Algebraic Topology Foundations of Supersymmetry and Symmetry
... hand, we propose that several extended quantum symmetries can be represented algebraically in terms of certain structured groupoids, their C ∗ -convolution quantum algebroids, paragroup/quantized groups and/or other more general mathematical structures that will be introduced in this report. It is a ...
... hand, we propose that several extended quantum symmetries can be represented algebraically in terms of certain structured groupoids, their C ∗ -convolution quantum algebroids, paragroup/quantized groups and/or other more general mathematical structures that will be introduced in this report. It is a ...
Mean spin direction and spin squeezing in superpositions of spin
... To illustrate the above finding, we plot in Fig. 1, the azimuth angle and the polar angle versus the relative phase γ for state 1. Dependent on γ, the angle takes only two values, and they differ by π, implying that the MSD is always in a same plane. The azimuth angle displays a π transition at γ = 0, ...
... To illustrate the above finding, we plot in Fig. 1, the azimuth angle and the polar angle versus the relative phase γ for state 1. Dependent on γ, the angle takes only two values, and they differ by π, implying that the MSD is always in a same plane. The azimuth angle displays a π transition at γ = 0, ...
"Loop Quantum Gravity" (Rovelli)
... For a relativist, on the other hand, the idea of a fundamental description of gravity in terms of physical excitations over a background space sounds physically wrong. The key lesson learned from general relativity is that there is no background metric space over which physics happens (except, of co ...
... For a relativist, on the other hand, the idea of a fundamental description of gravity in terms of physical excitations over a background space sounds physically wrong. The key lesson learned from general relativity is that there is no background metric space over which physics happens (except, of co ...
Linear and non-linear response phenomena of molecular systems
... that have put forward the concept of theoretical spectroscopy. Still, the development of the field is far from being at the level of ground-state DFT or quantum chemistry approaches. In the present work, we have made a substantial step forward in our understanding, both theoretical and computational ...
... that have put forward the concept of theoretical spectroscopy. Still, the development of the field is far from being at the level of ground-state DFT or quantum chemistry approaches. In the present work, we have made a substantial step forward in our understanding, both theoretical and computational ...
Prospects of Probing Rare and Forbidden Processes at BES-III
... CP violation and strong phase in D Dalitz Decays, light spectroscopy in D0 and D+ Dalitz Decays. • Electromagnetic form factors and QCD cross section; • New Charmonium states above open charm threshold---R values ...; • t physics near the threshold. ...
... CP violation and strong phase in D Dalitz Decays, light spectroscopy in D0 and D+ Dalitz Decays. • Electromagnetic form factors and QCD cross section; • New Charmonium states above open charm threshold---R values ...; • t physics near the threshold. ...
.
... Many of the above applications make use of atomic ensembles rather than single atoms, in which case the complete quantum description of the ensemble–cavity interaction is nontrivial as it in general involves a very large Hilbert space (Baragiola et al., 2010). (Under assumptions of symmetry, exact s ...
... Many of the above applications make use of atomic ensembles rather than single atoms, in which case the complete quantum description of the ensemble–cavity interaction is nontrivial as it in general involves a very large Hilbert space (Baragiola et al., 2010). (Under assumptions of symmetry, exact s ...
Toward an Understanding of Parochial Observables
... inequivalent representations entails that for any privileged irreducible representation (π, H), there is some algebraic state that cannot be implemented as a density operator on H. This would be fine if we only ever needed the density operator states on a single Hilbert space to accomplish the goals ...
... inequivalent representations entails that for any privileged irreducible representation (π, H), there is some algebraic state that cannot be implemented as a density operator on H. This would be fine if we only ever needed the density operator states on a single Hilbert space to accomplish the goals ...
Defining and detecting quantum speedup
... pure annealing times, as they are what is relevant for the asymptotic scaling rather than the readout or setup times, which scale subdominantly for large problems. In order to avoid confusing quantum speedup with parallel speedup we thus consider as a classical counterpart to the DW2 a (hypothetical ...
... pure annealing times, as they are what is relevant for the asymptotic scaling rather than the readout or setup times, which scale subdominantly for large problems. In order to avoid confusing quantum speedup with parallel speedup we thus consider as a classical counterpart to the DW2 a (hypothetical ...
INCT_IQ_ENG_1 - Instituto de Física / UFRJ
... Revolution´´, where quantum properties play an essential. Even though most information processing devices depend on the laws of Quantum Mechanics (like in a transistor), the information in itself is of a classical nature. Here we are referring to the usual classical bits of information, which are pr ...
... Revolution´´, where quantum properties play an essential. Even though most information processing devices depend on the laws of Quantum Mechanics (like in a transistor), the information in itself is of a classical nature. Here we are referring to the usual classical bits of information, which are pr ...
Do Neutrino Oscillations Conserve Energy?
... (anti)neutrino energy (in the rest frame of nucleus A) can be anywhere between zero and (mA − mB − me )c2 with Eν̄,max ≈ 10 MeV. The (anti)neutrino energy distribution is peaked at Eν̄ ≈ Eν̄,max /2 ≈ 5 MeV, and the characteristic energy spread of the (anti)neutrinos is ΔEν̄ / Eν̄ ≈ 1/4. This e ...
... (anti)neutrino energy (in the rest frame of nucleus A) can be anywhere between zero and (mA − mB − me )c2 with Eν̄,max ≈ 10 MeV. The (anti)neutrino energy distribution is peaked at Eν̄ ≈ Eν̄,max /2 ≈ 5 MeV, and the characteristic energy spread of the (anti)neutrinos is ΔEν̄ / Eν̄ ≈ 1/4. This e ...
9. Mechanical oscillations and resonances R
... acoustics, or oscillating electric and magnetic fields in optics. The mathematical treatment always yields to similar generic equations. Using the rotary oscillation of a disk as an example, we will learn about the general properties of (harmonic) oscillators in this experiment. In particular, we wi ...
... acoustics, or oscillating electric and magnetic fields in optics. The mathematical treatment always yields to similar generic equations. Using the rotary oscillation of a disk as an example, we will learn about the general properties of (harmonic) oscillators in this experiment. In particular, we wi ...
The solution of the “constant term problem” and the ζ
... corresponding approximating metric graph with non-standard boundary conditions being not necessarily of the δ-type or δ 0 -type. The analysis of the Laplacian as the prime example and generic model system for a Schrödinger operator is very wide-reaching in the field of quantum chaos such as the anal ...
... corresponding approximating metric graph with non-standard boundary conditions being not necessarily of the δ-type or δ 0 -type. The analysis of the Laplacian as the prime example and generic model system for a Schrödinger operator is very wide-reaching in the field of quantum chaos such as the anal ...
Renormalization group
In theoretical physics, the renormalization group (RG) refers to a mathematical apparatus that allows systematic investigation of the changes of a physical system as viewed at different distance scales. In particle physics, it reflects the changes in the underlying force laws (codified in a quantum field theory) as the energy scale at which physical processes occur varies, energy/momentum and resolution distance scales being effectively conjugate under the uncertainty principle (cf. Compton wavelength).A change in scale is called a ""scale transformation"". The renormalization group is intimately related to ""scale invariance"" and ""conformal invariance"", symmetries in which a system appears the same at all scales (so-called self-similarity). (However, note that scale transformations are included in conformal transformations, in general: the latter including additional symmetry generators associated with special conformal transformations.)As the scale varies, it is as if one is changing the magnifying power of a notional microscope viewing the system. In so-called renormalizable theories, the system at one scale will generally be seen to consist of self-similar copies of itself when viewed at a smaller scale, with different parameters describing the components of the system. The components, or fundamental variables, may relate to atoms, elementary particles, atomic spins, etc. The parameters of the theory typically describe the interactions of the components. These may be variable ""couplings"" which measure the strength of various forces, or mass parameters themselves. The components themselves may appear to be composed of more of the self-same components as one goes to shorter distances.For example, in quantum electrodynamics (QED), an electron appears to be composed of electrons, positrons (anti-electrons) and photons, as one views it at higher resolution, at very short distances. The electron at such short distances has a slightly different electric charge than does the ""dressed electron"" seen at large distances, and this change, or ""running,"" in the value of the electric charge is determined by the renormalization group equation.