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Definition of the spin current: The angular spin current and its
Definition of the spin current: The angular spin current and its

Bridging scales in nuclear physics
Bridging scales in nuclear physics

... fermionic single-particle (sp) state is denoted |αi, where α is a set of quantum numbers needed to describe the state. In second quantization it is possible to write the same state as a fermionic creation operator acting on the vacuum, |αi = a†α |0i . We can also introduce an annihilation operator, ...
Superconductivity and Charge Order of Confined Fermi Systems
Superconductivity and Charge Order of Confined Fermi Systems

107, 195303 (2011)
107, 195303 (2011)

Introduction: The 2p x-ray absorption spectrum of NiO
Introduction: The 2p x-ray absorption spectrum of NiO

... one-electron applies to a one-electron core excitation, not to the treatment of the valence electrons) to systems such as transition metal oxides one finds excellent agreement for the metal and oxygen K edges, whereas for the other edges, in particular the metal L2,3 edges, the agreement is poor. Th ...
An Introduction to
An Introduction to

... This probability density expression, which must integrate to unity, contains the factor of h-M because, as we saw in Chapter 1 when we learned about classical action, the integral of a coordinate-momentum product has units of Planck’s constant. Notice that the Boltzmann formula does not say that onl ...
Chapter 7. Statistical Mechanics
Chapter 7. Statistical Mechanics

... This probability density expression, which must integrate to unity, contains the factor of h-M because, as we saw in Chapter 1 when we learned about classical action, the integral of a coordinate-momentum product has units of Planck’s constant. Notice that the Boltzmann formula does not say that onl ...
One-phonon relaxation of localized electronic states in anharmonic nanoparticles
One-phonon relaxation of localized electronic states in anharmonic nanoparticles

... relaxation of a two-level system coupled to phonons. Formula (17) is the Fermi golden rule result for the rate of transitions between two electronic levels. It is given by a sum of two terms: the first one, proportional to nB (&), is the stimulated transition rate which is proportional to the numbe ...
Analytical approach to the helium
Analytical approach to the helium

Coupling-Matrix Approach to the Chern Number Calculation in
Coupling-Matrix Approach to the Chern Number Calculation in

... over 400 disorder configurations for sample size N = 48 × 48. ...
here
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...  Regular fermion basis  We can count regular fermions  We can pair Majoranas into regular fermions and measure them  How to chose? Number of pairings:  Overlap between states  To observe the state of the system we need to “fuse” two Majoranas ...
The effect of Kondo correlations on the absorption spectrum of
The effect of Kondo correlations on the absorption spectrum of

... the ln (TK /T ) term diverges as T → 0, it is clear that Kondo’s calculation can not be valid at low temperatures and that a more comprehensive theory is needed to explain the low temperature behaviour. This problem of finding a solution valid in the low temperature regime T → 0 is known as the ’Kon ...
1 Transport of Dirac Surface States
1 Transport of Dirac Surface States

Kitaev - Anyons
Kitaev - Anyons

... one-dimensional. The corresponding anyons are called Abelian. But one can also consider multidimensional representations of the braid group; in this case the anyons are called non-Abelian. Actually, it may not be so important how the braid group acts, but the very existence of a multidimensional spa ...
Nonequilibrium quantum fluctuations of a dispersive medium: Spontaneous emission, photon statistics,
Nonequilibrium quantum fluctuations of a dispersive medium: Spontaneous emission, photon statistics,

... We study the implications of quantum fluctuations of a dispersive medium, under steady rotation, either in or out of thermal equilibrium with its environment. A rotating object exhibits a quantum instability by dissipating its mechanical motion via spontaneous emission of photons, as well as interna ...
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... the Wineland sense.  But this does not mean that all states with no Wineland squeezing are of fully separable form  In particular, there can be entangled states with ...
An introduction to topological phases of electrons
An introduction to topological phases of electrons

Algebraic approach to interacting quantum systems
Algebraic approach to interacting quantum systems

... complementary idea of emergent symmetry, i.e. the fact that new symmetries not realized in the Hamiltonian describing the system can emerge at low energies. There are many instances in which the high-symmetry, low-energy, effective theory can be derived in an exact way, i.e. without appealing to appr ...
Topological Superconductivity in Artificial Heterostructures
Topological Superconductivity in Artificial Heterostructures

Electromagnetic vacuum fluctuations, Casimir and Van der Waals
Electromagnetic vacuum fluctuations, Casimir and Van der Waals

... an important step in this direction was the Lifshitz theory of the Casimir force between two dielectric bulks [10, 11]. Here we will use the general expression of the Casimir force obtained for two plane mirrors characterized by arbitrary frequency dependent reflection amplitudes [12]. This expressi ...
Introduction to Magnetic Resonance Imaging Techniques
Introduction to Magnetic Resonance Imaging Techniques

... the company of a grown-up. “Spin Dynamics: Basics of Nuclear Magnetic Resonance” by Malcolm H. Levitt. Covers theoretical aspects of MR spectroscopy as used in chemical analysis and is thus irrelevant to most who work with MR image analysis. Excels in clear, coherent writing and a description of qua ...
Quantum steam tables. Free energy calculations for H2O, D2O, H2S
Quantum steam tables. Free energy calculations for H2O, D2O, H2S

... transformed from a path integral over all closed orbits to an infinite-dimensional Riemann integral; for a system with N internal degrees of freedom, this yields ...
Theoretical Investigations Regarding Single Molecules
Theoretical Investigations Regarding Single Molecules

Synthetic Quantum Systems
Synthetic Quantum Systems

... two superconductors. For the latter the barrier consists of a thin insulator. However, the similarity arises from the fact that all three systems are describable within a similar model. The modes are associated with two macroscopic wave functions with an overall phase for each. These wave functions ...
PDF (MRI lecture notes for Letter paper format)
PDF (MRI lecture notes for Letter paper format)

... company of a grown-up. “Spin Dynamics: Basics of Nuclear Magnetic Resonance” by Malcolm H. Levitt. Covers theoretical aspects of MR spectroscopy as used in chemical analysis and is thus irrelevant to most who work with MR image analysis. Excels in clear, coherent writing and a description of quantum ...
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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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