APPLICATION OF DENSITY MATRIX RENORMALIZATION GROUP METHOD TO PHOTOINDUCED PHENOMENA IN STRONGLY CORRELATED ELECTRON SYSTEMS

被引:0
作者
Matsueda, Hiroaki [1 ]
机构
[1] Sendai Natl Coll Technol, Sendai, Miyagi 9893128, Japan
来源
FRONTIERS IN QUANTUM INFORMATION RESEARCH: DECOHERENCE, ENTANGLEMENT, ENTROPY, MPS AND DMRG | 2012年 / 4卷
关键词
Density matrix renormalization group (DMRG); dynamical DMRG; time-dependent DMRG; entanglement entropy; matrix product state (MPS); strongly correlated electron system; spin-charge separation; Hubbard model; Hubbard-Holstein model; double-exchange model; nonlinear optics; photoinduced; phase transition (PIPT); pump-probe spectroscopy; SPIN-CHARGE SEPARATION; ONE-DIMENSIONAL SRCUO2; OPTICAL NONLINEARITY; DYNAMICAL PROPERTIES; INFINITE DIMENSIONS; KONDO INSULATOR; HOLSTEIN MODEL; HUBBARD-MODEL; WAVE-FUNCTION; ALGORITHM;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Density matrix renormalization group method (DMRG) is a powerful tool to examine excited and time-dependent states of one-dimensional (1D) strongly correlated systems as well as their ground-state properties. In this review, physical motivation and various numerical techniques for the examination are presented. Then, we summarize our DMRG analysis for photoinduced phenomena in 1D Mott insulators and other transition metal oxides. Close connection between DMRG and key aspects of quantum information such as entanglement is also addressed.
引用
收藏
页码:227 / 264
页数:38
相关论文
共 80 条
[51]   The density-matrix renormalization group [J].
Schollwöck, U .
REVIEWS OF MODERN PHYSICS, 2005, 77 (01) :259-315
[52]   THEORY OF RAMAN-SCATTERING IN MOTT-HUBBARD SYSTEMS [J].
SHASTRY, BS ;
SHRAIMAN, BI .
PHYSICAL REVIEW LETTERS, 1990, 65 (08) :1068-1071
[53]   Thermodynamics of doped Kondo insulator in one dimension - Finite-temperature DMRG study [J].
Shibata, N ;
Tsunetsugu, H .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1999, 68 (03) :744-747
[54]   Application of the density matrix renormalization group method to finite temperatures and two-dimensional systems [J].
Shibata, N .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2003, 36 (37) :R381-R410
[55]   Dynamic correlations in doped 1D Kondo insulator -: Finite-T DMRG study [J].
Shibata, N ;
Tsunetsugu, H .
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 1999, 68 (10) :3138-3141
[56]   The density matrix renormalization group method applied to interaction round a face Hamiltonians [J].
Sierra, G ;
Nishino, T .
NUCLEAR PHYSICS B, 1997, 495 (03) :505-532
[57]  
SIERRA G, ARXIVCONDMAT9811170
[58]   ENTROPY AND AREA [J].
SREDNICKI, M .
PHYSICAL REVIEW LETTERS, 1993, 71 (05) :666-669
[59]   RELATIONSHIP BETWEEN D-DIMENSIONAL QUANTAL SPIN SYSTEMS AND (D+1)-DIMENSIONAL ISING SYSTEMS - EQUIVALENCE, CRITICAL EXPONENTS AND SYSTEMATIC APPROXIMANTS OF PARTITION-FUNCTION AND SPIN CORRELATIONS [J].
SUZUKI, M .
PROGRESS OF THEORETICAL PHYSICS, 1976, 56 (05) :1454-1469
[60]   Singularities in optical spectra of quantum spin chains [J].
Suzuura, H ;
Yasuhara, H ;
Furusaki, A ;
Nagaosa, N ;
Tokura, Y .
PHYSICAL REVIEW LETTERS, 1996, 76 (14) :2579-2582