A quantum Monte Carlo approach to many-body physics

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Abstract

Monte Carlo simulations have become an established and useful method for treating problems in classical statistical physics. Although the first attempts to apply these ideas to quantum problems have also been made in the middle of this century, serious Quantum Monte Carlo simulations started only one to two decades ago. Quite a few Quantum Monte Carlo algorithms have been developed in the meantime. Although they are very different in technical details, the basic ideas are very similar in all of them. The purpose of this review article is twofold. Firstly, we will give an overview of the most commonly used Quantum Monte Carlo algorithms. It will give enough background to understand the principles of these methods, their strengths and weaknesses. Secondly, the most important physical results for many-body problems in solid state physics, obtained by QMC simulations, will be presented. It is impossible to cover all QMC applications in this review article and a - to some extent subjective - choice of representative applications has been made.
Original languageEnglish
Pages (from-to)53-162
Number of pages110
JournalPlasma Physics Reports
Volume220
Issue number2-3
DOIs
Publication statusPublished - 1 Nov 1992

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physics
many body problem
solid state physics
simulation

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A quantum Monte Carlo approach to many-body physics. / von der Linden, Wolfgang.

In: Plasma Physics Reports, Vol. 220, No. 2-3, 01.11.1992, p. 53-162.

Research output: Contribution to journalArticleResearchpeer-review

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