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Decoherence in quantum spin systems

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arxiv quant-ph/0301121 v3 pith:O5REOA5D submitted 2003-01-23 quant-ph

Decoherence in quantum spin systems

classification quant-ph
keywords quantumspindecoherencesystemsalgorithmsadvantageschebyshevcompare
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Computer simulations of decoherence in quantum spin systems require the solution of the time-dependent Schrodinger equation for interacting quantum spin systems over extended periods of time. We use exact diagonalization, Chebyshev polynomial technique, four Suzuki-formula algorithms, and the short-iterative-Lanczos method to solve a simple model for decoherence of a quantum spin system by an environment consisting of quantum spins, and compare advantages and limitations of different algorithms.

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