No Evidence for Particles
... Subjectively, it seems awkward to have a two-tiered scheme in which wavefunction-based quantum mechanics determines all the numbers, while particles—absent from the quantum mathematics—supply the structure necessary for agreement with our perceptions. This suggests we take a close look to see if par ...
... Subjectively, it seems awkward to have a two-tiered scheme in which wavefunction-based quantum mechanics determines all the numbers, while particles—absent from the quantum mathematics—supply the structure necessary for agreement with our perceptions. This suggests we take a close look to see if par ...
preskill-ARO-2013 - Caltech Particle Theory
... Output: a list of outgoing particle momenta. Goal is to sample accurately from the distribution of final state particles that would be produced in a high energy collision in a (strongly coupled) field theory. This year’s work: Consider a self-coupled fermionic field in d = 1 spatial dimensions (e.g. ...
... Output: a list of outgoing particle momenta. Goal is to sample accurately from the distribution of final state particles that would be produced in a high energy collision in a (strongly coupled) field theory. This year’s work: Consider a self-coupled fermionic field in d = 1 spatial dimensions (e.g. ...
The Learnability of Quantum States
... is uniform over the set S = {x : h1(x)=r1,…,hm(x)=rm}. Using M, verify that | is an equal superposition over S. Conjecture: Any quantum algorithm needs exponential time to copy | Striking feature of this scheme: The bank can’t copy |, any more than a counterfeiter can!! ...
... is uniform over the set S = {x : h1(x)=r1,…,hm(x)=rm}. Using M, verify that | is an equal superposition over S. Conjecture: Any quantum algorithm needs exponential time to copy | Striking feature of this scheme: The bank can’t copy |, any more than a counterfeiter can!! ...
Quantum Field Theory and Coalgebraic Logic in Theoretical
... with “big-data” modeling and, overall, in dealing with an effective computational management of (infinite) “streams” (think, for instance, at the internet streams) characterized by a continuous change of the “hidden” higher-order correlations among data, which are absolutely unpredictable by the cla ...
... with “big-data” modeling and, overall, in dealing with an effective computational management of (infinite) “streams” (think, for instance, at the internet streams) characterized by a continuous change of the “hidden” higher-order correlations among data, which are absolutely unpredictable by the cla ...
An Envelope Problem Chow Kan Hung Yue Kwok Choy A curve or a
... A curve or a surface which touches every member of a family of lines, curves, planes or surfaces. In this article, we discuss an envelope problem involving a family of straight lines. ...
... A curve or a surface which touches every member of a family of lines, curves, planes or surfaces. In this article, we discuss an envelope problem involving a family of straight lines. ...
Wormholes and Entanglement
... In Figure 1b we have indicated some modes of the quantum field. Modes A and B represent two entangled particles that have been created in the neighbourhood of the horizon in universe 2. By considering the Penrose diagram, it is clear that that mode A is obtained by bulk time evolution of a mode A0 i ...
... In Figure 1b we have indicated some modes of the quantum field. Modes A and B represent two entangled particles that have been created in the neighbourhood of the horizon in universe 2. By considering the Penrose diagram, it is clear that that mode A is obtained by bulk time evolution of a mode A0 i ...
PPT
... 3) ln(L(μ±σ) = ln(L(μ0)) -1/2 If L(μ) is non-Gaussian, these are no longer the same “Procedure 3) above still gives interval that contains the true value of parameter μ with 68% probability” Heinrich: CDF note 6438 (see CDF Statistics Committee Web-page) Barlow: Phystat05 ...
... 3) ln(L(μ±σ) = ln(L(μ0)) -1/2 If L(μ) is non-Gaussian, these are no longer the same “Procedure 3) above still gives interval that contains the true value of parameter μ with 68% probability” Heinrich: CDF note 6438 (see CDF Statistics Committee Web-page) Barlow: Phystat05 ...
Variation of the Gravitational Constant and its Consequences
... debt or forcing the electron to sink back into the negative energy space from which it arose11. However the original electron is annihilated together with the positron, so the energy debt to the vacuum is repaid and the new electron can materialise. In the end, because all electrons are identical, t ...
... debt or forcing the electron to sink back into the negative energy space from which it arose11. However the original electron is annihilated together with the positron, so the energy debt to the vacuum is repaid and the new electron can materialise. In the end, because all electrons are identical, t ...
TWO-STATE SYSTEMS
... It is interesting to notice what has happened to the concept of “physical dimension.” We recognize a physical parameter t with the dimensionality of “time,” which we read from the “clock on the wall,” not from the printed output of a “meter” as here construed: time we are prepared to place in a clas ...
... It is interesting to notice what has happened to the concept of “physical dimension.” We recognize a physical parameter t with the dimensionality of “time,” which we read from the “clock on the wall,” not from the printed output of a “meter” as here construed: time we are prepared to place in a clas ...
Quantum field theory for matter under extreme conditions
... To appreciate the difficulties inherent in this task it is only necessary to remember that even the study of two-electron atoms is a computational challenge. This is in spite of the fact that one can employ the Schrödinger equation for this problem and, since it is not really necessary to quantize ...
... To appreciate the difficulties inherent in this task it is only necessary to remember that even the study of two-electron atoms is a computational challenge. This is in spite of the fact that one can employ the Schrödinger equation for this problem and, since it is not really necessary to quantize ...
Spin Hall Effect in Cold Atomic Systems
... to exhibit topological properties. ¾ Spin Hall effect in cold bosonic atomic gas has very different significance from that in cold fermionic atomic system. In bosonic system, we have obtained fractional spin Hall effect (FSHE), and have studied intriguing properties of many-body function of the cold ...
... to exhibit topological properties. ¾ Spin Hall effect in cold bosonic atomic gas has very different significance from that in cold fermionic atomic system. In bosonic system, we have obtained fractional spin Hall effect (FSHE), and have studied intriguing properties of many-body function of the cold ...
Topological Phases of matter - Harvard Condensed Matter Theory
... in nature, but also the deep understanding of such phases led to tremendous advance in technologies. Cold atom systems further extended the understanding of the phases such as superfluid phase and Mott insulating phase through the unprecedented control of the systems. We have seen in the previous le ...
... in nature, but also the deep understanding of such phases led to tremendous advance in technologies. Cold atom systems further extended the understanding of the phases such as superfluid phase and Mott insulating phase through the unprecedented control of the systems. We have seen in the previous le ...
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.