
Spin-valley lifetimes in a silicon quantum dot with tunable valley
... j2i ¼ jv ; "i, j3i ¼ jv þ ; #i, j4i ¼ jv þ ; "i. These states are considered to be only very weakly affected by higher excitations, such as orbital levels that are at least 8 meV above the ground state in our device41. In Supplementary Note 3 we detail how mixing to a 2p-like orbital state leads t ...
... j2i ¼ jv ; "i, j3i ¼ jv þ ; #i, j4i ¼ jv þ ; "i. These states are considered to be only very weakly affected by higher excitations, such as orbital levels that are at least 8 meV above the ground state in our device41. In Supplementary Note 3 we detail how mixing to a 2p-like orbital state leads t ...
Ground state entanglement entropy for discrete
... According to Fig. 2, in the continuous time(solid lines), the entanglement of the system at the ground state increases as the interaction between particles σ increases, while the interaction with environment k is fixed. The system approaches to the maximally entangled state SL → 1 as the parameter σ ...
... According to Fig. 2, in the continuous time(solid lines), the entanglement of the system at the ground state increases as the interaction between particles σ increases, while the interaction with environment k is fixed. The system approaches to the maximally entangled state SL → 1 as the parameter σ ...
Quantum Theory of Radiation
... Returning to the case of the atom and the radiation field, the first problem which we have to solve is the finding of a convenient set of coordinates to represent the system. The position of the atom may be described by means of any system of general coordinates; if we assume that the atom contains ...
... Returning to the case of the atom and the radiation field, the first problem which we have to solve is the finding of a convenient set of coordinates to represent the system. The position of the atom may be described by means of any system of general coordinates; if we assume that the atom contains ...
PPT
... The scattered intensity is the square of the (spatial) Fourier transform of the amplitude density of the target The conjugate variable is kx, better the transverse component of wave-vector the scattered particle (kT) If D</2 the total phase change Df induced by the target on its section D is small ...
... The scattered intensity is the square of the (spatial) Fourier transform of the amplitude density of the target The conjugate variable is kx, better the transverse component of wave-vector the scattered particle (kT) If D</2 the total phase change Df induced by the target on its section D is small ...
2 Quantum Theory of Spin Waves
... The actual value of this difference will clearly depend on the relative magnitudes of α, V , and U . So far so good, but what about spin? None of these calculations has explicitly taken spin into account, so how can the spin affect the energy? We have seen that the energy difference between the symmetr ...
... The actual value of this difference will clearly depend on the relative magnitudes of α, V , and U . So far so good, but what about spin? None of these calculations has explicitly taken spin into account, so how can the spin affect the energy? We have seen that the energy difference between the symmetr ...
Dynamics of Entanglement for Two-Electron Atoms
... The study of quantum entanglement for systems with continuous degrees of freedom possess a number of extra problems when they are compared with systems with discrete degrees of freedom. One particularly acute is the lack of exact solutions. The existence of exact solutions has contributed enormously ...
... The study of quantum entanglement for systems with continuous degrees of freedom possess a number of extra problems when they are compared with systems with discrete degrees of freedom. One particularly acute is the lack of exact solutions. The existence of exact solutions has contributed enormously ...
5.1 Revising the Atomic Model
... electron can have. • For each energy level, the Schrödinger equation also leads to a mathematical expression, called an atomic orbital. • An atomic orbital is represented pictorially (illustrated by pictures) as a region of space in which there is a high probability of finding an electron. ...
... electron can have. • For each energy level, the Schrödinger equation also leads to a mathematical expression, called an atomic orbital. • An atomic orbital is represented pictorially (illustrated by pictures) as a region of space in which there is a high probability of finding an electron. ...
Particle in a box

In quantum mechanics, the particle in a box model (also known as the infinite potential well or the infinite square well) describes a particle free to move in a small space surrounded by impenetrable barriers. The model is mainly used as a hypothetical example to illustrate the differences between classical and quantum systems. In classical systems, for example a ball trapped inside a large box, the particle can move at any speed within the box and it is no more likely to be found at one position than another. However, when the well becomes very narrow (on the scale of a few nanometers), quantum effects become important. The particle may only occupy certain positive energy levels. Likewise, it can never have zero energy, meaning that the particle can never ""sit still"". Additionally, it is more likely to be found at certain positions than at others, depending on its energy level. The particle may never be detected at certain positions, known as spatial nodes.The particle in a box model provides one of the very few problems in quantum mechanics which can be solved analytically, without approximations. This means that the observable properties of the particle (such as its energy and position) are related to the mass of the particle and the width of the well by simple mathematical expressions. Due to its simplicity, the model allows insight into quantum effects without the need for complicated mathematics. It is one of the first quantum mechanics problems taught in undergraduate physics courses, and it is commonly used as an approximation for more complicated quantum systems.