Back to Search
Start Over
A generalized Lanczos method for systematic optimization of tensor network states
- Publication Year :
- 2016
-
Abstract
- We propose a generalized Lanczos method to generate the many-body basis states of quantum lattice models using tensor-network states (TNS). The ground-state wave function is represented as a linear superposition composed from a set of TNS generated by Lanczos iteration. This method improves significantly both the accuracy and the efficiency of the tensor-network algorithm and allows the ground state to be determined accurately using TNS with very small virtual bond dimensions. This state contains significantly more entanglement than each individual TNS, reproducing correctly the logarithmic size dependence of the entanglement entropy in a critical system. The method can be generalized to non-Hamiltonian systems and to the calculation of low-lying excited states, dynamical correlation functions, and other physical properties of strongly correlated systems.<br />5 pages, 5 figures
- Subjects :
- Physics
Quantum Physics
Basis (linear algebra)
Logarithm
Strongly Correlated Electrons (cond-mat.str-el)
Entropy (statistical thermodynamics)
General Physics and Astronomy
FOS: Physical sciences
02 engineering and technology
Quantum entanglement
Computational Physics (physics.comp-ph)
021001 nanoscience & nanotechnology
01 natural sciences
Superposition principle
Lanczos resampling
Condensed Matter - Strongly Correlated Electrons
0103 physical sciences
Tensor
Statistical physics
010306 general physics
0210 nano-technology
Wave function
Quantum Physics (quant-ph)
Physics - Computational Physics
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....817ca9de58cd48db038126621428606a