"Adaptive time-dependent density-matrix renormalization-group"
Prof. Ulrich Schollwock

Jul 14, 2004

講演題目：　Adaptive time-dependent density-matrix renormalization-group
講　師　：　Prof. Ulrich Schollwock
　　　　　(Institute for Theoretical Physics C, RWTH Aachen, 52056 Aachen, Germany)
日　時　：　平成16年7月14日 (水) 16:30-
場　所　：　北海道大学大学院理学研究科物理学専攻　大学院講義室 理学部2号館（2－11号室）

要　旨　：
　 　While the density-matrix renormalization-group has emerged as arguably the most powerful method to study the static and dynamic equilibrium properties of one-dimensional quantum systems, a reliable study of explicitly time-dependent phenomena in real time has not been possible so far. I am presenting a new DMRG method that during time-evolution maintains the key feature of DMRG, namely that the effective Hilbert space within it works is adapted during time such that it always allows for an optimal representation of the current quantum state of the system. I will discuss the links of this approach to quantum information theory and also present some applications that show the very high reliability of this method. I will also consider its potential applications such as in driven quantum phase transitions (cold atoms), dissipative quantum mechanics, transport problems in quasi-one dimensional wires. work done in collaboration withP.E. Cladis and Harald Pleiner.

世話人　 山本 昌司
（yamamoto@phys.sci.hokudai.ac.jp)
北海道大学大学院理学研究科