
Quantum Information Meets Quantum Matter
... network representation – provides a complete and precise characterization of 1D gapped systems so that we can actually classify all gapped phases in 1D. In particular, we show, after a careful introduction to the matrix product formalism, that there is no topological order in 1D and all gapped state ...
... network representation – provides a complete and precise characterization of 1D gapped systems so that we can actually classify all gapped phases in 1D. In particular, we show, after a careful introduction to the matrix product formalism, that there is no topological order in 1D and all gapped state ...
EGAS41
... Interatomic Coulombic decay of the Ne2+ (2s1 2p5 )Ar states populated via the K-LL Auger decay of Ne Ph.V. Demekhin, Y.-C. Chiang, S.D. Stoychev, A.I. Kuleff, F. Tarantelli, P. Kolorenč, L.S. Cederbaum CP 17, p77 New view on the description of the hyperfine structure of free atoms and ions. Case of ...
... Interatomic Coulombic decay of the Ne2+ (2s1 2p5 )Ar states populated via the K-LL Auger decay of Ne Ph.V. Demekhin, Y.-C. Chiang, S.D. Stoychev, A.I. Kuleff, F. Tarantelli, P. Kolorenč, L.S. Cederbaum CP 17, p77 New view on the description of the hyperfine structure of free atoms and ions. Case of ...
Quantum Computation, Quantum Theory and AI
... 20th century and the new subject of quantum computation was born. Quantum computers were first envisaged by Nobel Laureate physicist Feynman [47] in 1982. He conceived that no classical computer could simulate certain quantum phenomena without an exponential slowdown, and so realized that quantum me ...
... 20th century and the new subject of quantum computation was born. Quantum computers were first envisaged by Nobel Laureate physicist Feynman [47] in 1982. He conceived that no classical computer could simulate certain quantum phenomena without an exponential slowdown, and so realized that quantum me ...
Calculus - Applications Of The Definite Integral (II)
... If y(t) represents the vertical position, then we have y00 (t) = −g. Ignoring air resistance, there are no forces acting horizontally on the projectile. So, if x(t) represents the horizontal position, Newton’s second law gives us x00 (t) = 0. This gives us parametric equations for the acceleration o ...
... If y(t) represents the vertical position, then we have y00 (t) = −g. Ignoring air resistance, there are no forces acting horizontally on the projectile. So, if x(t) represents the horizontal position, Newton’s second law gives us x00 (t) = 0. This gives us parametric equations for the acceleration o ...
Simulations of prompt many-body ionization in a frozen Rydberg gas Robicheaux
... of the velocity components of the ith electron being scaled by the speed of the ith electron and the position components being scaled by the distance to the closest nucleus. The force on each electron is calculated by summing the force from all of the stationary nuclei and from all of the other elec ...
... of the velocity components of the ith electron being scaled by the speed of the ith electron and the position components being scaled by the distance to the closest nucleus. The force on each electron is calculated by summing the force from all of the stationary nuclei and from all of the other elec ...
Quantum Information Processing with Finite Resources
... redundancy into one that does not, or to transform a noisy channel into a noiseless one. Information theory quantifies how well this can be done and in particular provides us with fundamental limits on the best possible performance of any transformation. Shannon’s initial work [144] already gives de ...
... redundancy into one that does not, or to transform a noisy channel into a noiseless one. Information theory quantifies how well this can be done and in particular provides us with fundamental limits on the best possible performance of any transformation. Shannon’s initial work [144] already gives de ...
HOMOGENEOUS LINEWIDTH AND SPECTRAL
... ∆ SO is the splitting caused by spin-orbit interaction, and ∆ CF is the crystal field splitting caused by lattice-induced strain. ..................................15 2-5. First three energy levels of En for hydrogenic atoms. ..............................................19 2-6. General energy diagr ...
... ∆ SO is the splitting caused by spin-orbit interaction, and ∆ CF is the crystal field splitting caused by lattice-induced strain. ..................................15 2-5. First three energy levels of En for hydrogenic atoms. ..............................................19 2-6. General energy diagr ...
Charged domain walls as quantum strings on a - Instituut
... (g.g c ), the interaction term is relevant and the string localizes. The excitation spectrum develops a gap and it is characterized by well-defined kink and antikink excitations. When (g,g c ) the sine term is irrelevant and although the dynamics is at least initially kinklike on microscopic scales, ...
... (g.g c ), the interaction term is relevant and the string localizes. The excitation spectrum develops a gap and it is characterized by well-defined kink and antikink excitations. When (g,g c ) the sine term is irrelevant and although the dynamics is at least initially kinklike on microscopic scales, ...
A Picture is Worth a Thousand Words
... means that the equation is a function that is written in terms of the variable x. An example of such a function is f (x) = 3x + 4. Functions can also be written using a letter other than f and a variable other than x. An example of such a case is v(t) = 2t 2 − 5 and d(h) = 4h − 3. In addition to rep ...
... means that the equation is a function that is written in terms of the variable x. An example of such a function is f (x) = 3x + 4. Functions can also be written using a letter other than f and a variable other than x. An example of such a case is v(t) = 2t 2 − 5 and d(h) = 4h − 3. In addition to rep ...
pdf file
... how to further develop the phenomenon of dynamics (or change), in particular within Physics. They developed classical mechanics based on concepts that can be philosophically founded as certain types of potentialities. Descartes [1633] took the product of mass and velocity of an object for its potent ...
... how to further develop the phenomenon of dynamics (or change), in particular within Physics. They developed classical mechanics based on concepts that can be philosophically founded as certain types of potentialities. Descartes [1633] took the product of mass and velocity of an object for its potent ...
Nonadiabatic alignment by intense pulses
... intensity, i.e., to the square of the field, due to the two-photon nature of the cycles. Consequently, much higher intensities are required to achieve a given degree of alignment, as expected for a non-resonant process. On the other hand, much higher intensities can be exerted at non-resonant freque ...
... intensity, i.e., to the square of the field, due to the two-photon nature of the cycles. Consequently, much higher intensities are required to achieve a given degree of alignment, as expected for a non-resonant process. On the other hand, much higher intensities can be exerted at non-resonant freque ...
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.