Classification of Topologically ordered Phases
... Selection rule forces the nonlocal order to vanish if edge spins are fractionalized ...
... Selection rule forces the nonlocal order to vanish if edge spins are fractionalized ...
Strongly perturbed Stark states and electron correlation in Ba F. Robicheaux,
... The spectrum of an H atom in a static electric field 共assumed to be in the z direction兲 is relatively simple because the wave function is separable in parabolic coordinates; r ⫹z, r⫺z, and . The spectrum of an alkali-metal atom in an electric field is much more complicated because this separation ...
... The spectrum of an H atom in a static electric field 共assumed to be in the z direction兲 is relatively simple because the wave function is separable in parabolic coordinates; r ⫹z, r⫺z, and . The spectrum of an alkali-metal atom in an electric field is much more complicated because this separation ...
Problems Chapter 9
... have choosen a phase for basis vectors this choice is valid for every linear combination. There is one more subtle point. When we write Σ matrices in the usual form we have in effect done a choice of phases, for example Σy has purely imaginary elements, how this combine with the above freedom in pha ...
... have choosen a phase for basis vectors this choice is valid for every linear combination. There is one more subtle point. When we write Σ matrices in the usual form we have in effect done a choice of phases, for example Σy has purely imaginary elements, how this combine with the above freedom in pha ...
Quantum Control in the Classical Limit: Can the
... processes --- highly successful for isolated molecular processes. 2. Coherent Control is based on the interference between pathways to the same final state. Such control is often manifest via a dependence on eatures such as relative phases of incident laser fields. 3. But there are classical analogs ...
... processes --- highly successful for isolated molecular processes. 2. Coherent Control is based on the interference between pathways to the same final state. Such control is often manifest via a dependence on eatures such as relative phases of incident laser fields. 3. But there are classical analogs ...
Trionic optical potential for electrons in semiconductors ARTICLES *
... of quantum dots with one electron each17 . Realizations relying on delta doping layers may present problems owing to ionized doping centres, which generate a random potential in the plane of the quantum well. However, according to direct scanning probe techniques, this potential is characterized by ...
... of quantum dots with one electron each17 . Realizations relying on delta doping layers may present problems owing to ionized doping centres, which generate a random potential in the plane of the quantum well. However, according to direct scanning probe techniques, this potential is characterized by ...
MATTER UNIFIED ISBN 91-973818-7-X 12
... and its spatial radius In the formula 0217 it has on arbitrary basis been assumed a close relation between a particles mass and its radius in relation to the same parameters of an electron. In the first instance the idea was that mass density of all particles are the same. But that not seems true be ...
... and its spatial radius In the formula 0217 it has on arbitrary basis been assumed a close relation between a particles mass and its radius in relation to the same parameters of an electron. In the first instance the idea was that mass density of all particles are the same. But that not seems true be ...
QUANTUM SPIN GLASSES Heiko Rieger and A. Peter Young
... exponent is z = 2, the correlation length exponent ν = 1/4 and the nonlinear susceptibility diverges with an exponent γ = 1/2. The latter again implies a divergence of the non-linear susceptibility. Although it is much weaker than for short range interaction models it should clearly be observable. H ...
... exponent is z = 2, the correlation length exponent ν = 1/4 and the nonlinear susceptibility diverges with an exponent γ = 1/2. The latter again implies a divergence of the non-linear susceptibility. Although it is much weaker than for short range interaction models it should clearly be observable. H ...
Linköping University Post Print New quantum limits in plasmonic devices
... of which of the two estimates we use. Assuming η ∼ 1, we can deduce a number of properties of the resonant plasmon field inside the transition layer using the solutions to (6). With n0 (x) determined by (8), we can now treat the full quantum case. We start with the simple observation that q(x) is ind ...
... of which of the two estimates we use. Assuming η ∼ 1, we can deduce a number of properties of the resonant plasmon field inside the transition layer using the solutions to (6). With n0 (x) determined by (8), we can now treat the full quantum case. We start with the simple observation that q(x) is ind ...
Renormalization
In quantum field theory, the statistical mechanics of fields, and the theory of self-similar geometric structures, renormalization is any of a collection of techniques used to treat infinities arising in calculated quantities.Renormalization specifies relationships between parameters in the theory when the parameters describing large distance scales differ from the parameters describing small distances. Physically, the pileup of contributions from an infinity of scales involved in a problem may then result in infinities. When describing space and time as a continuum, certain statistical and quantum mechanical constructions are ill defined. To define them, this continuum limit, the removal of the ""construction scaffolding"" of lattices at various scales, has to be taken carefully, as detailed below.Renormalization was first developed in quantum electrodynamics (QED) to make sense of infinite integrals in perturbation theory. Initially viewed as a suspect provisional procedure even by some of its originators, renormalization eventually was embraced as an important and self-consistent actual mechanism of scale physics in several fields of physics and mathematics. Today, the point of view has shifted: on the basis of the breakthrough renormalization group insights of Kenneth Wilson, the focus is on variation of physical quantities across contiguous scales, while distant scales are related to each other through ""effective"" descriptions. All scales are linked in a broadly systematic way, and the actual physics pertinent to each is extracted with the suitable specific computational techniques appropriate for each.