Problems
... have a metal with n = 1023 /cm3 electrons in a cubic box of side L, and we know that electrons are Fermions. Assume the electrons are completely free to move around in the box, meaning there are no atoms in their way. If that that much freedom is not enough for 2 This may all be very unsettling, you ...
... have a metal with n = 1023 /cm3 electrons in a cubic box of side L, and we know that electrons are Fermions. Assume the electrons are completely free to move around in the box, meaning there are no atoms in their way. If that that much freedom is not enough for 2 This may all be very unsettling, you ...
Quantum networks in the presence of D B
... numbers. In Figure 5b, the behaviour of the averaged conductance for a finite piece of the T3 lattice is shown as a function of reduced flux with zero SO coupling and SO coupling with zero magnetic field. In the case of the magnetic field, we observe a suppression of conductance due to the existence ...
... numbers. In Figure 5b, the behaviour of the averaged conductance for a finite piece of the T3 lattice is shown as a function of reduced flux with zero SO coupling and SO coupling with zero magnetic field. In the case of the magnetic field, we observe a suppression of conductance due to the existence ...
On the Nature of the Change in the Wave Function in a
... The common factor associated with the electronÕs passage through the wall in a manner resembling that found for classical-like particles in Gedankenexperiments 2 and 3 is the observing, thinking individualÕs knowledge as to whether an electron passed through a particular hole. The physical interacti ...
... The common factor associated with the electronÕs passage through the wall in a manner resembling that found for classical-like particles in Gedankenexperiments 2 and 3 is the observing, thinking individualÕs knowledge as to whether an electron passed through a particular hole. The physical interacti ...
PROBABILITIES FOR SINGLE EVENTS
... where p↑ = | <↑ |ψ > |2 and p↓ = 1 − p↑ . As N becomes large this approaches a continuum normal distribution that is sharply peaked about f = p↑ . The width becomes arbitrarily small with large N as N −1/2 . Thus, the probability for finding f in some range about p↑ can be made close to one by choos ...
... where p↑ = | <↑ |ψ > |2 and p↓ = 1 − p↑ . As N becomes large this approaches a continuum normal distribution that is sharply peaked about f = p↑ . The width becomes arbitrarily small with large N as N −1/2 . Thus, the probability for finding f in some range about p↑ can be made close to one by choos ...
6 Wave equation in spherical polar coordinates
... We are now (almost!) ready to apply the method of Froebenius. In principle it could immediately be applied and we would get a an infinite Taylor series that indeed solves the equation. However, a closed form solution can be obtained with one extra transformation that removes an over all exponential ...
... We are now (almost!) ready to apply the method of Froebenius. In principle it could immediately be applied and we would get a an infinite Taylor series that indeed solves the equation. However, a closed form solution can be obtained with one extra transformation that removes an over all exponential ...
Lecture 18 — October 26, 2015 1 Overview 2 Quantum Entropy
... In the previous lecture, we discussed classical entropy and entropy inequalities. In this lecture, we discuss several information measures that are important for quantifying the amount of information and correlations that are present in quantum systems. The first fundamental measure that we introduc ...
... In the previous lecture, we discussed classical entropy and entropy inequalities. In this lecture, we discuss several information measures that are important for quantifying the amount of information and correlations that are present in quantum systems. The first fundamental measure that we introduc ...
A Quantum Version of The Spectral Decomposition Theorem of
... to this, classical chaos presents several approaches which are related to each other: algorithmic complexity [8], Lyapunov exponents [9, 10] and Ergodic Hierarchy [1, 11]. For instance, Brudno theorem [8] relates complexity with Kolmogorov-Sinai entropy [8] while Pesin theorem [8] relates Ergodic Hi ...
... to this, classical chaos presents several approaches which are related to each other: algorithmic complexity [8], Lyapunov exponents [9, 10] and Ergodic Hierarchy [1, 11]. For instance, Brudno theorem [8] relates complexity with Kolmogorov-Sinai entropy [8] while Pesin theorem [8] relates Ergodic Hi ...
Quantum memory for superconducting qubits 兲
... qubits relative to the resonator frequency, as well as to each other. Although the lowest pair of levels in a harmonic oscillator cannot be frequency selected by an external driving field, resonators are quite desirable as coupling elements because of their potential for having extremely high qualit ...
... qubits relative to the resonator frequency, as well as to each other. Although the lowest pair of levels in a harmonic oscillator cannot be frequency selected by an external driving field, resonators are quite desirable as coupling elements because of their potential for having extremely high qualit ...
Influence of Complex Exciton-Phonon Coupling on Optical
... and the coherent-incoherent transition of energy transfer in ring-shaped molecular aggregates [6], as they appear e.g. in the Light Harvesting units of some bacteria. We consider QAs where the wave functions of different monomers do not overlap (tight binding) and each monomer has two electronic sta ...
... and the coherent-incoherent transition of energy transfer in ring-shaped molecular aggregates [6], as they appear e.g. in the Light Harvesting units of some bacteria. We consider QAs where the wave functions of different monomers do not overlap (tight binding) and each monomer has two electronic sta ...
`universal` phase for electron transmission in quantum dots
... allow tuning of the quantum dot (QD). The quantum dot is composed of two QPCs and a middle gate (MG) in between, allowing formation of ‘small’ and ‘large’ dots. The ‘plunger’ gate is embedded in the centre island, and is connected via a metallic air bridge to the outside in order to allow biasing wi ...
... allow tuning of the quantum dot (QD). The quantum dot is composed of two QPCs and a middle gate (MG) in between, allowing formation of ‘small’ and ‘large’ dots. The ‘plunger’ gate is embedded in the centre island, and is connected via a metallic air bridge to the outside in order to allow biasing wi ...
Quantum Factorization of 143 on a Dipolar
... Hamiltonians. In this way, the ground state of Hp encodes the two factors that satisfy all the bitwise equations and is the answer to our factoring problem. Thus the spectrum of Hp will not scale with N but log2 N. However, Schaller and Schützhold’s scheme [17] need at least 14 qubits to factor the ...
... Hamiltonians. In this way, the ground state of Hp encodes the two factors that satisfy all the bitwise equations and is the answer to our factoring problem. Thus the spectrum of Hp will not scale with N but log2 N. However, Schaller and Schützhold’s scheme [17] need at least 14 qubits to factor the ...
Optimization of quantum interferometric metrological sensors in the
... Heisenberg limit, and a resolution well below the Rayleigh diffraction limit 关2兴. For an overview of quantum metrology applications, see, for example, Ref. 关1兴. However, for realworld applications, diffraction, scattering, and absorption of quantum states of light need to be taken into account. Rece ...
... Heisenberg limit, and a resolution well below the Rayleigh diffraction limit 关2兴. For an overview of quantum metrology applications, see, for example, Ref. 关1兴. However, for realworld applications, diffraction, scattering, and absorption of quantum states of light need to be taken into account. Rece ...
