Effective one-dimensional models from matrix product states
作者： Frederik Keim , Götz S. Uhrig
DOI: 10.1140/EPJB/E2015-60188-0
关键词: Matrix multiplication 、 Quantum mechanics 、 Ising model 、 State-transition matrix 、 Position and momentum space 、 Physics 、 Thermodynamic limit 、 Ground state 、 Creation and annihilation operators 、 Matrix product state 、 Statistical physics
摘要: In this paper we present a method for deriving effective one-dimensional models based on the matrix product state formalism. It exploits translational invariance to work directly in thermodynamic limit. We show, how representation of creation operator single quasi-particles both real and momentum space can be extracted from dispersion calculation. The is tested analytically solvable Ising model transverse magnetic field. Properties are discussed validated by calculating one-particle contribution spectral weight. Results also given ground energy dispersion.
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