x - Piazza
... Those who are not shocked when they first come across quantum mechanics cannot possibly have understood it. Richard Feynman (1918-1988) ...
... Those who are not shocked when they first come across quantum mechanics cannot possibly have understood it. Richard Feynman (1918-1988) ...
Certainty and Uncertainty in Quantum Information Processing
... deviation in time cannot have too small a standard deviation in its frequency spectrum is not mysterious. Details can be found in many signal processing books; (Cohen 1995) is particularly detailed and insightful. This discussion makes no mention of measurement (though it certainly has implications ...
... deviation in time cannot have too small a standard deviation in its frequency spectrum is not mysterious. Details can be found in many signal processing books; (Cohen 1995) is particularly detailed and insightful. This discussion makes no mention of measurement (though it certainly has implications ...
Slides
... At the big bang . At the big bang There was no interaction. Universe was at the Gaussian fixed point (V 0, massless free field). It emerges along some direction, on an RG trajectory. The direction corresponds to a particular form of the potential V. ...
... At the big bang . At the big bang There was no interaction. Universe was at the Gaussian fixed point (V 0, massless free field). It emerges along some direction, on an RG trajectory. The direction corresponds to a particular form of the potential V. ...
DY 61.1–61.8 - DPG
... Dielectric optical microcavities and microlasers have attracted much attention because of their possible applications in photonics or optoelectronics. It has proven useful to describe these systems based on geometrical optics. In this efficient and easily implemented approach, the dielectric cavitie ...
... Dielectric optical microcavities and microlasers have attracted much attention because of their possible applications in photonics or optoelectronics. It has proven useful to describe these systems based on geometrical optics. In this efficient and easily implemented approach, the dielectric cavitie ...
Quantum Langevin model for exoergic ion
... atom-atom and ion-atom interactions, where, to the best of our knowledge, no ab initio PES for alkali metal systems has ever been sufficiently accurate to predict the scattering length. All potentials had to be modified by incorporating a substantial amount of spectroscopic data (see, e.g., Ref. [14 ...
... atom-atom and ion-atom interactions, where, to the best of our knowledge, no ab initio PES for alkali metal systems has ever been sufficiently accurate to predict the scattering length. All potentials had to be modified by incorporating a substantial amount of spectroscopic data (see, e.g., Ref. [14 ...
Powerpoint - Generative Science
... If we examine the natural structures found by quantum physics, we find that energy operators, quantum-mechanical propensities and outcome-events form a triple set of material ‘discrete degrees’. This is in the sense that they simultaneously exist in their own way, without being reduced to another. F ...
... If we examine the natural structures found by quantum physics, we find that energy operators, quantum-mechanical propensities and outcome-events form a triple set of material ‘discrete degrees’. This is in the sense that they simultaneously exist in their own way, without being reduced to another. F ...
Simulating large quantum circuits on a small quantum computer
... |ΦU i = (I ⊗ U )|Φi/ 2 is a quantum encoding of U, i.e., a static way to store a dynamic resource! Given |ΦU i, we can execute U. So |ΦU i is a form of “quantum software” [Pre99, GC99]. In a similar spirit, a mixed state ρ encodes a Hamiltonian that can be executed if given enough copies of ρ [KLL+ ...
... |ΦU i = (I ⊗ U )|Φi/ 2 is a quantum encoding of U, i.e., a static way to store a dynamic resource! Given |ΦU i, we can execute U. So |ΦU i is a form of “quantum software” [Pre99, GC99]. In a similar spirit, a mixed state ρ encodes a Hamiltonian that can be executed if given enough copies of ρ [KLL+ ...
200 Beryllium Ions Entangled
... Entanglement is a purely quantum-mechanical phenomenon that allows two or more particles to have a much closer relationship than is allowed by classical physics. One property of entangled particles is that they can be very sensitive to external stimuli such as a gravity or light, and therefore could ...
... Entanglement is a purely quantum-mechanical phenomenon that allows two or more particles to have a much closer relationship than is allowed by classical physics. One property of entangled particles is that they can be very sensitive to external stimuli such as a gravity or light, and therefore could ...
B.R. Martin. Nuclear and Particle Physics. Appendix A. Some results
... The kinetic (T) and potential (V) energies are transformed into the Hamiltonian which acts upon the wave function to generate the evolution of the wavefunction in time and space. T + V = E ...
... The kinetic (T) and potential (V) energies are transformed into the Hamiltonian which acts upon the wave function to generate the evolution of the wavefunction in time and space. T + V = E ...
2.5 Spin polarization principle 2.6 The commutator
... Later on, we will see what physical laws govern the time evolution of these coefficients and thus the time evolution of a quantum mechanical state. In fact we will derive an ODE for the time evolution that looks like this ...
... Later on, we will see what physical laws govern the time evolution of these coefficients and thus the time evolution of a quantum mechanical state. In fact we will derive an ODE for the time evolution that looks like this ...
Uncertainty principle in view of quantum estimation theory
... In section 4, our conclusion is that if we are fortunate enough, we can estimate the average of the position and the momentum with arbitrary accuracy at the same time. One may argue that this is because we make full use of knowledge about the shape of the wave function of the given state. However, t ...
... In section 4, our conclusion is that if we are fortunate enough, we can estimate the average of the position and the momentum with arbitrary accuracy at the same time. One may argue that this is because we make full use of knowledge about the shape of the wave function of the given state. However, t ...
Chern-Simons theory and Weyl quantization
... This is known as the Egorov condition satisfied exactly only for Weyl quantization. It is this symmetry of Weyl quantization that we related to the symmetry of Chern-Simons theory that comes from di↵eomorphisms. ...
... This is known as the Egorov condition satisfied exactly only for Weyl quantization. It is this symmetry of Weyl quantization that we related to the symmetry of Chern-Simons theory that comes from di↵eomorphisms. ...
slides
... MIRO in high-mobility 2D electron gas in magnetic field. Photonassisted electron scattering in the regime of Landau quantization. ...
... MIRO in high-mobility 2D electron gas in magnetic field. Photonassisted electron scattering in the regime of Landau quantization. ...
Free Fields, Harmonic Oscillators, and Identical Bosons
... this name is misleading: there is no new quantization, just the same old quantum mechanics re-written in a new language. In this section, I will develop the second quantization formalism for the ordinary non-relativistic particles (for example, helium atoms), although it works in the same way for al ...
... this name is misleading: there is no new quantization, just the same old quantum mechanics re-written in a new language. In this section, I will develop the second quantization formalism for the ordinary non-relativistic particles (for example, helium atoms), although it works in the same way for al ...
The Halo at the Centre of the Atom
... • Neutrons and protons all attract each other at short ranges (1 to 3 fm). • So a nucleus is usually a close cluster of ...
... • Neutrons and protons all attract each other at short ranges (1 to 3 fm). • So a nucleus is usually a close cluster of ...
Chap 6.
... and −m [cf. Eq (7)] are linearly independent, so both must be accepted. Therefore all eigenvalues, except E0 , are two-fold (or doubly) degenerate. The eigenfunctions can all be written in the form const eimφ , with m allowed to take either positive and negative values (or 0), as in Eq (10). The nor ...
... and −m [cf. Eq (7)] are linearly independent, so both must be accepted. Therefore all eigenvalues, except E0 , are two-fold (or doubly) degenerate. The eigenfunctions can all be written in the form const eimφ , with m allowed to take either positive and negative values (or 0), as in Eq (10). The nor ...
