Uncertainty principle in view of quantum estimation theory
... always attainable? The answer is negative: Letting A be a real hermitian matrix which is larger than J S01 , that is, A > J S01, there exists such an unbiased estimator M that V [M ] is not smaller than A. In other words, there is no better bound than SLD CR bound. In the general case, therefore, no ...
... always attainable? The answer is negative: Letting A be a real hermitian matrix which is larger than J S01 , that is, A > J S01, there exists such an unbiased estimator M that V [M ] is not smaller than A. In other words, there is no better bound than SLD CR bound. In the general case, therefore, no ...
Three Pictures of Quantum Mechanics (Thomas Shafer
... The Dirac picture is a sort of intermediary between the Schrödinger picture and the Heisenberg picture as both the quantum states and the operators carry time dependence. It is especially useful for problems including explicitly timedependent interaction terms in the Hamiltonian. ...
... The Dirac picture is a sort of intermediary between the Schrödinger picture and the Heisenberg picture as both the quantum states and the operators carry time dependence. It is especially useful for problems including explicitly timedependent interaction terms in the Hamiltonian. ...
Fundamentals of the Physics of Solids
... Alert readers have no doubt noticed that among diamagnetic materials there are not only covalently bonded semiconductors and insulators with closed electron shells but also semimetals, like bismuth, and a few metals, such as noble metals. In the latter electrons outside the closed d-shell can be con ...
... Alert readers have no doubt noticed that among diamagnetic materials there are not only covalently bonded semiconductors and insulators with closed electron shells but also semimetals, like bismuth, and a few metals, such as noble metals. In the latter electrons outside the closed d-shell can be con ...
Problem Set 3: Bohr`s Atom
... (c) One would observe a continuous radiation because the levels would be placed so close, that distinguishing of each packet of radiation from another would be impossible. No, we do not need quantum theory. The electron would still emit discrete photons but they are not detectable due to closely pac ...
... (c) One would observe a continuous radiation because the levels would be placed so close, that distinguishing of each packet of radiation from another would be impossible. No, we do not need quantum theory. The electron would still emit discrete photons but they are not detectable due to closely pac ...
Undergraduate Quantum Chemistry Written by Jussi Eloranta
... to the same result. This would predict, for example, that all observables can be determined to any accuracy, limited only by the measurement device. However, as we will see later, according to quantum mechanics this is not correct. Quantum mechanics acknowledges the wave-particle duality of matter b ...
... to the same result. This would predict, for example, that all observables can be determined to any accuracy, limited only by the measurement device. However, as we will see later, according to quantum mechanics this is not correct. Quantum mechanics acknowledges the wave-particle duality of matter b ...
Quantum gases in optical lattices
... ture, and this allows defects to form in what would otherwise more pronounced. The detection of such a gas would probe a perfect Mott insulator. This is relevant to applications of vide a textbook example of how a system of strongly interoptical lattices in, for example, quantum information: if the ...
... ture, and this allows defects to form in what would otherwise more pronounced. The detection of such a gas would probe a perfect Mott insulator. This is relevant to applications of vide a textbook example of how a system of strongly interoptical lattices in, for example, quantum information: if the ...
Total time derivatives of operators in elementary quantum mechanics
... meaning; when applied to an operator, its meaning is as in Eq. 共1.2兲. Its use eliminates much of the tedious calculation of commutators in conventional treatments and allows calculations that closely follow those of classical mechanics. For many systems it also enables simple methods to be used to o ...
... meaning; when applied to an operator, its meaning is as in Eq. 共1.2兲. Its use eliminates much of the tedious calculation of commutators in conventional treatments and allows calculations that closely follow those of classical mechanics. For many systems it also enables simple methods to be used to o ...
Quantum anomalous Hall effect with cold atoms trapped in a square
... Unfortunately, Haldane’s model cannot be realized in the recently discovered graphene system since the required staggered magnetic flux in the model is extremely hard to achieve. A recent proposal predicts the QAHE in the Hg1−x Mnx Te quantum wells [6] by doping Mn atoms in the quantum spin Hall sys ...
... Unfortunately, Haldane’s model cannot be realized in the recently discovered graphene system since the required staggered magnetic flux in the model is extremely hard to achieve. A recent proposal predicts the QAHE in the Hg1−x Mnx Te quantum wells [6] by doping Mn atoms in the quantum spin Hall sys ...
pdf - ISI Foundation
... In recent years topological phases have been intensively studied in condensed-matter systems. These exotic states appear in different contexts, such as fractional quantum Hall physics, spin liquids, and topological insulators 关1–7兴. Their understanding is relevant to topological quantum computation, ...
... In recent years topological phases have been intensively studied in condensed-matter systems. These exotic states appear in different contexts, such as fractional quantum Hall physics, spin liquids, and topological insulators 关1–7兴. Their understanding is relevant to topological quantum computation, ...
Spin-Orbit Interactions in Topological Insulators
... a new class of materials that recently has been theoretically predicted and produced in laboratory. An overview of topological insulators is given in chapter 2 and a simple tight binding model is used in chapter 3 to derive the bulk band structure of the two dimensional spin orbit induced topologica ...
... a new class of materials that recently has been theoretically predicted and produced in laboratory. An overview of topological insulators is given in chapter 2 and a simple tight binding model is used in chapter 3 to derive the bulk band structure of the two dimensional spin orbit induced topologica ...
Statistical Mechanics That Takes into Account Angular
... determining equations of this hypersurface are the equalities that fix the values of controllable motion integrals. A controllable motion integral is a phase function, the value of which does not vary with the motion of the system and can be measured. An isolated system universally has the Hamiltoni ...
... determining equations of this hypersurface are the equalities that fix the values of controllable motion integrals. A controllable motion integral is a phase function, the value of which does not vary with the motion of the system and can be measured. An isolated system universally has the Hamiltoni ...