By Pierre Bouillot (auth.)
This thesis exhibits how a mix of analytic and numerical ideas, resembling a time established and finite temperature Density Matrix Renormalization team (DMRG) method, can be utilized to acquire the actual houses of low dimensional quantum magnets with an remarkable point of accuracy. A comparability among the speculation and scan then permits those structures for use as quantum simulators; for instance, to check a number of everyday houses of low dimensional structures reminiscent of Luttinger liquid physics, the paradigm of 1 dimensional interacting quantum platforms. program of those thoughts to a cloth made up of weakly coupled ladders (BPCB) allowed the 1st quantitative try out of Luttinger beverages. furthermore, different actual amounts (magnetization, particular warmth etc.), and extra remarkably the spins-spin correlations – at once measurable in neutron scattering experiments – have been in very good contract with the saw amounts. We hence now have instruments to quantitatiively investigate the dynamics for this classification of quantum systems.
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