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Optical Tomograms of Multiple-Photon-Added Gaussian States via the Intermediate State Representation Theory
- Source :
- Journal of Experimental and Theoretical Physics. 127:383-390
- Publication Year :
- 2018
- Publisher :
- Pleiades Publishing Ltd, 2018.
-
Abstract
- Optical tomogram of a quantum state can serve as an alternative to its density matrix since it contains all the information on this state. In this paper we use the explicit expression of the intermediate state |q, f, g〉(that is, an eigenvector of the coordinate and momentum operator fQ + gP) and the Radon transform between the Wigner operator Δ(p, q) and the pure-state density operator |q, f, g〉〈q, f, g| to calculate the specific tomograms for multiple-photon-added coherent states (MPACSs), thermal states (MPATSs) and displaced thermal states (MPADTSs). Their analytical tomograms are actually the finite-summation representations related to single-variable Hermite polynomials. Besides, the numerical results indicate that the larger photon-addition number can lead to the multi-peak tomographic distributions for these three states, and the measurable tomograms of MPACSs and MPADTSs exhibit π-periodic features but MPATSs can’t.
- Subjects :
- Density matrix
Physics
Momentum operator
Hermite polynomials
Operator (physics)
General Physics and Astronomy
State (functional analysis)
01 natural sciences
010309 optics
Quantum state
Quantum mechanics
0103 physical sciences
Coherent states
010306 general physics
Eigenvalues and eigenvectors
Subjects
Details
- ISSN :
- 10906509 and 10637761
- Volume :
- 127
- Database :
- OpenAIRE
- Journal :
- Journal of Experimental and Theoretical Physics
- Accession number :
- edsair.doi...........fd46f320f358cb476fdc8b2aacdd426c