IMPROVED TROTTER-LIKE FORMULA

被引：46

作者：

SUZUKI, M

机构：

[1] Department of Physics, University of Tokyo, Bunkyo-ku, Tokyo, 113

来源：

PHYSICS LETTERS A | 1993年 / 180卷 / 03期

关键词：

D O I：

10.1016/0375-9601(93)90701-Z

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A new higher-order approximant of the trace of exponential operators is proposed, namely Tr exp[x(A+B)]=Tr{(e(xA/2n)e(xB/n)e(xA/2n))n exp[(x3/8n2)S3]} + O(1/n4), where S3=1/6[2A+B, [B, A]]. This can be applied to quantum Monte Carlo simulations. This new formula has the great merit that the decomposition parameters of higher order are all positive except the term S3.

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收藏

页码：232 / 234

页数：3

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共 28 条

[11] A CANONICAL INTEGRATION TECHNIQUE [J].

RUTH, RD .

IEEE TRANSACTIONS ON NUCLEAR SCIENCE, 1983, 30 (04) :2669-2671

[12] GENERAL-THEORY OF HIGHER-ORDER DECOMPOSITION OF EXPONENTIAL OPERATORS AND SYMPLECTIC INTEGRATORS [J].

SUZUKI, M .

PHYSICS LETTERS A, 1992, 165 (5-6) :387-395

[13] MONTE-CARLO SIMULATION OF QUANTUM SPIN SYSTEMS .1. [J].

SUZUKI, M ;

MIYASHITA, S ;

KURODA, A .

PROGRESS OF THEORETICAL PHYSICS, 1977, 58 (05) :1377-1387

[14] DECOMPOSITION FORMULAS OF EXPONENTIAL OPERATORS AND LIE EXPONENTIALS WITH SOME APPLICATIONS TO QUANTUM-MECHANICS AND STATISTICAL PHYSICS [J].

SUZUKI, M .

JOURNAL OF MATHEMATICAL PHYSICS, 1985, 26 (04) :601-612

[15] GENERAL NONSYMMETRIC HIGHER-ORDER DECOMPOSITION OF EXPONENTIAL OPERATORS AND SYMPLECTIC INTEGRATORS [J].

SUZUKI, M .

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1992, 61 (09) :3015-3019

[16] RELATIONSHIP BETWEEN D-DIMENSIONAL QUANTAL SPIN SYSTEMS AND (D+1)-DIMENSIONAL ISING SYSTEMS - EQUIVALENCE, CRITICAL EXPONENTS AND SYSTEMATIC APPROXIMANTS OF PARTITION-FUNCTION AND SPIN CORRELATIONS [J].

SUZUKI, M .

PROGRESS OF THEORETICAL PHYSICS, 1976, 56 (05) :1454-1469

[17] GENERAL-THEORY OF FRACTAL PATH-INTEGRALS WITH APPLICATIONS TO MANY-BODY THEORIES AND STATISTICAL PHYSICS [J].

SUZUKI, M .

JOURNAL OF MATHEMATICAL PHYSICS, 1991, 32 (02) :400-407

[18] FRACTAL DECOMPOSITION OF EXPONENTIAL OPERATORS WITH APPLICATIONS TO MANY-BODY THEORIES AND MONTE-CARLO SIMULATIONS [J].

SUZUKI, M .

PHYSICS LETTERS A, 1990, 146 (06) :319-323

[19] QUANTUM MONTE-CARLO METHODS - RECENT DEVELOPMENTS [J].

SUZUKI, M .

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 1993, 194 (1-4) :432-449

[20] FRACTAL PATH-INTEGRALS WITH APPLICATIONS TO QUANTUM MANY-BODY SYSTEMS [J].

SUZUKI, M .

PHYSICA A, 1992, 191 (1-4) :501-515