Thouless theorem for matrix product states and subsequent post density matrix renormalization group methods

Sebastian Wouters; Naoki Nakatani; Dimitri Van Neck; Garnet Kin-Lic Chan

doi:10.1103/physrevb.88.075122

Thouless theorem for matrix product states and subsequent post density matrix renormalization group methods

Physical Review B ◽

10.1103/physrevb.88.075122 ◽

2013 ◽

Vol 88 (7) ◽

Cited By ~ 27

Author(s):

Sebastian Wouters ◽

Naoki Nakatani ◽

Dimitri Van Neck ◽

Garnet Kin-Lic Chan

Keyword(s):

Renormalization Group ◽

Density Matrix ◽

Density Matrix Renormalization Group ◽

Matrix Product ◽

Matrix Product States ◽

Density Matrix Renormalization ◽

Group Methods ◽

Renormalization Group Methods

Download Full-text

Matrix product operators, matrix product states, and ab initio density matrix renormalization group algorithms

The Journal of Chemical Physics ◽

10.1063/1.4955108 ◽

2016 ◽

Vol 145 (1) ◽

pp. 014102 ◽

Cited By ~ 69

Author(s):

Garnet Kin-Lic Chan ◽

Anna Keselman ◽

Naoki Nakatani ◽

Zhendong Li ◽

Steven R. White

Keyword(s):

Renormalization Group ◽

Density Matrix ◽

Ab Initio ◽

Density Matrix Renormalization Group ◽

Matrix Product ◽

Matrix Product States ◽

Density Matrix Renormalization

Download Full-text

Study of the ionic Peierls-Hubbard model using density matrix renormalization group methods

Physical Review B ◽

10.1103/physrevb.72.125126 ◽

2005 ◽

Vol 72 (12) ◽

Cited By ~ 5

Author(s):

Y. Z. Zhang ◽

C. Q. Wu ◽

H. Q. Lin

Keyword(s):

Renormalization Group ◽

Density Matrix ◽

Hubbard Model ◽

Density Matrix Renormalization Group ◽

Density Matrix Renormalization ◽

Group Methods ◽

Renormalization Group Methods

Download Full-text

Matrix Product States and Density Matrix Renormalization Group Algorithm

Reference Module in Chemistry, Molecular Sciences and Chemical Engineering ◽

10.1016/b978-0-12-409547-2.11473-8 ◽

2018 ◽

Author(s):

Naoki Nakatani

Keyword(s):

Renormalization Group ◽

Density Matrix ◽

Density Matrix Renormalization Group ◽

Matrix Product ◽

Matrix Product States ◽

Density Matrix Renormalization

Download Full-text

Time-dependent Density-Matrix Renormalization-Group Methods

Journal of the Physical Society of Japan ◽

10.1143/jpsjs.74s.246 ◽

2005 ◽

Vol 74 (Suppl) ◽

pp. 246-255 ◽

Cited By ~ 15

Author(s):

Ulrich Schollwöck

Keyword(s):

Renormalization Group ◽

Density Matrix ◽

Time Dependent ◽

Density Matrix Renormalization Group ◽

Density Matrix Renormalization ◽

Group Methods ◽

Renormalization Group Methods ◽

Dependent Density

Download Full-text

From density-matrix renormalization group to matrix product states

Journal of Statistical Mechanics Theory and Experiment ◽

10.1088/1742-5468/2007/10/p10014 ◽

2007 ◽

Vol 2007 (10) ◽

pp. P10014-P10014 ◽

Cited By ~ 223

Author(s):

Ian P McCulloch

Keyword(s):

Renormalization Group ◽

Density Matrix ◽

Density Matrix Renormalization Group ◽

Matrix Product ◽

Matrix Product States ◽

Density Matrix Renormalization

Download Full-text

Current Trends in Density Matrix Renormalization Group Methods Ulrich Schollwo¨ck

Understanding Quantum Phase Transitions ◽

10.1201/b10273-31 ◽

2010 ◽

pp. 575-598 ◽

Cited By ~ 1

Keyword(s):

Renormalization Group ◽

Density Matrix ◽

Density Matrix Renormalization Group ◽

Density Matrix Renormalization ◽

Current Trends ◽

Group Methods ◽

Renormalization Group Methods

Download Full-text

The density-matrix renormalization group in the age of matrix product states

Annals of Physics ◽

10.1016/j.aop.2010.09.012 ◽

2011 ◽

Vol 326 (1) ◽

pp. 96-192 ◽

Cited By ~ 1770

Author(s):

Ulrich Schollwöck

Keyword(s):

Renormalization Group ◽

Density Matrix ◽

Density Matrix Renormalization Group ◽

Matrix Product ◽

Matrix Product States ◽

Density Matrix Renormalization

Download Full-text

Density-Matrix Renormalization Group Methods for Momentum- and Frequency-Resolved Dynamical Correlation Functions

Progress of Theoretical Physics Supplement ◽

10.1143/ptps.176.143 ◽

2008 ◽

Vol 176 ◽

pp. 143-164 ◽

Cited By ~ 18

Author(s):

Eric Jeckelmann

Keyword(s):

Renormalization Group ◽

Density Matrix ◽

Correlation Functions ◽

Density Matrix Renormalization Group ◽

Dynamical Correlation ◽

Density Matrix Renormalization ◽

Group Methods ◽

Renormalization Group Methods

Download Full-text

Matrix product states, projected entangled pair states, and variational renormalization group methods for quantum spin systems

Advances In Physics ◽

10.1080/14789940801912366 ◽

2008 ◽

Vol 57 (2) ◽

pp. 143-224 ◽

Cited By ~ 827

Author(s):

F. Verstraete ◽

V. Murg ◽

J.I. Cirac

Keyword(s):

Renormalization Group ◽

Quantum Spin ◽

Spin Systems ◽

Matrix Product ◽

Quantum Spin Systems ◽

Matrix Product States ◽

Group Methods ◽

Renormalization Group Methods

Download Full-text

Comment on “Equivalence of the variational matrix product method and the density matrix renormalization group applied to spin chains” by J. Dukelsky et al.

EPL (Europhysics Letters) ◽

10.1209/epl/i2003-00266-0 ◽

2003 ◽

Vol 61 (1) ◽

pp. 138-139

Author(s):

I. P McCulloch ◽

M Gulácsi

Keyword(s):

Renormalization Group ◽

Density Matrix ◽

Spin Chains ◽

Density Matrix Renormalization Group ◽

Matrix Product ◽

Variational Matrix ◽

Density Matrix Renormalization ◽

Product Method

Download Full-text