Non-uniform Quantum Spin Chains: Simulations of Static and Dynamic Properties

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• 作者：Artur Barasiński (19)
  Bartosz Brzostowski (19)
  Ryszard Matysiak (20)
  Pawe? Sobczak (21)
  Dariusz Wo?niak (19)
  
• 关键词：Static and dynamic magnetic properties ; Heisenberg model ; Numerical simulations ; Parallel processing
• 刊名：Lecture Notes in Computer Science
• 出版年：2014
• 出版时间：2014
• 年：2014
• 卷：1
• 期：1
• 页码：448-457
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• 作者单位：Artur Barasiński (19)
  Bartosz Brzostowski (19)
  Ryszard Matysiak (20)
  Pawe? Sobczak (21)
  Dariusz Wo?niak (19)
  
  19. Institute of Physics, University of Zielona Góra, Prof. Z. Szafrana 4A, 65-516, Zielona Góra, Poland
  20. Institute of Engineering and Computer Education, University of Zielona Góra, Prof. Z. Szafrana 4, 65-516, Zielona Góra, Poland
  21. Faculty of Physics, A. Mickiewicz University, ul. Umultowska 85, 61-614, Poznań, Poland
  
• ISSN：1611-3349

文摘

Since magnetic materials are often composed of magnetically isolated chains, their magnetic properties can be described by the one-dimensional quantum Heisenberg model. The quantum transfer matrix (QTM) method based on a checkerboard structure has been applied for quantum alternating spin chains. To increase the length of the transfer matrix in the Trotter direction we apply the density-matrix renormalization technique and check the efficiency of parallelization for a part of the code: the construction of the transfer matrix. Next, using the Matrix Product State representation, the time evolution of the ground-state magnetization has been performed after the sudden change in applied field.