
Reversing Quantum Measurements
... only certain probabilistic outcomes. • Information about the current state can be garnered from past measurements of identically configured quantum states. • However, information from future measurements may tell a fundamentally different story. • This makes quantum state description timeasymmetric. ...
... only certain probabilistic outcomes. • Information about the current state can be garnered from past measurements of identically configured quantum states. • However, information from future measurements may tell a fundamentally different story. • This makes quantum state description timeasymmetric. ...
Selective field ionization in Li and Rb: Theory and experiment
... that lead to ionization at field F, with nearly randomly varying phases on the different paths; the differing phases essentially guarantee that the interference between different paths will average to zero. In the model of Ref. 关13兴, the phases need to be retained because all of the phase difference ...
... that lead to ionization at field F, with nearly randomly varying phases on the different paths; the differing phases essentially guarantee that the interference between different paths will average to zero. In the model of Ref. 关13兴, the phases need to be retained because all of the phase difference ...
Advanced Quantum Mechanics - Pieter Kok
... where ¯ψ U and ¯φ V are typically not normalized (i.e., they are not unit vectors). The spaces U and V are so-called subspaces of W . As an example, consider the three-dimensional Euclidean space spanned by the Cartesian axes x, y, and z. The x y-plane is a two-dimensional subspace of the full space ...
... where ¯ψ U and ¯φ V are typically not normalized (i.e., they are not unit vectors). The spaces U and V are so-called subspaces of W . As an example, consider the three-dimensional Euclidean space spanned by the Cartesian axes x, y, and z. The x y-plane is a two-dimensional subspace of the full space ...
Inertia First
... Discard lateral components (a-b) as inertia does not change h is the average expected “unrecovered” height Assume a discovered displacement is “conserved” as momentum Rate of discovery is a free parameter – a purely imaginary velocity vE used to “time” the discoveries Solving for acceleration: a ...
... Discard lateral components (a-b) as inertia does not change h is the average expected “unrecovered” height Assume a discovered displacement is “conserved” as momentum Rate of discovery is a free parameter – a purely imaginary velocity vE used to “time” the discoveries Solving for acceleration: a ...
Energy level scheme of an InAs/InGaAs/GaAs quantum dots-in
... The energy level structure of the dots was calculated using a full three-dimensional simulation. First, the strain tensor elements were computed using linear elasticity theory.17 The numerical problem was solved on a 160⫻ 160⫻ 160 grid, giving a physical box size of 130 nm⫻ 130 nm ⫻ 130 nm, using op ...
... The energy level structure of the dots was calculated using a full three-dimensional simulation. First, the strain tensor elements were computed using linear elasticity theory.17 The numerical problem was solved on a 160⫻ 160⫻ 160 grid, giving a physical box size of 130 nm⫻ 130 nm ⫻ 130 nm, using op ...
Full text in PDF form
... where lp is the Planck length lp = h G=c . The bound (2) includes the gravitational constant G. There are already many discussions of bounds (1) and (2). However these important principles deserve a further study. In this note the number of quantum states inside space region is estimated on the bas ...
... where lp is the Planck length lp = h G=c . The bound (2) includes the gravitational constant G. There are already many discussions of bounds (1) and (2). However these important principles deserve a further study. In this note the number of quantum states inside space region is estimated on the bas ...
SEMICLASSICAL AND LARGE QUANTUM NUMBER LIMITS
... Conversely, the anticlassical or extreme quantum limit is reached for the opposite conditions to those listed in (3), e.g. |F | → ∞ or E → 0 for d > 0. For positive degrees d, e.g. all sorts of homogeneous oscillators, the first line of (3) expresses the widely appreciated fact, that the semiclassic ...
... Conversely, the anticlassical or extreme quantum limit is reached for the opposite conditions to those listed in (3), e.g. |F | → ∞ or E → 0 for d > 0. For positive degrees d, e.g. all sorts of homogeneous oscillators, the first line of (3) expresses the widely appreciated fact, that the semiclassic ...
1 - Journal of Optoelectronics and Advanced Materials
... properties of disordered covalent semiconductors, hides an important difference between crystalline and non-crystalline solids. In a perfect crystal, a very important property is the invariance by translation of the lattice. The result of this strong symmetry is the existence of the famous Bloch's t ...
... properties of disordered covalent semiconductors, hides an important difference between crystalline and non-crystalline solids. In a perfect crystal, a very important property is the invariance by translation of the lattice. The result of this strong symmetry is the existence of the famous Bloch's t ...
1 Universal entanglement dynamics Quantum Entanglement Growth
... is then given by the number of stabilizer operators that span the cut - a number that grows linearly in time. However there is a ‘gauge freedom’ in the choice of stabilizer operators, such that the speed of entanglement growth is actually slower than the speed of growth of the stabilizer operators, ...
... is then given by the number of stabilizer operators that span the cut - a number that grows linearly in time. However there is a ‘gauge freedom’ in the choice of stabilizer operators, such that the speed of entanglement growth is actually slower than the speed of growth of the stabilizer operators, ...
Quantum random walks without walking
... relabeled operator CˆV to highlight that it operates on vertically grouped states. ...
... relabeled operator CˆV to highlight that it operates on vertically grouped states. ...
Quantum Physics and NLP
... wave. Yet this statement also attributes reality to something that is unobservable. (?? p. 163). The wave function should not be interpreted as a physical wave; it is a mathematical construction, which we use to predict the probabilities of possible experimental outcomes. Just how big does an object ...
... wave. Yet this statement also attributes reality to something that is unobservable. (?? p. 163). The wave function should not be interpreted as a physical wave; it is a mathematical construction, which we use to predict the probabilities of possible experimental outcomes. Just how big does an object ...
Coherent manipulations of charge-number states in a Cooper-pair box Y. Nakamura,
... insulating barrier (Josephson junction; Fig. 1(a)). Let us define charge-number states with |n where n is a number of excess Cooper pairs in the right electrode. Because of the conservation of the total charge, the left electrode has (−n) excess Cooper pairs. The chargenumber states are the ground s ...
... insulating barrier (Josephson junction; Fig. 1(a)). Let us define charge-number states with |n where n is a number of excess Cooper pairs in the right electrode. Because of the conservation of the total charge, the left electrode has (−n) excess Cooper pairs. The chargenumber states are the ground s ...
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.