
generation of arbitrary quantum states from atomic ensembles
... of comparable mean photon number to that emitted by the 4WM process, the detection of an idler photon from α is indistinguishable from a detection stemming from the creation of a CSE. This results in a coherent superposition of 0 and 1 CSEs |ψ> = a|0>+b|1>, with coefficients a and b determined by th ...
... of comparable mean photon number to that emitted by the 4WM process, the detection of an idler photon from α is indistinguishable from a detection stemming from the creation of a CSE. This results in a coherent superposition of 0 and 1 CSEs |ψ> = a|0>+b|1>, with coefficients a and b determined by th ...
ppt - ICTS
... are needed to determine whether f is one-to-one or two-to-one? (Promised that it’s one or the other) Classically, ~N (by the Birthday Paradox) By combining the Birthday Paradox with Grover’s algorithm, Brassard, Høyer, and Tapp gave a quantum algorithm that needs only ~N1/3 queries A., Shi: This is ...
... are needed to determine whether f is one-to-one or two-to-one? (Promised that it’s one or the other) Classically, ~N (by the Birthday Paradox) By combining the Birthday Paradox with Grover’s algorithm, Brassard, Høyer, and Tapp gave a quantum algorithm that needs only ~N1/3 queries A., Shi: This is ...
周正威
... two-body terms. With the interactions restricted to nearest neighbors, The ground state can be obtained through one of the following methods: i) by extracting it from the solution of the DMRG method; ii) by considering any product state, and by using the present scheme to simulate an evolution in im ...
... two-body terms. With the interactions restricted to nearest neighbors, The ground state can be obtained through one of the following methods: i) by extracting it from the solution of the DMRG method; ii) by considering any product state, and by using the present scheme to simulate an evolution in im ...
Department of Physics and Astronomy University of Georgia —
... A particle of mass m and charge –e is accelerated from rest through a potential difference of 500V, then injected through a slit into a uniform magnetic field of strength 8.91×10-3 T. It strikes the second plate 16.94 mm away from the slit, as shown in the figure below. (a) What is the mass of the p ...
... A particle of mass m and charge –e is accelerated from rest through a potential difference of 500V, then injected through a slit into a uniform magnetic field of strength 8.91×10-3 T. It strikes the second plate 16.94 mm away from the slit, as shown in the figure below. (a) What is the mass of the p ...
Quantum Computing
... considering the representation of binary numbers in relation to the quantum states of two-state quantum systems: in other words, simulating quantum systems ...
... considering the representation of binary numbers in relation to the quantum states of two-state quantum systems: in other words, simulating quantum systems ...
Quantum Numbers and Orbitals
... This is relatively simple the notation of n is just n, so for an orbital with n=1, we note this as a 1 orbital. (For n=3, this is a 3 orbital) Angular Momentum Quantum Number (l) The angular momentum quantum number (l) has the values of 0 to n-1 for each value of n. (This means that an orbital w ...
... This is relatively simple the notation of n is just n, so for an orbital with n=1, we note this as a 1 orbital. (For n=3, this is a 3 orbital) Angular Momentum Quantum Number (l) The angular momentum quantum number (l) has the values of 0 to n-1 for each value of n. (This means that an orbital w ...
Quantum Numbers, Orbitals, and Probability Patterns
... One way of looking at this picture is as an indication of the probability of where you are likely to find the electron in this atom. Keep in mind that this image represents an atom with a single electron. The dots do not represent different electrons; the dots are positions where the single electron ...
... One way of looking at this picture is as an indication of the probability of where you are likely to find the electron in this atom. Keep in mind that this image represents an atom with a single electron. The dots do not represent different electrons; the dots are positions where the single electron ...
CHEM-UA 127: Advanced General Chemistry I
... The hydrogen molecule ion H+ 2 is the only molecule for which we can solve the electronic Schrödinger equation exactly. Note that it has just one electron! In fact, there are no multi-electron molecules we can solve exactly. Thus from H2 on up to more complicated molecules, we only have approximate ...
... The hydrogen molecule ion H+ 2 is the only molecule for which we can solve the electronic Schrödinger equation exactly. Note that it has just one electron! In fact, there are no multi-electron molecules we can solve exactly. Thus from H2 on up to more complicated molecules, we only have approximate ...
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.