Introduces wavelet matrix product states as a tensor network variational method for continuum quantum fields, allowing standard MPS algorithms and scale refinement, tested on Lieb-Liniger energy and correlations.
White,Density matrix renormalization group algorithms with a single center site,Phys
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abstract
We develop a correction to the density matrix used in density matrix renormalization group calculations to take into account the incompleteness of the environment block. The correction allows successful calculations using only a single site in the center of the system, rather than the standard two sites, improving typical computation times by a factor of two to four. In addition, in many cases where ordinary DMRG can get stuck in metastable configurations, the correction eliminates the sticking. We test the new method on the Heisenberg S=1 chain.
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Numerical extraction of scaling dimensions and OPE coefficients for 32 primary operators in the O(2) Wilson-Fisher CFT via fuzzy-sphere regularization shows agreement with bootstrap predictions.
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Wavelet Matrix Product States for Quantum Fields
Introduces wavelet matrix product states as a tensor network variational method for continuum quantum fields, allowing standard MPS algorithms and scale refinement, tested on Lieb-Liniger energy and correlations.
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Conformal Data for the $O(2)$ Wilson-Fisher CFT in $(2+1)$-Dimensional Spacetime from Exact Diagonalization and Matrix Product States on the Fuzzy Sphere
Numerical extraction of scaling dimensions and OPE coefficients for 32 primary operators in the O(2) Wilson-Fisher CFT via fuzzy-sphere regularization shows agreement with bootstrap predictions.