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Every-day electromagnetic radiation, such as radio and TV waves, is also an example of near coherent states (macroscopic quantum coherence). That should "give one pause" regarding the conventional demarcation between quantum and classical. The coherence in superfluidity should not be attributed to any subset of helium atoms; it is a kind of ...
This is a derivative of the quantum Hall state of matter. Quantum anomalous Hall state: A state which has a quantized Hall resistance even in the absence of external magnetic field. Topological insulator: a material whose interior behaves as an electrical insulator while its surface behaves as an electrical conductor.
For bosons, a Bose–Einstein condensate is an example of a system exhibiting macroscopic quantum coherence through a multiple occupied single-particle state. The classical electromagnetic field exhibits macroscopic quantum coherence. The most obvious example is the carrier signal for radio and TV.
As a tool for physics, quantum states grew out of states in classical mechanics. A classical dynamical state consists of a set of dynamical variables with well-defined real values at each instant of time. [1]: 3 For example, the state of a cannon ball would consist of its position and velocity. The state values evolve under equations of motion ...
A macroscopic quantum state is a state of matter in which macroscopic properties, such as mechanical motion, [1] thermal conductivity, electrical conductivity [2] and viscosity, can be described only by quantum mechanics rather than merely classical mechanics. [3]
The parameter space for the coherent states is the "complexification" of K; e.g., if K is SU(n) then the complexification is SL(n,C). These coherent states have a resolution of the identity that leads to a Segal-Bargmann space over the complexification. Hall's results were extended to compact symmetric spaces, including spheres, by Stenzel.
Macroscopic quantum phenomena are processes showing quantum behavior at the macroscopic scale, rather than at the atomic scale where quantum effects are prevalent. The best-known examples of macroscopic quantum phenomena are superfluidity and superconductivity ; other examples include the quantum Hall effect , Josephson effect and topological ...
Coherent state are quantum mechanical states that have the maximal coherence and have the most "classical"-like behavior. A coherent state is defined as the quantum mechanical state that is the eigenstate of the electric field operator E ^ + {\displaystyle {\hat {E}}^{+}} .