Glauber-Sudarshan P-representation
- Glauber-Sudarshan P-representation
The Glauber-Sudarshan P-representation is a way of writing down the state of any type of light using the coherent states as a basis. It was developed by George Sudarshan and later adopted by Roy J. Glauber (see the references below). It was the subject of a controversy when Glauber was awarded a share of the 2005 Nobel Prize in Physics for his work in this field and Sudarshan's contribution was not recognized.
In this representation, the density matrix is written as:
:
where are the coherent states and is a quasi-probability distribution.
ee also
*Nonclassical light
*Wigner quasi-probability distribution
*Husimi Q representation
References
*E. C. G. Sudarshan, Phys. Rev. Letters 10, 277 (1963)
*Roy J. Glauber, Physical Review 131, 2766 (1963)
Wikimedia Foundation.
2010.
Look at other dictionaries:
George Sudarshan — Infobox Scientist name = George Sudarshan caption = Sudarshan receiving First Prize in Physics from Third World Academy of Sciences in 1985 imagesize = 300pxbirth date = September 16, 1931 birth place = Pallam, Kottayam district, Kerala, India… … Wikipedia
Nonclassical light — is any state of light that cannot be described using classical electromagnetism; its characteristics are described by the quantised electromagnetic field and quantum mechanics. Nonclassical light has nonclassical noise properties called quantum… … Wikipedia
Optical equivalence theorem — The optical equivalence theorem in quantum optics says that the expectation value of any normally ordered function of creation and annihilation operators, can be found by replacing the operators by their eigenvalues and averaging over the… … Wikipedia
Fock state — A Fock state (also known as a number state), in quantum mechanics, is any element of a Fock space with a well defined number of particles (or quanta). These states are named after the Soviet physicist, V. A. Fock. Contents 1 Definition 2 Energy… … Wikipedia
Nobel Prize controversies — Nobel Prize Awarded for Outstanding contributions in physics, chemistry, literature, peace, and physiology or medicine. The Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel, identified with the Nobel Prize, is awarded for… … Wikipedia
Matthew effect (sociology) — In sociology, the Matthew effect (or accumulated advantage) is the phenomenon where the rich get richer and the poor get poorer .[1][2] Those who possess power and economic or social capital can leverage those resources to gain more power or… … Wikipedia
Coherent states — In quantum mechanics a coherent state is a specific kind of quantum state of the quantum harmonic oscillator whose dynamics most closely resembles the oscillating behaviour of a classical harmonic oscillator. It was the first example of quantum… … Wikipedia
Coherent state — In quantum mechanics a coherent state is a specific kind of quantum state of the quantum harmonic oscillator whose dynamics most closely resemble the oscillating behaviour of a classical harmonic oscillator system. It was the first example of… … Wikipedia
