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Finite Temperature Dynamics of One-dimensional Quantum Magnets

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Release : 2008
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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:

Finite-temperature Dynamics of Low-dimensional Quantum Systems with DMRG Methods

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Release : 2016
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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...

Dynamic Correlations in One-dimensional Quantum Magnets at Finite Temperature

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Release : 2016
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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:

Statics and Dynamics of Weakly Coupled Antiferromagnetic Spin-1/2 Ladders in a Magnetic Field

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Release : 2012-12-14
Genre : Computers
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Book Rating : 089/5 ( reviews)

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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.

Tensor Network States and Effective Particles for Low-Dimensional Quantum Spin Systems

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Release : 2017-08-10
Genre : Science
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Book Rating : 913/5 ( reviews)

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Book Synopsis Tensor Network States and Effective Particles for Low-Dimensional Quantum Spin Systems by : Laurens Vanderstraeten

Download or read book Tensor Network States and Effective Particles for Low-Dimensional Quantum Spin Systems written by Laurens Vanderstraeten. This book was released on 2017-08-10. Available in PDF, EPUB and Kindle. Book excerpt: This thesis develops new techniques for simulating the low-energy behaviour of quantum spin systems in one and two dimensions. Combining these developments, it subsequently uses the formalism of tensor network states to derive an effective particle description for one- and two-dimensional spin systems that exhibit strong quantum correlations. These techniques arise from the combination of two themes in many-particle physics: (i) the concept of quasiparticles as the effective low-energy degrees of freedom in a condensed-matter system, and (ii) entanglement as the characteristic feature for describing quantum phases of matter. Whereas the former gave rise to the use of effective field theories for understanding many-particle systems, the latter led to the development of tensor network states as a description of the entanglement distribution in quantum low-energy states.

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