Slowdown of nonequilibrium dynamics in gapped `qubit' chains

Details Slowdown of nonequilibrium dynamics in gapped `qubit' chains Slowdown of nonequilibrium dynamics in gapped `qubit' chains

2004-02-11

arxiv.org/abs/cond-mat/0402313v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

12 pages and 3 figures in postscript format. PACS numbers: 75.10.Jm, 76.20.+q, 03.67.Lx

Scientific paper

We solve the nonequilibrium dynamics of qubits or quantum spin chains (s=1/2) modeled by an anisotropic XY Hamiltonian, when the initial condition is prepared as a spatially inhomogeneous state of the magnetization. Infinite systems are studied analytically, yielding a universal relaxation driven by quantum fluctuations. Particular long-lived excitations are found, for which the relaxation time diverges as a consequence of constructive quantum interference at degenerate stationary points. Those states are intrinsically entangled and may be of interest for performing quantum computation. We also numerically analyze finite samples to assess the extent of size effects.

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