Computational studies of quantum spin systems

T. Oguchi, Hidetsugu Kitatani

Makoto Kaburagi, Takashi Tonegawa, T. Nishino

Hans A. De Raedt, V. V. Dobrovitski

Abstract. Computer simulations of decoherence in quantum spin systems require the solution of the time-dependent Schrödinger equation for interacting quantum spin systems over extended periods of time. We use exact diagonalization, Chebyshev polynomial technique, four Suzukiformula 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. 1

M. S. Makivić

Hans A. De Raedt, V. V. Dobrovitski

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.

Eric S. Swanson