A Monte Carlo method for quantum spins using boson world lines
Conference
·
· J. Stat. Phys.; (United States)
OSTI ID:7130252
A new Monte Carlo method is described for quantum (s= 1/2) spins which maps the spin model onto a model of hard-core bosons. The Hamiltonian is then broken up into kinetic and potential parts and the Trotter formula used to simulate the Bose system. The power of this mapping comes from the fact that, by letting the system evolve through unphysical spin states between imaginary time slices, the needed matrix elements have simple expressions.
- Research Organization:
- Univ. of California, Santa Barbara, CA
- OSTI ID:
- 7130252
- Report Number(s):
- CONF-8509213-
- Conference Information:
- Journal Name: J. Stat. Phys.; (United States) Journal Volume: 43:S/6
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BOSONS
COMPUTERIZED SIMULATION
CRYSTAL MODELS
FIELD THEORIES
HAMILTONIANS
HARD-CORE POTENTIAL
LATTICE FIELD THEORY
MAPPING
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
MECHANICS
MONTE CARLO METHOD
NUCLEAR POTENTIAL
OCCUPATION NUMBER
PARTICLE PROPERTIES
POTENTIALS
QUANTUM FIELD THEORY
QUANTUM MECHANICS
QUANTUM OPERATORS
SIMULATION
SPIN
TOPOLOGICAL MAPPING
TRANSFORMATIONS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANGULAR MOMENTUM
BOSONS
COMPUTERIZED SIMULATION
CRYSTAL MODELS
FIELD THEORIES
HAMILTONIANS
HARD-CORE POTENTIAL
LATTICE FIELD THEORY
MAPPING
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATRIX ELEMENTS
MECHANICS
MONTE CARLO METHOD
NUCLEAR POTENTIAL
OCCUPATION NUMBER
PARTICLE PROPERTIES
POTENTIALS
QUANTUM FIELD THEORY
QUANTUM MECHANICS
QUANTUM OPERATORS
SIMULATION
SPIN
TOPOLOGICAL MAPPING
TRANSFORMATIONS