Real-Space Renormalization-Group Method for Quantum Systems
In contrast with classical systems, quantum systems exhibit fluctuations already at T = 0 due to the nature of quantum mechanics. A wide range of quantum systems show interesting transitions at T = 0 by varying a given parameter. This should be compared with the transitions in temperature of classical systems and, in many cases, a rigorous mapping has been established. The equivalent of a T = 0 quantum system in D dimension is generally a D+1 classical system. This comes from the fact that a quantum hamiltonian contains its own dynamics and thus the time plays the role of an extra dimentionality So, an interesting first step to understand the physics of quantum systems is to study their ground state properties. This is either an interesting problem in itself or an indirect way to study the classical equivalent.
KeywordsQuantum System Ising Model Classical System Triangular Lattice Transverse Field
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