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Slide 1
Slide 1

... Tissue relaxation rates and pulse sequence specifics determine Tissue contrast – all understood via the classical Bloch equations ...
January 20, 2004 9:50 WSPC/140-IJMPB 02353
January 20, 2004 9:50 WSPC/140-IJMPB 02353

... In the following, we first calculate the spin current in the Rashba and Luttinger models and then discuss the topological part of the spin current. For the Luttinger Hamiltonian, we show that the expectation value for the spin current in the heavy hole and light hole states differs by exactly a minu ...
Chapter 3 Statistical thermodynamics
Chapter 3 Statistical thermodynamics

... 3.1.5 Non-localized system Basic particles can not be distinguished from each other. Such as, the gas molecule can not be distinguished from each other. When the particles are the same,its microcosmic state number is less than the localized system. ...
Pairing in a system of a few attractive fermions in a harmonic trap
Pairing in a system of a few attractive fermions in a harmonic trap

... pair which can be compared to the size of the whole manybody system. The latter is not the single particle extension determined by the characteristic length of the ground state of the external trap [35], in particular for attractive systems. The size of the system can be determined from a correlated ...
Numerical Methods for strongly correlated electrons
Numerical Methods for strongly correlated electrons

On Quantum Sieve Approaches to the Lattice
On Quantum Sieve Approaches to the Lattice

... algorithm. To see this, note that is is sufficient to find an r such that sh(L) ≤ r ≤ 2 ∗ sh(L). Then for an LLLreduced basis B, we have ||b1 || ≤ 2n ∗ sh(L) and so there are n possible values of a constant c so that r = 2−c ∗ ||b1 ||. Then we can simply try our algorithm with each value of c until we ...
Canonically conjugate pairs and phase operators
Canonically conjugate pairs and phase operators

... tn = (−1)n+1 /(an)2 .PThe corresponding energy eigenvalues ǫk = −t0 − 2 n≥1 tn cos (akn) are just the well known Fourier series which corresponds to the periodically continued parabola arcs. In the following we mainly work with the Hamiltonian H = k̂ 2 /2 + V (x̂), which is a special case of Eq. (1) ...
Differential Conductance of Magnetic Impurities on a
Differential Conductance of Magnetic Impurities on a

... The Kondo effect arises from the scattering of conduction electrons off local magnetic moments. This was first observed in 1934 in gold that contained a very low concentration of magnetic impurities.1 However, the same basic phenomenon occurs in heavy-fermion materials which contain one or more magn ...
Lattice Vibrations, Phonons, Specific Heat Capacity, Thermal
Lattice Vibrations, Phonons, Specific Heat Capacity, Thermal

... As we know that the density of states D(E) of conduction electrons are strongly affected by the dimensionality of a material, phonons also have a density of states D(PH) which depends on the dimensionality, and like its electronic counterpart, it influences some properties of solids. In specific, th ...
Unusual ordered phases of highly frustrated magnets: a review
Unusual ordered phases of highly frustrated magnets: a review

The Toda Lattice
The Toda Lattice

... come equipped with a Poisson bracket which we can think of as locally giving a separation of coordinates into positions and momenta, and time evolution of functions is controlled by Hamilton’s equation df = {H, f }. dt This motivates the following definition. Definition 1.2. A conserved quantity in ...
Site-resolved imaging of a fermionic Mott insulator
Site-resolved imaging of a fermionic Mott insulator

... on the charge entropy (i.e. entropy involving density excitations in the atomic cloud) of 0.175, kB [28]. Because the fermionic particles are in two different spin states, the total entropy also contains a contribution from the spin entropy. From the fitted temperatures we calculate the total entrop ...
Coherent Population Trapping of an Electron Spin in a Singly
Coherent Population Trapping of an Electron Spin in a Singly

... to form a three-level lambda system. Since the hole g-factor is nonzero in InAs self-assembled QDs, the optical transitions with orthogonal polarizations from a trion state to the spin ground states are non-degenerate, thus suppressing the spontaneously generated coherence which was observed in GaAs ...
Quantum Monte Carlo study of a disordered 2D Josephson junction array
Quantum Monte Carlo study of a disordered 2D Josephson junction array

... second energy which becomes important in small grains, namely the charging energy of the grains [5]. The crucial physics is then determined by the competition between this charging energy and the Josephson coupling energy. If the charging energy is sufficiently large, then it becomes prohibitively exp ...
Source
Source

Parametric evolution of eigenstates: Beyond perturbation theory and
Parametric evolution of eigenstates: Beyond perturbation theory and

... restricted QCC holds even if the 共fragile兲 detailed QCC fails completely. We have verified that also in the present system ␦E is numerically indistinguishable from ␦Ecl. A fixed assumption of this work is that ␾ is classically small. But quantum mechanically it can be either “small” or “large.” Quan ...
Topological phases of matter
Topological phases of matter

Probing freeze-out conditions and chiral cross-over inheavy
Probing freeze-out conditions and chiral cross-over inheavy

... function i.e. LQCD data as the solution of QCD at finite temperature, and confront them with ALICE data taken in central Pb-Pb collisions at s  2.75 TeV ...
Sequence-specific assignments
Sequence-specific assignments

... This alternative technique does not focus on assigning all the spin systems first. Rather, it focuses on the backbone and links sizable stretches of backbone residues via sequential (i,i+1) nOe’s and other nOe’s that are characteristic of secondary structures (more on this in a second). This techniq ...
Critical nuclear charge of quantum mechanical three
Critical nuclear charge of quantum mechanical three

Parton model from bi-local solitonic picture of the baryon in two-dimensions
Parton model from bi-local solitonic picture of the baryon in two-dimensions

Topological properties of a Valence-Bond
Topological properties of a Valence-Bond

Electrical current carried by neutral quasiparticles - KITP
Electrical current carried by neutral quasiparticles - KITP

... and the ␶ i are Pauli matrices which act on the particle-hole index a. If we consider the four-component object as composed of two two-component blocks, the upper and lower blocks, then the ␶ i mix the components within a block. There are also Pauli matrices ␴ i which act on the spin indices ␣ and m ...
Unusual ordered phases of highly frustrated magnets: a review
Unusual ordered phases of highly frustrated magnets: a review

... Extensive later studies, which are reviewed in34 , have indeed identified classical chiral spin liquid state in a narrow temperature interval TKT < T < TIsing : here TIsing denotes the onset of the chiral long-range order, hκi = 6 0, while the spin (quasi) long-range order emerges only below smaller ...
Atom-Light Interactions - Durham University Community
Atom-Light Interactions - Durham University Community

... In reality of course, atomic excited states have finite lifetimes. They decay by spontaneous emission - the emission of a photon into the empty modes of the electric field surrounding the atom. To describe atom-light interactions properly, we must include this process. Formally, we would need to wri ...
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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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