Floquet topological insulator in semiconductor
... where ± (k) are the energies corresponding to P̌± (k). In the ‘rotating’ picture, the two bands cross if ω is larger than the gap M . HI is solved by the eigenstates |ψI ± (k)i, which for the values of momenta, k, away from the resonance ring are only weakly modified compared to the equilibrium, V̌ ...
... where ± (k) are the energies corresponding to P̌± (k). In the ‘rotating’ picture, the two bands cross if ω is larger than the gap M . HI is solved by the eigenstates |ψI ± (k)i, which for the values of momenta, k, away from the resonance ring are only weakly modified compared to the equilibrium, V̌ ...
Coulomb oscillations as a remedy for the helium atom
... ”interference terms,” φa φb . The latter give rise to increased or decreased electron density in the overlap region of the φa and φb orbitals according to symmetry (+) and antisymmetry (−) of ψ ± ab , respectively. In this way the ± symmetry distinction corresponds to spatially contracted or expande ...
... ”interference terms,” φa φb . The latter give rise to increased or decreased electron density in the overlap region of the φa and φb orbitals according to symmetry (+) and antisymmetry (−) of ψ ± ab , respectively. In this way the ± symmetry distinction corresponds to spatially contracted or expande ...
G-Complexity, Quantum Computation and Anticipatory Processes
... one second, I held the answer to the Hamiltonian Path Problem in my hand,” (1998). The Hamiltonian Path Problem is supposed to find an optimal path connecting a point. Underneath lay two deeper questions: 1) What are the best representations of the problem? 2) How long does it take to find the answe ...
... one second, I held the answer to the Hamiltonian Path Problem in my hand,” (1998). The Hamiltonian Path Problem is supposed to find an optimal path connecting a point. Underneath lay two deeper questions: 1) What are the best representations of the problem? 2) How long does it take to find the answe ...
Individuality and Indiscernibility
... On this definition, Max Black’s spheres do not count as identical. Let Rxy stand for “x is two miles from y.” Consider a valuation that assigns one sphere to x and the other to y.1 On this valuation, the sentence (2) comes out false. Each sphere is not two miles from exactly those things that the ot ...
... On this definition, Max Black’s spheres do not count as identical. Let Rxy stand for “x is two miles from y.” Consider a valuation that assigns one sphere to x and the other to y.1 On this valuation, the sentence (2) comes out false. Each sphere is not two miles from exactly those things that the ot ...
NAME: Answer Table for the Multiple
... b) The quantum mechanical analog is almost the same: Ē = hHi > Vmin for any state of the system considered. Note the equality Ē = hHi = Vmin never holds quantum mechanically. (There is an over-idealized exception, which we consider in part (e).) Prove the inequality. HINTS: The key point is to sho ...
... b) The quantum mechanical analog is almost the same: Ē = hHi > Vmin for any state of the system considered. Note the equality Ē = hHi = Vmin never holds quantum mechanically. (There is an over-idealized exception, which we consider in part (e).) Prove the inequality. HINTS: The key point is to sho ...
TOWARDS THE FRACTIONAL QUANTUM HALL EFFECT: A
... In this paper we give a survey of some models of the integer and fractional quantum Hall effect based on noncommutative geometry. We begin by recalling some classical geometry of electrons in solids and the passage to noncommutative geometry produced by the presence of a magnetic field. We recall ho ...
... In this paper we give a survey of some models of the integer and fractional quantum Hall effect based on noncommutative geometry. We begin by recalling some classical geometry of electrons in solids and the passage to noncommutative geometry produced by the presence of a magnetic field. We recall ho ...
The Learnability of Quantum States
... Bob, a grad student, has a thesis problem i{1,…,N} Alice, Bob’s omniscient advisor, knows the binary answer xi to every thesis problem i But she’s too busy to find out which specific problems her students are working on So instead, she just doles out the same generic advice ax to all of them ...
... Bob, a grad student, has a thesis problem i{1,…,N} Alice, Bob’s omniscient advisor, knows the binary answer xi to every thesis problem i But she’s too busy to find out which specific problems her students are working on So instead, she just doles out the same generic advice ax to all of them ...
Chapter 1
... these classical assumptions are based on intuitive notions grounded in everyday experience, and it may not occur to classical thinking that these are even assumptions to begin with, or anyt ...
... these classical assumptions are based on intuitive notions grounded in everyday experience, and it may not occur to classical thinking that these are even assumptions to begin with, or anyt ...
Stochastic simulations of conditional states of partially observed
... a general rule we will push this point of view throughout the rest of this paper. However, it is important to point out the key differences between these theories. In the quantum case we can always write thepmeasurement operator (or Kraus operator) as M̂r = Ûr F̂r where Ur is a unitary operator. Th ...
... a general rule we will push this point of view throughout the rest of this paper. However, it is important to point out the key differences between these theories. In the quantum case we can always write thepmeasurement operator (or Kraus operator) as M̂r = Ûr F̂r where Ur is a unitary operator. Th ...
On the Theory of Intramolecular Energy Transfer
... The semiclassical quantum analogue of quasiperiodic motion is now well understood. [It is reviewed in ref. (1), (6) and (11).] As long as action variables exist for the trajectory, one can introduce an Einstein-Brillouin-Keller semiclassical quantization of them (a WKB approximation for solving the ...
... The semiclassical quantum analogue of quasiperiodic motion is now well understood. [It is reviewed in ref. (1), (6) and (11).] As long as action variables exist for the trajectory, one can introduce an Einstein-Brillouin-Keller semiclassical quantization of them (a WKB approximation for solving the ...
Quantum State Preparation via Asymptotic Completeness
... In order to encode or process quantum information, the ability to prepare quantum systems in various states is a necessary prerequisite. A recipe to create an arbitrary state of the quantized electromagnetic field has been given in [1], where the authors studied the interaction of a sequence of two- ...
... In order to encode or process quantum information, the ability to prepare quantum systems in various states is a necessary prerequisite. A recipe to create an arbitrary state of the quantized electromagnetic field has been given in [1], where the authors studied the interaction of a sequence of two- ...
Nanowires for Quantum Optics - Leo Kouwenhoven
... Our first goal was to define a high quality nanowire quantum dot heterostructure, where the emission linewidth would be narrow enough to enable quantum optics experiments. We obtained high quality quantum dots made of InAsP in an InP nanowire with a thin InP shell acting as a surface passivation fo ...
... Our first goal was to define a high quality nanowire quantum dot heterostructure, where the emission linewidth would be narrow enough to enable quantum optics experiments. We obtained high quality quantum dots made of InAsP in an InP nanowire with a thin InP shell acting as a surface passivation fo ...
Notes on total internal reflection and waveguides
... textbooks. In this case, it is okay because of something called “Lebesgue’s dominated convergence theorem” [9].6 Thus, in the L → ∞ limit, our inequality becomes ˆ ∞ ∆(x) dx, 0 < c20 k 2 ...
... textbooks. In this case, it is okay because of something called “Lebesgue’s dominated convergence theorem” [9].6 Thus, in the L → ∞ limit, our inequality becomes ˆ ∞ ∆(x) dx, 0 < c20 k 2 ...
Contents
... the Hamiltonian for this system and solve the Schrödinger equation associated with it. However, the Hamiltonian typically contains, besides the sums of single-particle kinetic energy and static potential, the interaction between pairs of particles. This makes the partial differential equation of ma ...
... the Hamiltonian for this system and solve the Schrödinger equation associated with it. However, the Hamiltonian typically contains, besides the sums of single-particle kinetic energy and static potential, the interaction between pairs of particles. This makes the partial differential equation of ma ...
Shell Structures and Level Statistics of a Quantum Dot
... levels for spin-up and -down electrons match. Our basis set consists of the 120 lowest energy states of a noninteracting single-particle. An atom with a three-dimensional spherical potential has atomic magic numbers 2, 10, 18, ... due to the shell structure. Similarly, a two-dimensional quantum dot ...
... levels for spin-up and -down electrons match. Our basis set consists of the 120 lowest energy states of a noninteracting single-particle. An atom with a three-dimensional spherical potential has atomic magic numbers 2, 10, 18, ... due to the shell structure. Similarly, a two-dimensional quantum dot ...
chapter-12 quantum entanglement
... A measurement forces a system to adopt a given value (corresponding to the the type of measurement being done). Or equivalently, a measurement makes the wavefunction to collapse into a given stationary state, thus “creating” an attribute on the system that was not there previously. For example, a tw ...
... A measurement forces a system to adopt a given value (corresponding to the the type of measurement being done). Or equivalently, a measurement makes the wavefunction to collapse into a given stationary state, thus “creating” an attribute on the system that was not there previously. For example, a tw ...
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... and then square them. The phase is the source of all phenomena in Quantum Mechanics that go by the name of interference. Dirac put this phase factor under his formidable intellectual microscope. Did it have to be "integrable"? This amounted to asked whether -- if the phase of a wave function was fol ...
... and then square them. The phase is the source of all phenomena in Quantum Mechanics that go by the name of interference. Dirac put this phase factor under his formidable intellectual microscope. Did it have to be "integrable"? This amounted to asked whether -- if the phase of a wave function was fol ...