/0303130
categories:
quant-ph cond-mat
comments:
Updated version, 13 pages, 5 figures To appear in Phys. Rev. B (2003)
doi:
10.1103/PhysRevB.68.214410
arxiv_id:
quant-ph/0303130
created:
2003-03-20
updated:
2003-11-12

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