Study: strongly correlated quantum systems and numerical methods

Research topics

Strongly correlated quantum magnets, Quantum phase transition, Quantum Monte Carlo method, Loog algorithm, Tensor network scheme(MERA)

Main research results

(Publication list)

1. Bayesian Inference in the Scaling Analysis of Critical Phenomena
2. Dimer-quadrupolar quantum phase transition in the quasi-one-dimensional Heisenberg model with biquadratic interactions
3. Quantum phase transition of the SU(N) quantum antiferromagnet
4. Quadrupolar order for the bilinear biquadratic models on two and three dimensional lattice
5. Quantum phase transition of the randomly diluted Heisenberg antiferromagnet on a square lattice
6. Universal jump in the helicity modulus and Kosterlitz-Thouless transition of the two-dimensional quantum XY model
7. Quantum world-line Monte Carlo method with non-binary loops
8. Coarse-grained algorithm for the softcore boson model
9. Coarse-grained loop algorithm for the quantum S general spin models
10. Loop algorithm for the bilinear biquadratic model

Demonstration by the JAVA applet

• Monte Carlo simulation for the Ising model: Swendsen-Wang algorithm and Wolff algorithm

---

$Id: study-en.html 86 2011-11-29 08:31:58Z kenji $