Extracting resonance parameters from experimental data on scattering of charged particles. Paul Vaandrager
... experiment”, according to Taylor [2]. This sentiment can be readily understood, if we consider that most experimental justification for quantum mechanics is obtained from scattering experiments: Rutherford’s discovery of the nucleus from the backscattering of alpha particles off gold foil, for examp ...
... experiment”, according to Taylor [2]. This sentiment can be readily understood, if we consider that most experimental justification for quantum mechanics is obtained from scattering experiments: Rutherford’s discovery of the nucleus from the backscattering of alpha particles off gold foil, for examp ...
PT symmetry as a necessary and sufficient condition for unitary time
... equation that determines the energy eigenvalues is real, then H and H† will possess the same set of eigenvalues and thus be related by an isospectral similarity transform. Reality of the secular equation is thus both necessary and sufficient for the existence of a V operator that obeys (1.6). Realit ...
... equation that determines the energy eigenvalues is real, then H and H† will possess the same set of eigenvalues and thus be related by an isospectral similarity transform. Reality of the secular equation is thus both necessary and sufficient for the existence of a V operator that obeys (1.6). Realit ...
Cabello`s nonlocality for generalized three
... P (D1 , U2 , D3 | + −−) = P (D1 , U2 , D3 | − +−) = 0.5, P (D1 , D2 , U3 | + −+) = P (D1 , D2 , U3 | − ++) = 0.5, P (D1 , D2 , D3 | + −−) = P (D1 , D2 , D3 | − +−) = 0.5, where only the nonzero probabilities have been written out. It is important to notice that the system of linear equations (18)-(2 ...
... P (D1 , U2 , D3 | + −−) = P (D1 , U2 , D3 | − +−) = 0.5, P (D1 , D2 , U3 | + −+) = P (D1 , D2 , U3 | − ++) = 0.5, P (D1 , D2 , D3 | + −−) = P (D1 , D2 , D3 | − +−) = 0.5, where only the nonzero probabilities have been written out. It is important to notice that the system of linear equations (18)-(2 ...
PHYSICS 673 Nonlinear and Quantum Optics
... When we study fields described by the slowly varying envelope approximation, we are often only interested in learning about the evolution of the envelope rather than the carrier. If this is the case, we can significantly simplify our math. Before we proceed to calculate this evolution, let us note tha ...
... When we study fields described by the slowly varying envelope approximation, we are often only interested in learning about the evolution of the envelope rather than the carrier. If this is the case, we can significantly simplify our math. Before we proceed to calculate this evolution, let us note tha ...
The Strength of the Weak: The Uncertainty Principle and
... Recent empirical work in the field of ‘weak measurements’ has yielded novel ways of more directly accessing and exploring the quantum wavefunction. Measuring either position or momentum for a photon in a ‘weak’ manner yields a wide range of possible values for the measurement, and can be done in suc ...
... Recent empirical work in the field of ‘weak measurements’ has yielded novel ways of more directly accessing and exploring the quantum wavefunction. Measuring either position or momentum for a photon in a ‘weak’ manner yields a wide range of possible values for the measurement, and can be done in suc ...
pdf
... quantum programs typically specify a fixed circuit, and therefore contain one execution trace. They are also commonly compiled for specific input sizes or values. As a result, they yield deeply, statically analyzable code, mitigating the need for optimizations such as branch prediction and emphasizi ...
... quantum programs typically specify a fixed circuit, and therefore contain one execution trace. They are also commonly compiled for specific input sizes or values. As a result, they yield deeply, statically analyzable code, mitigating the need for optimizations such as branch prediction and emphasizi ...
Quantum digital spiral imaging
... the scanning of OAM measurements are performed separately on these SLMs in the idler and signal arms, respectively. Each SLM is imaged onto a single-mode fiber (SMF) that is connected to an avalanche photodiode serving as single-photon detectors. The outputs of the detectors are fed to a coincidence ...
... the scanning of OAM measurements are performed separately on these SLMs in the idler and signal arms, respectively. Each SLM is imaged onto a single-mode fiber (SMF) that is connected to an avalanche photodiode serving as single-photon detectors. The outputs of the detectors are fed to a coincidence ...
How to characterize the dynamics of cold atoms in non
... the dynamics of a system in its classical and quantum limits. Both are closely related, as the latter is defined only as a function of the former. In particular, quantum chaos is defined as the quantum regime of a system whose classical dynamics is chaotic. A good understanding of the classical dynami ...
... the dynamics of a system in its classical and quantum limits. Both are closely related, as the latter is defined only as a function of the former. In particular, quantum chaos is defined as the quantum regime of a system whose classical dynamics is chaotic. A good understanding of the classical dynami ...
Molecular Modelling for Beginners
... concepts and ideas are difficult ones, and you will have to think long and hard about them; if it’s any consolation, so did the pioneers in our subject. I have given many of the derivations in full, and tried to avoid the dreaded phrase ‘it can be shown that’. There are various strands to our studies ...
... concepts and ideas are difficult ones, and you will have to think long and hard about them; if it’s any consolation, so did the pioneers in our subject. I have given many of the derivations in full, and tried to avoid the dreaded phrase ‘it can be shown that’. There are various strands to our studies ...
Local Equilibrium States in Quantum Field Theory in Curved
... thermal equilibrium in the sense of Buchholz, Ojima and Roos. In this approach, point-like localized quantum elds, so called thermal observables, are used to attach thermal parameters to macroscopic systems, with the proviso that these systems do not deviate too far from thermal equilibrium. In con ...
... thermal equilibrium in the sense of Buchholz, Ojima and Roos. In this approach, point-like localized quantum elds, so called thermal observables, are used to attach thermal parameters to macroscopic systems, with the proviso that these systems do not deviate too far from thermal equilibrium. In con ...
How to characterize the dynamics of cold atoms in non
... was the achievement of the Bose-Einstein condensation, and thus of macroscopic quantum objects. However, even in the classical world, the possibility to study the dynamics of atoms not “blurred” by the Doppler effect is very exciting. This requires to develop tools to manipulate the atoms, for e.g. ...
... was the achievement of the Bose-Einstein condensation, and thus of macroscopic quantum objects. However, even in the classical world, the possibility to study the dynamics of atoms not “blurred” by the Doppler effect is very exciting. This requires to develop tools to manipulate the atoms, for e.g. ...
Light, Matter, and Geometry: The Cornerstones of
... In graphics we would like to be able to model the appearance of as many different materials as possible. Therefore the theory has been kept as general and as flexible as possible throughout the thesis. It is in the effort to do so that the main contributions of the thesis appear. This makes it diffi ...
... In graphics we would like to be able to model the appearance of as many different materials as possible. Therefore the theory has been kept as general and as flexible as possible throughout the thesis. It is in the effort to do so that the main contributions of the thesis appear. This makes it diffi ...
Heisenberg Spin Chains : from Quantum Groups to
... called dynamical structure factor (the Fourier transform of the dynamical two-point correlation function). The importance of these functions originates from the following facts : (i) They can be measured directly via scattering of neutrons or photons at the material to be studied [1, 2, 3, 4, 5, 7, ...
... called dynamical structure factor (the Fourier transform of the dynamical two-point correlation function). The importance of these functions originates from the following facts : (i) They can be measured directly via scattering of neutrons or photons at the material to be studied [1, 2, 3, 4, 5, 7, ...
Direct characterization of quantum dynamics
... fundamental relationship between QED and QPT, namely whether it is possible to completely characterize the quantum dynamics of arbitrary quantum systems using QED. And, providing the answer is affirmative, how the physical resources scale with system size. Moreover, one would like to understand whet ...
... fundamental relationship between QED and QPT, namely whether it is possible to completely characterize the quantum dynamics of arbitrary quantum systems using QED. And, providing the answer is affirmative, how the physical resources scale with system size. Moreover, one would like to understand whet ...
Spin-based quantum computers made by chemistry: hows and whys†
... (in the form of molecules or ions) then quantum mechanics guarantees they will all be identical, provided we can eliminate impurities, defects, etc. This of course takes us into the realm of chemistry. In writing this review we have assumed a reader who may not be too familiar with this subject, but ...
... (in the form of molecules or ions) then quantum mechanics guarantees they will all be identical, provided we can eliminate impurities, defects, etc. This of course takes us into the realm of chemistry. In writing this review we have assumed a reader who may not be too familiar with this subject, but ...
Variations on the adiabatic invariance: the Lorentz pendulum
... Rayleigh’s previous work, raised the question of the behavior of a “quantum pendulum” the length of which is gradually altered3 (by historical vicissitudes4 his name has become inextricably linked to that system). Einstein’s reply was that “if the length of the pendulum is changed infinitely slowly, ...
... Rayleigh’s previous work, raised the question of the behavior of a “quantum pendulum” the length of which is gradually altered3 (by historical vicissitudes4 his name has become inextricably linked to that system). Einstein’s reply was that “if the length of the pendulum is changed infinitely slowly, ...
Coupling a single electron to a Bose
... condensate is finite, limited by its lifetime and the experimental sequence. Taking these corrections into account (see Supplementary Information), we are able to reproduce our experimental results. Fig. 3c shows the maximum atom loss extracted from the data in Fig. 2a, divided by the square of the ...
... condensate is finite, limited by its lifetime and the experimental sequence. Taking these corrections into account (see Supplementary Information), we are able to reproduce our experimental results. Fig. 3c shows the maximum atom loss extracted from the data in Fig. 2a, divided by the square of the ...
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.