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The use of spin-pure and non-orthogonal Hilbert spaces in Full
The use of spin-pure and non-orthogonal Hilbert spaces in Full

... known, and the difficulty is only in that the exact application of these laws leads to equations much too complicated to be soluble. It therefore becomes desirable that approximate practical methods of applying quantum mechanics should be developed. The most commonly used models, in particular Hartr ...
Title First Name Last
Title First Name Last

Beyond Effective Potential via Variational Perturbation Theory
Beyond Effective Potential via Variational Perturbation Theory

... In the vast majority of cases, information about a physical system can only be obtained by means of approximation methods. This is due to the fact that the equations which describe physical phenomena normally cannot be solved analytically. Therefore, over the course of the history of physics, many d ...
Spin-related transport phenomena in HgTe
Spin-related transport phenomena in HgTe



Amplitude spectroscopy of two coupled qubits
Amplitude spectroscopy of two coupled qubits

... Recently much attention has been focused on the spectroscopy of Josephson-junction superconducting circuits with a weak link which can be considered as “macroscopic atoms,” with sizes of the order of tens or hundreds of micrometers.1,2 Single Josephson-junction qubits are characterized by relatively ...
Review Sheet on Determining Term Symbols
Review Sheet on Determining Term Symbols

... momentum, and spin multiplicity of an atom in any particular state. The general form is given as aTj where T is a capital letter corresponding to the value of L (the angular momentum quantum number) and may be assigned as S, P, D, F, G, … for |L| = 0, 1, 2, 3, 4, … respectively. The superscript “a” ...
Ultracold atoms in optical lattices generated by quantized light fields
Ultracold atoms in optical lattices generated by quantized light fields

... 1D [13,14] and the Berezinskii-Kosterlitz-Thouless phase transition in 2D [15]. Theoretically many more proposals to apply these methods to spin systems and investigate further fascinating properties of strongly correlated systems were put forward (see [16] for a review). In all of these approaches, ...
Optical properties of cylindrical nanowires
Optical properties of cylindrical nanowires

... classical scattering. Usually it is assumed that the wavelength of the incident light is sufficiently larger than the wire radius in order to neglect the spatial variance of the electromagnetic (EM) field within the wire, which justifies considering the response of the nanowire to the incident light ...
A Short Course on Topological Insulators
A Short Course on Topological Insulators

Relativistic Effects in Atomic Spectra
Relativistic Effects in Atomic Spectra

... detailed discussion we specify the general corrections for all ground and first excited states of Lithium, Beryllium, Boron, Carbon, Nitrogen, Oxygen and Fluorine. For Neon the PT model offers only the ground state which undergoes some relativistic shift but no splitting. In particular we find theor ...
Spin-Orbital Order Modified by Orbital Dilution in Transition Metal
Spin-Orbital Order Modified by Orbital Dilution in Transition Metal

... presence of charge defects in Y1−x Cax VO3 . Already at low x ' 0.02 doping the spin-orbital order changes and spectral weight is generated within the Mott-Hubbard gap [58]. Although one might imagine that the orbital degree of freedom is thereby removed, a closer inspection shows that this is not t ...
TIME-REVERSAL INVARIANT TOPOLOGICAL INSULATORS A
TIME-REVERSAL INVARIANT TOPOLOGICAL INSULATORS A

Resonant Magnetization Tunneling in Molecular Magnets
Resonant Magnetization Tunneling in Molecular Magnets

Spin-orbit coupling effects in two
Spin-orbit coupling effects in two

Quantum diffusion with disorder, noise and interaction
Quantum diffusion with disorder, noise and interaction

... quantum systems, but a detailed understanding of their combined action is still lacking. The interest in this general problem is found in fields ranging from electronic systems [1], spin glasses [2] and nanoscale quantum Brownian motors [3], to quantum communication [4, 5] and the physics of biologi ...
here
here

c 2012 by Sarang Gopalakrishnan. All rights reserved.
c 2012 by Sarang Gopalakrishnan. All rights reserved.

... show by means of a mapping to a variant of the Hopfield associative-memory model [2, 3] that such systems exhibit a spin-glass phase. Finally, we consider a different ultracold-atomic setting—that of spin-orbitcoupled Bose gases—in which the Brazovskii effect has a profound influence on the low-temp ...
pdf
pdf

Quantum groups and integrable lattice models UMN Math Physics Seminar
Quantum groups and integrable lattice models UMN Math Physics Seminar

... Consider an (N + 1)-fold tensor product V0 ⊗ V1 ⊗ · · · ⊗ VN (Vi = V ) and let Rij be the operator acting on the Vi ⊗ Vj component of this product as R and as identity on any other Vl . R0N . . . R02 R01 : V0 ⊗ (V1 ⊗ · · · ⊗ VN ) → V0 ⊗ (V1 ⊗ · · · ⊗ VN ) ...
Long-time behavior of nuclear spin decays in various lattices
Long-time behavior of nuclear spin decays in various lattices

... lattices at the level of spin correlation functions.10,18 According to the analysis of Ref. 17, almost any initial probability distribution in a chaotic classical spin system would evolve to exhibit universal patterns associated with stable and unstable directions in the phase space. These patterns ...
Local unitary transformation, long-range quantum
Local unitary transformation, long-range quantum

abstract
abstract

... Quantum criticality (QC) in heavy fermion systems has been studied mainly for Kondo lattice systems with integer valence where a quantum critical point is usually expected to be on the border of magnetism. On the other hand, the first Yb-based heavy fermion superconductor -YbAlB4 provides a unique ...
drastically
drastically

Full Text - University of Arizona
Full Text - University of Arizona

... The interference pattern of a set of intersecting laser beams can create a stable periodic potential for neutral atoms through the AC Stark shift (light shift), which can trap, and thereby organize atoms in an ordered, crystal-like structure. Historically, interest in these "optical lattices" grew o ...
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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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