TY - BOOK AU - Bouillot,Pierre ED - SpringerLink (Online service) TI - Statics and Dynamics of Weakly Coupled Antiferromagnetic Spin-1/2 Ladders in a Magnetic Field T2 - Springer Theses, Recognizing Outstanding Ph.D. Research, SN - 9783642338083 AV - QA76.889 U1 - 621.3 23 PY - 2013/// CY - Berlin, Heidelberg PB - Springer Berlin Heidelberg, Imprint: Springer KW - Physics KW - Quantum physics KW - Solid state physics KW - Quantum computers KW - Spintronics KW - Quantum Information Technology, Spintronics KW - Solid State Physics KW - Numerical and Computational Physics KW - Quantum Physics N1 - Introduction -- Spin-1/2 ladders -- Methods -- Static properties and NMR relaxation rate -- Dynamical correlations of a spin ladder -- Conclusions and perspectives N2 - This thesis shows how a combination of analytic and numerical techniques, such as a time dependent and finite temperature Density Matrix Renormalization Group (DMRG) technique, can be used to obtain the physical properties of low dimensional quantum magnets with an unprecedented level of accuracy. A comparison between the theory and experiment then enables these systems to be used as quantum simulators; for example, to test various generic properties of low dimensional systems such as Luttinger liquid physics, the paradigm of one dimensional interacting quantum systems. Application of these techniques to a material made of weakly coupled ladders (BPCB) allowed the first quantitative test of Luttinger liquids. In addition, other physical quantities (magnetization, specific heat etc.), and more remarkably the spin-spin correlations – directly measurable in neutron scattering experiments – were in excellent agreement with the observed quantities. We thus now have tools to quantitatively assess the dynamics for this class of quantum systems UR - http://dx.doi.org/10.1007/978-3-642-33808-3 ER -