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Author : Benedikt Fauseweh
Release : 2016
Genre :
Kind : eBook
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Book Synopsis Dynamic Correlations in One-dimensional Quantum Magnets at Finite Temperature by : Benedikt Fauseweh
Download or read book Dynamic Correlations in One-dimensional Quantum Magnets at Finite Temperature written by Benedikt Fauseweh. This book was released on 2016. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Carsten Luckmann
Release : 2008
Genre :
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Book Synopsis Finite Temperature Dynamics of One-dimensional Quantum Magnets by : Carsten Luckmann
Download or read book Finite Temperature Dynamics of One-dimensional Quantum Magnets written by Carsten Luckmann. This book was released on 2008. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alexander Clemens Tiegel
Release : 2016
Genre :
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Book Synopsis Finite-temperature Dynamics of Low-dimensional Quantum Systems with DMRG Methods by : Alexander Clemens Tiegel
Download or read book Finite-temperature Dynamics of Low-dimensional Quantum Systems with DMRG Methods written by Alexander Clemens Tiegel. This book was released on 2016. Available in PDF, EPUB and Kindle. Book excerpt: This thesis is concerned with the numerical study of one-dimensional (1D) spin-1/2 quantum magnets and related method development. Its focus is on the calculation of dynamical spin correlation functions both at zero and finite temperature. This is motivated by the accessibility of dynamical quantities in experiments such as inelastic neutron scattering (INS) and electron spin resonance (ESR). The numerical methods used in this thesis are based on extensions of the density-matrix renormalization group (DMRG) and are formulated in the framework of matrix product states (MPS). While zero-tempe...
Author : Pierre Bouillot
Release : 2012-12-14
Genre : Computers
Kind : eBook
Book Rating : 089/5 ( reviews)
Book Synopsis Statics and Dynamics of Weakly Coupled Antiferromagnetic Spin-1/2 Ladders in a Magnetic Field by : Pierre Bouillot
Download or read book Statics and Dynamics of Weakly Coupled Antiferromagnetic Spin-1/2 Ladders in a Magnetic Field written by Pierre Bouillot. This book was released on 2012-12-14. Available in PDF, EPUB and Kindle. Book excerpt: 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 spins-spin correlations – directly measurable in neutron scattering experiments – were in excellent agreement with the observed quantities. We thus now have tools to quantitatiively assess the dynamics for this class of quantum systems.
Author : Stefano Evangelisti
Release : 2013-05-31
Genre : Science
Kind : eBook
Book Rating : 096/5 ( reviews)
Book Synopsis Quantum Correlations in Field Theory and Integrable Systems by : Stefano Evangelisti
Download or read book Quantum Correlations in Field Theory and Integrable Systems written by Stefano Evangelisti. This book was released on 2013-05-31. Available in PDF, EPUB and Kindle. Book excerpt: This doctoral thesis analytically and numerically examines some of the most important concepts in quantum correlations in low-dimensional physics: entanglement and out-of-equilibrium dynamics. As John Bell once said: "Entanglement expresses the spooky nonlocality inherent to quantum mechanics", and its study not only concerns the foundations of any quantum theory, but also has important applications in quantum information and condensed matter theory, amongst others. The first chapters are devoted to the study of "entanglement entropies", a popular measure of the "quantumness" of a physical system. The main focus of the analysis is the one-dimensional XYZ spin-1/2 chain in equilibrium, an interacting theory which in addition to being integrable also has interesting scaling limits, such as the sine-Gordon field theory. Moving away from equilibrium the subsequent chapters deal with the dynamics of quantum correlators after an instantaneous quantum quench. The emphasis is on two different models and techniques; the transverse field Ising chain is studied using the form-factor approach and the O(3) non-linear sigma model is studied by means of the semi-classical theory. In the final chapter the author highlights an important general result: in the absence of long-range interactions in the final Hamiltonian the dynamics of a quantum system are determined by the same statistical ensemble that describes static correlations.
