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Nuclei, Excitation, Relaxation
Nuclei, Excitation, Relaxation

Quantum relaxation of magnetisation in magnetic particles
Quantum relaxation of magnetisation in magnetic particles

... combined effects of nuclear spins, phonons, and electrons, which is what we do here. As we shall see, it is impossible to give a realistic analysis without putting them all together. The theory in this paper is partly based on previous work on quantum coherence in magnetic grains, t~ 26.25 In that w ...
Spin-dependent Transport of Interacting Electrons in Mesoscopic
Spin-dependent Transport of Interacting Electrons in Mesoscopic

Non-locally sensing the spin states of individual atomic
Non-locally sensing the spin states of individual atomic

... T1 that can be detected above the noise of the pump probe measurement. This signal-to-noise ratio can be optimized by reducing T1 of Fe3 and increasing the repetition rate of the pump probe experiment so that it effectively scales as T1 / T1 (Fig. S1) (22). For measurements with a fixed integratio ...
Nuclear Spins in Quantum Dots
Nuclear Spins in Quantum Dots

... in the theoretical physics group in Delft. In the beginning of my PhD I knew that I wanted to work on electron spins and quantum dots but I only had vague ideas about what that entailed. With time these ideas became more clear, largely with the help of my supervisors, and I found myself working on t ...
Linear spin wave theory - Paul Scherrer Institut
Linear spin wave theory - Paul Scherrer Institut

... New operator b with the following transformation: b =ua + va+ b + =ua+ + va The new operator has to fulfill the commutation relations: [b, b + ] = 1 → u2 + v 2 = 1 With the right parameter choice: X  ...
Local current distribution and hot spots in the integer quantum... Yonatan Dubi, Yigal Meir, and Yshai Avishai
Local current distribution and hot spots in the integer quantum... Yonatan Dubi, Yigal Meir, and Yshai Avishai

... left- and right-going channel. In accordance with the physics at strong magnetic fields there is no scattering in the junctions 共valleys兲 and the edge state continues propagating uninterrupted according to its chirality 关see Fig. 1共a兲兴, while the scattering occurs on the link 共saddle point兲 itself. ...
Applied Gauge/Gravity Duality from Supergravity to Superconductivity Francesco Aprile
Applied Gauge/Gravity Duality from Supergravity to Superconductivity Francesco Aprile

... comes from the lack of a field theory explanation for the properties of several many body systems: the high-Tc superconductors. There is a strong experimental evidence indicating that the electronic properties of these materials are remarkably different with respect to those of the conventional mate ...
Transport Properties of Interacting Edge Modes in 2D Topological
Transport Properties of Interacting Edge Modes in 2D Topological

... Figure 1.1: Chiral edge states of a quantum Hall device (Source: [16]) Integer quantum Hall effects are observed in 2D electron systems with a perpendicular magnetic eld applied, which breaks time-reversal symmetry [20, 9, 34]. The prominent properties of such systems are that they are insulators in ...
DIPLOMA THESIS Classical Chaos in Collective Nuclear Models
DIPLOMA THESIS Classical Chaos in Collective Nuclear Models

... In the systems with ‘soft’ potential, finding the periodic orbits is more involved since the trajectories are not known a priori and need to be found solving the equations of motion. In our work, we studied numerically the classical limit of the Interacting Boson Model of nuclear dynamics at zero an ...
Spin-orbit coupling in superconductor-normal metal
Spin-orbit coupling in superconductor-normal metal

... resulting in a ground state of paired electrons. However, two electrons in free space do not form a paired state due to the same weak interaction. Rather, electrons near the Fermi level are needed for such Cooper pairs to be formed. The Cooper pairing opens a gap in the energy spectrum of the electr ...
2. Electron spin dynamics in quantum dots
2. Electron spin dynamics in quantum dots

... factor g = −0.44 for GaAs this corresponds to an effective magnetic field of the order of a few tesla. For a completely unpolarized nuclear spin system √ the strength of the hyperfine field is fluctuating around zero with a typical value given by A/ N , where N is the number of nuclei in the dot eff ...
Exact solution of a massless scalar field with a relevant
Exact solution of a massless scalar field with a relevant

... the scattering of the bulk particles is no longer trivial or even diagonal. We describe such processes by massless scattering [12,13,11]. The integrability of the model is crucial to such a description. In a basis with well-defined charges, all collisions must be completely elastic, so that momenta ...
I. Bell`s Theorem (pdf file)
I. Bell`s Theorem (pdf file)

... The essential Bell Inequality is the general statement we can make about an ensemble of many objects that each can have three attributes, A, B, and C: N(A, not B) + N(B, not C) ≥ N(A, not C) Here’s the proof. Proof: The proof involves considering three conditions at once, such as N(A, not B,C ), “th ...
Density instabilities in multi-layer dipolar Fermi gases
Density instabilities in multi-layer dipolar Fermi gases

... In this first chapter we are going to illustrate the introductory material and basic tools that will be needed later. We first are going to introduce the basic concepts about the linear response theory, in general terms, and then focus more specifically on its application to the study of density ins ...
Multiply Excited Intra
Multiply Excited Intra

... Appendix A: This appendix gives a summary of the results of the representation theory of the permutation group used in chapter 2. Appendix B: Here computer programs used in classifying atomic states in chapter 2 are discussed. Appendix C: Here some of the computer programs used in making atomic stat ...
Non-perturbative approaches to transport in nanostructures and
Non-perturbative approaches to transport in nanostructures and

... study different effects of interaction effects. In a first approximation both can be seen as a small spatial region, connected (or not) in some way to a bulk metal, where electrons get confined by some boundaries. The electrostatic energy associated to the addition of a single electron in such regio ...
Theories of Experimentally Observed Excitation
Theories of Experimentally Observed Excitation

... existing theories in order to allow a quantitative interpretation of experimentally measured quantities. This quantitative analysis then allows comparison across different experimental techniques helping to build an overall consistent experimental picture. The occurrence of these two approaches in a ...
Quantum Computation with Molecular Nanomagnets
Quantum Computation with Molecular Nanomagnets

... mathematical description that accounts – at the same time – for the dynamics of the quantum system and for the calculation rules on which the algorithm relies. Experimentally, performing quantum computation implies to control the dynamics of the quantum system under the action of an external stimulu ...
Elastic rod model of a supercoiled DNA molecule
Elastic rod model of a supercoiled DNA molecule

... aim is to show how the RLC model, once it has been properly formulated, can be solved exactly: by exact, we mean that the predictions of the model can be computed by a mixture of analytic and numerical methods to any desired precision. The first conclusive work able to fit the experimental data from a ...
films obtained by sequential quench-anneal processing Ultra-thin silver ⁎ S.B. Arnason
films obtained by sequential quench-anneal processing Ultra-thin silver ⁎ S.B. Arnason

... technique of great interest. One of the more exciting recent developments in this field has been the realization that the “two-step” growth process, quench condensing of a metallic film onto a cryogenically cooled substrate, followed by annealing to room temperature, can produce epitaxial thin films of ...
Quantum Gravity as Sum over Spacetimes
Quantum Gravity as Sum over Spacetimes

Applied field Mössbauer study of shape anisotropy in Fe nanowire
Applied field Mössbauer study of shape anisotropy in Fe nanowire

... Recently, the fabrication and magnetic properties of highly ordered magnetic nanowire arrays have been extensively investigated owing to their potential application in ultrahigh density magnetic recording media.1–4 The unique and tunable magnetic properties of nanowire arrays arise from the inherent ...
Spin-orbit coupling effects, interactions and superconducting
Spin-orbit coupling effects, interactions and superconducting

... coupling (SOI) and Coulomb interaction in carbon nanotubes (CNTs) as well as quantum wires. We derive low energy theories for both systems, using the bosonization technique and obtain analytic expressions for the correlation functions that allow us to compute basically all observables of interest. W ...
Spin filtering and entanglement detection due to spin-orbit interaction
Spin filtering and entanglement detection due to spin-orbit interaction

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Ising model

The Ising model (/ˈaɪsɪŋ/; German: [ˈiːzɪŋ]), named after the physicist Ernst Ising, is a mathematical model of ferromagnetism in statistical mechanics. The model consists of discrete variables that represent magnetic dipole moments of atomic spins that can be in one of two states (+1 or −1). The spins are arranged in a graph, usually a lattice, allowing each spin to interact with its neighbors. The model allows the identification of phase transitions, as a simplified model of reality. The two-dimensional square-lattice Ising model is one of the simplest statistical models to show a phase transition.The Ising model was invented by the physicist Wilhelm Lenz (1920), who gave it as a problem to his student Ernst Ising. The one-dimensional Ising model has no phase transition and was solved by Ising (1925) himself in his 1924 thesis. The two-dimensional square lattice Ising model is much harder, and was given an analytic description much later, by Lars Onsager (1944). It is usually solved by a transfer-matrix method, although there exist different approaches, more related to quantum field theory.In dimensions greater than four, the phase transition of the Ising model is described by mean field theory.
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