Orbitals Package Examples Introduction Initialization
... Plots of rigid rotor wavefunctions The spherical harmonics are also the rigid rotor wavefunctions, or the wavefunctions for the particle on a sphere. Plot the phase on the surface of the unit sphere, using a color code for the phase. Here is the (l,m)=(4,2) case. The nodes around two lines of latitu ...
... Plots of rigid rotor wavefunctions The spherical harmonics are also the rigid rotor wavefunctions, or the wavefunctions for the particle on a sphere. Plot the phase on the surface of the unit sphere, using a color code for the phase. Here is the (l,m)=(4,2) case. The nodes around two lines of latitu ...
Entanglement Entropy
... where α is unknown. A spin function like the one just written, or in general a function like ψ = aχ+ + bχ− (where a and b are fixed complex numbers satisfying |a|2 +|b|2 = 1), describe1 an electron spin oriented in a particular direction n = n (θ, ϕ) with θ = 2 arccos |a|, ϕ = arg b − arg a. This me ...
... where α is unknown. A spin function like the one just written, or in general a function like ψ = aχ+ + bχ− (where a and b are fixed complex numbers satisfying |a|2 +|b|2 = 1), describe1 an electron spin oriented in a particular direction n = n (θ, ϕ) with θ = 2 arccos |a|, ϕ = arg b − arg a. This me ...
Workshop on Spectral Geometry General Information
... Abstract: Quantum ergodicity is the study of how the ergodicity (or chaos, i.e. with exponential instability) of a classical Hamiltonian system is reflected in its corresponding quantum system. For example, what implication does ergodicity (or chaos) of the geodesic flow on a compact Riemannian mani ...
... Abstract: Quantum ergodicity is the study of how the ergodicity (or chaos, i.e. with exponential instability) of a classical Hamiltonian system is reflected in its corresponding quantum system. For example, what implication does ergodicity (or chaos) of the geodesic flow on a compact Riemannian mani ...
Few-electron quantum dot circuit with integrated charge read out
... one electron can tunnel back and forth between the two dots. Away from this line there is an energy difference and only one charge state is stable. However, i f the energy difference matches the photon energy, the transition to the other dot is possible by absorption o f a single photon. Such photon ...
... one electron can tunnel back and forth between the two dots. Away from this line there is an energy difference and only one charge state is stable. However, i f the energy difference matches the photon energy, the transition to the other dot is possible by absorption o f a single photon. Such photon ...
Quantum teleportation
Quantum teleportation is a process by which quantum information (e.g. the exact state of an atom or photon) can be transmitted (exactly, in principle) from one location to another, with the help of classical communication and previously shared quantum entanglement between the sending and receiving location. Because it depends on classical communication, which can proceed no faster than the speed of light, it cannot be used for faster-than-light transport or communication of classical bits. It also cannot be used to make copies of a system, as this violates the no-cloning theorem. While it has proven possible to teleport one or more qubits of information between two (entangled) atoms, this has not yet been achieved between molecules or anything larger.Although the name is inspired by the teleportation commonly used in fiction, there is no relationship outside the name, because quantum teleportation concerns only the transfer of information. Quantum teleportation is not a form of transportation, but of communication; it provides a way of transporting a qubit from one location to another, without having to move a physical particle along with it.The seminal paper first expounding the idea was published by C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres and W. K. Wootters in 1993. Since then, quantum teleportation was first realized with single photons and later demonstrated with various material systems such as atoms, ions, electrons and superconducting circuits. The record distance for quantum teleportation is 143 km (89 mi).