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Quantum statistical monte carlo methods and applications to spin systems

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  • Part 3. Condensed Matter Physics
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Abstract

A short review is given concerning the quantum statistical Monte Carlo method based on the equivalence theorem(1) thatd-dimensional quantum systems are mapped onto (d+1)-dimensional classical systems. The convergence property of this approximate tansformation is discussed in detail. Some applications of this geneal appoach to quantum spin systems are reviewed. A new Monte Carlo method, “thermo field Monte Carlo method,” is presented, which is an extension of the projection Monte Carlo method at zero temperature to that at finite temperatures.

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Authors and Affiliations

  1. Department of Physics, Faculty of Science, University of Tokyo, 113, Tokyo, Japan

    Masuo Suzuki

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  1. Masuo Suzuki
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Suzuki, M. Quantum statistical monte carlo methods and applications to spin systems. J Stat Phys 43, 883–909 (1986). https://doi.org/10.1007/BF02628318

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