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| 11:00- (A614, 6th floor of the main building)
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K. Harada (Deptartment of Applied Analysis and Complex Dynamical Systems, Kyoto University) |
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| Loop Algorithms with Non-Binary Loops
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| Using a non-local update in a quantum Monte Carlo (QMC) simulation, we can sample various configurations for a quantum model very efficiently. The loop algorithm is one of the QMC algorithms with a non-local update in the shape of a loop. Particularly a loop update can combine with the high symmetry for a quantum model. It is called a non-binary loop update. I review loop algorithms with non-binary loops and show its applications for quantum models with a high symmetry. |
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| 14:00- (A614, 6th floor of the main building)
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A. Sandvik (Department of Physics, Boston University) |
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| Quantum Monte Carlo simulations in the valence bond basis
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| Quantum Monte Carlo simulations of spin systems have traditionally been carried out in the standard basis of eigenstates of the z spin components. It was recently realized that simulations in the valence bond basis (which is overcomplete and non-orthogonal, with the basis states being products of pair singlets) has certain advantages in some cases, including no sign problem for a large class of multi-spin interactions that cause sign problems in the standard basis. I will give an introduction to a Monte Carlo scheme for projecting out ground states of S=1/2 models in this basis. |
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