Topological phases of matter
... topological phase transitions, which is exemplified by the so-called Kosterlitz-Thouless (KT) transition, and (ii) topological phases of matter, which include quantum Hall states, topological insulators, topological conductors (i.e., Weyl semimetals), and so on. ...
... topological phase transitions, which is exemplified by the so-called Kosterlitz-Thouless (KT) transition, and (ii) topological phases of matter, which include quantum Hall states, topological insulators, topological conductors (i.e., Weyl semimetals), and so on. ...
The weak-coupling limit of large classical and quantum systems
... if two particles collide, correlations are created. Even though we could assume equation (1.12) at some time, if the test particle collides with the particle 2, such an equation cannot be satisfied anymore after the collision. Before discussing the propagation of chaos hypothesis, we first analyze t ...
... if two particles collide, correlations are created. Even though we could assume equation (1.12) at some time, if the test particle collides with the particle 2, such an equation cannot be satisfied anymore after the collision. Before discussing the propagation of chaos hypothesis, we first analyze t ...
Extended criticality, phase spaces and enablement in biology
... function a probability density in possibly infinite dimensional Hilbert or Fock spaces. More generally, in quantum mechanics, the density matrix allows to deal also with phase spaces which are known only in part. In such cases, physicists work with the part of the state space that is known and the d ...
... function a probability density in possibly infinite dimensional Hilbert or Fock spaces. More generally, in quantum mechanics, the density matrix allows to deal also with phase spaces which are known only in part. In such cases, physicists work with the part of the state space that is known and the d ...
The Rotation-vibration Hamiltonian
... nuclear motions, as is attested with equations (3.12) to (3.15). As was discussed in Chapter 2, the electronic Hamiltonian of equation (3.12) can be used to determine the electronic structure of the molecule, and then the arrangement of the different atoms that form the molecule. One could therefore ...
... nuclear motions, as is attested with equations (3.12) to (3.15). As was discussed in Chapter 2, the electronic Hamiltonian of equation (3.12) can be used to determine the electronic structure of the molecule, and then the arrangement of the different atoms that form the molecule. One could therefore ...
Get PDF - OSA Publishing
... coincide with each other. Figure 4(a) displays the transmission and reflection spectra for the conditions of d = 6, g = 1, δ = 0, and k0 . Figure 4(c) demonstrates the two functions X and Y numerically. One can identify that the intersections of X and Y are the zeros of R. However, for the case of K ...
... coincide with each other. Figure 4(a) displays the transmission and reflection spectra for the conditions of d = 6, g = 1, δ = 0, and k0 . Figure 4(c) demonstrates the two functions X and Y numerically. One can identify that the intersections of X and Y are the zeros of R. However, for the case of K ...
Quantum effects in biology
... In many enzymatic catalytic reactions, the rate-determining step involves the transfer of a proton, hydride, or hydrogen atom [34]. In addition, the simultaneous transfer of a proton and an electron from different sites (so-called proton-coupled electron transfer) also play an important role in a wi ...
... In many enzymatic catalytic reactions, the rate-determining step involves the transfer of a proton, hydride, or hydrogen atom [34]. In addition, the simultaneous transfer of a proton and an electron from different sites (so-called proton-coupled electron transfer) also play an important role in a wi ...
Quantum aspects of brain activity and the role of consciousness
... including humanst. It has been proposed that these bundles are the cortical units for reception (5), which would give them a preeminent role. Since they are composed essentially of dendrites, the name dendron was adopted. Fig. 1B illustrates a typical spine synapse that makes an intimate contact wit ...
... including humanst. It has been proposed that these bundles are the cortical units for reception (5), which would give them a preeminent role. Since they are composed essentially of dendrites, the name dendron was adopted. Fig. 1B illustrates a typical spine synapse that makes an intimate contact wit ...
New insights into soft gluons and gravitons. In
... Infrared singularities in gravity were first examined in [8], and there has recently been a revival of interest aimed at describing gravitational physics using the same language as is used in nonabelian gauge theories [9, 20]. It has now been firmly established that the exponent of the soft function ...
... Infrared singularities in gravity were first examined in [8], and there has recently been a revival of interest aimed at describing gravitational physics using the same language as is used in nonabelian gauge theories [9, 20]. It has now been firmly established that the exponent of the soft function ...
part 1
... species independence of our gratings (cf light gratings) allows us to switch alkalis easily, and velocity multiplexing will increase our accuracy and precision to the 0.1% and 0.01% targets. Our relative measurements will ultimately be normalized by a single, higher precision experiment using a sod ...
... species independence of our gratings (cf light gratings) allows us to switch alkalis easily, and velocity multiplexing will increase our accuracy and precision to the 0.1% and 0.01% targets. Our relative measurements will ultimately be normalized by a single, higher precision experiment using a sod ...
Exciton polarizability in semiconductor nanocrystals
... in Fig. 3 as a function of the size of the QD. The numerical values of the polarizability are of the order of 10,000 Å3 , three orders of magnitude larger than typical molecular polarizabilities and about 10 times larger than that of conjugated oligomer chains of similar length34 . These results ar ...
... in Fig. 3 as a function of the size of the QD. The numerical values of the polarizability are of the order of 10,000 Å3 , three orders of magnitude larger than typical molecular polarizabilities and about 10 times larger than that of conjugated oligomer chains of similar length34 . These results ar ...
Long-range Rydberg-Rydberg interactions in calcium, strontium and
... the energy shifts ∆E. Therefore the dispersion coefficients as defined by equation (7) do not depend on R̂ and can be obtained by diagonalizing the matrices C5 (R̂) and C6 (R̂) for any orientation of the interatomic axis. Due to the selection rule mentioned at the beginning of the last paragraph, th ...
... the energy shifts ∆E. Therefore the dispersion coefficients as defined by equation (7) do not depend on R̂ and can be obtained by diagonalizing the matrices C5 (R̂) and C6 (R̂) for any orientation of the interatomic axis. Due to the selection rule mentioned at the beginning of the last paragraph, th ...
From Quantum Mechanics to String Theory
... quantum mechanics and special relativity together imply the existence of anti-particles forces are mediated by the exchange of virtual particles, which carry energy and momentum inconsistent with their masses using quantum uncertainty. This leads to a decrease of force strength with distance, and in ...
... quantum mechanics and special relativity together imply the existence of anti-particles forces are mediated by the exchange of virtual particles, which carry energy and momentum inconsistent with their masses using quantum uncertainty. This leads to a decrease of force strength with distance, and in ...
Violation of Heisenberg’s Measurement-Disturbance Relationship by Weak Measurements
... measurement and the disturbance it introduces, but with the intrinsic uncertainty any quantum state must possess, regardless of what measurement (if any) is performed [2–4]. These two readings of the uncertainty principle are typically taught side-by-side, although only the modern one is given rigor ...
... measurement and the disturbance it introduces, but with the intrinsic uncertainty any quantum state must possess, regardless of what measurement (if any) is performed [2–4]. These two readings of the uncertainty principle are typically taught side-by-side, although only the modern one is given rigor ...
Quantum Manipulation of Ultracold Atoms—V. Vuletic
... They also predicted that the atoms could organize into one of two equivalent, but spatially offset density gratings. We have experimentally verified these predictions, in particular the selforganization process and the associated symmetry breaking, by measuring the phase of the light emitted into th ...
... They also predicted that the atoms could organize into one of two equivalent, but spatially offset density gratings. We have experimentally verified these predictions, in particular the selforganization process and the associated symmetry breaking, by measuring the phase of the light emitted into th ...
PH301
... Choose “Bound Particles in a Well” from “Section” menu. The program begins with the finite square well potential. Let’s make it do a more complicated example: the harmonic oscillator. To do this, choose “Well Parameters” from the “Parameters” menu. Select “User Defined Well,” and define the well as ...
... Choose “Bound Particles in a Well” from “Section” menu. The program begins with the finite square well potential. Let’s make it do a more complicated example: the harmonic oscillator. To do this, choose “Well Parameters” from the “Parameters” menu. Select “User Defined Well,” and define the well as ...
Physics 139B Solutions to Homework Set 4 Fall 2009 1. Liboff
... probability of a transition from the ground state to the first excited state is nonnegligible. However, keep in mind that if P0→1 must still be small as compared to 1 if the perturbation theory result is to be reliable. In case (b), there are no first-order transitions from the ground state to excit ...
... probability of a transition from the ground state to the first excited state is nonnegligible. However, keep in mind that if P0→1 must still be small as compared to 1 if the perturbation theory result is to be reliable. In case (b), there are no first-order transitions from the ground state to excit ...
Towards a Quantum Programming Language
... two fundamental operations: (1) unitary transformations and (2) measurements. Typically, the quantum device will implement a fixed, finite set of unitary transformations which operate on one or two quantum bits at a time. The classical controller communicates with the quantum device by sending a seq ...
... two fundamental operations: (1) unitary transformations and (2) measurements. Typically, the quantum device will implement a fixed, finite set of unitary transformations which operate on one or two quantum bits at a time. The classical controller communicates with the quantum device by sending a seq ...
Document
... Mechanics of Waves on a Surface E.g.2. Waves in two dimensions: Modes of a drumhead Standing waves can also be generated on a surface or thin membrane. A drumhead has a fixed perimeter, and oscillations on this surface lead to more complicated patterns of displacement and nodes First, consider the ...
... Mechanics of Waves on a Surface E.g.2. Waves in two dimensions: Modes of a drumhead Standing waves can also be generated on a surface or thin membrane. A drumhead has a fixed perimeter, and oscillations on this surface lead to more complicated patterns of displacement and nodes First, consider the ...