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, the 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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UCL, Dept Phys & Astron, London WC1E 6BT, EnglandUCL, Dept Phys & Astron, London WC1E 6BT, England
Balian, S. J.
Wolfowicz, Gary
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UCL, London Ctr Nanotechnol, London WC1H 0AH, England
Univ Oxford, Dept Mat, Oxford OX1 3PH, EnglandUCL, Dept Phys & Astron, London WC1E 6BT, England
Wolfowicz, Gary
Morton, John J. L.
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UCL, London Ctr Nanotechnol, London WC1H 0AH, England
UCL, Dept Elect & Elect Engn, London WC1E 7JE, EnglandUCL, Dept Phys & Astron, London WC1E 6BT, England
Morton, John J. L.
Monteiro, T. S.
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UCL, Dept Phys & Astron, London WC1E 6BT, EnglandUCL, Dept Phys & Astron, London WC1E 6BT, England