Abstract
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.
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Acknowledgments
The calculations were performed on computer facilities granted by Poznan Supercomputing and Networking Centre (Poland) as well as within DECI programme by the PRACE-2IP (FP7/2007-2013) under grant agreement no RI-283493. Support from the Polish MNiSW through the grant No N519 579138 is also acknowledged.
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Barasiński, A., Brzostowski, B., Matysiak, R., Sobczak, P., Woźniak, D. (2014). Non-uniform Quantum Spin Chains: Simulations of Static and Dynamic Properties. In: Wyrzykowski, R., Dongarra, J., Karczewski, K., Waśniewski, J. (eds) Parallel Processing and Applied Mathematics. PPAM 2013. Lecture Notes in Computer Science(), vol 8385. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55195-6_42
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DOI: https://doi.org/10.1007/978-3-642-55195-6_42
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