Exact calculation of entanglement in a 19-site two-dimensional spin system
- Department of Physics, Purdue University, West Lafayette, Indiana 47907 (United States)
- Department of Chemistry and Birck Nanotechnology Center, Purdue University, West Lafayette, Indiana 47907 (United States)
- Department of Computer Science, Purdue University, West Lafayette, Indiana 47907 (United States)
Using the trace minimization algorithm, we carried out an exact calculation of entanglement in a 19-site two-dimensional transverse Ising model. This model consists of a set of localized spin-(1/2) particles in a two-dimensional triangular lattice coupled through exchange interaction J and subject to an external magnetic field of strength h. We demonstrate, for such a class of two-dimensional magnetic systems, that entanglement can be controlled and tuned by varying the parameter {lambda}=h/J in the Hamiltonian and by introducing impurities into the systems. Examining the derivative of the concurrence as a function of {lambda} shows that the system exhibits a quantum phase transition at about {lambda}{sub c}=3.01, a transition induced by quantum fluctuations at the absolute zero of temperature.
- OSTI ID:
- 21408213
- Journal Information:
- Physical Review. A, Vol. 81, Issue 2; Other Information: DOI: 10.1103/PhysRevA.81.022324; (c) 2010 The American Physical Society; ISSN 1050-2947
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
GENERAL PHYSICS
ALGORITHMS
EXCHANGE INTERACTIONS
FLUCTUATIONS
FUNCTIONS
HAMILTONIANS
ISING MODEL
MAGNETIC FIELDS
MINIMIZATION
PHASE TRANSFORMATIONS
QUANTUM ENTANGLEMENT
SPIN
TWO-DIMENSIONAL CALCULATIONS
ANGULAR MOMENTUM
CRYSTAL MODELS
INTERACTIONS
MATHEMATICAL LOGIC
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
OPTIMIZATION
PARTICLE PROPERTIES
QUANTUM OPERATORS
VARIATIONS