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Mesoscopic quantum superposition of the generalized cat state: A diffraction limit

DSpace at IIT Bombay

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Title Mesoscopic quantum superposition of the generalized cat state: A diffraction limit
 
Creator GHOSH, S
SHARMA, R
ROY, U
PANIGRAHI, PK
 
Subject PHASE-SPACE
PHOTON DISTRIBUTION
SQUEEZED STATES
INTERFERENCE
OSCILLATIONS
 
Description The orthogonality of cat and displaced cat states, underlying Heisenberg limited measurement in quantum metrology, is studied in the limit of a large number of states. The mesoscopic superposition of the generalized cat state is correlated with the corresponding state overlap function, controlled by the sub-Planck structures arising from phase-space interference. The asymptotic expression of this overlap function is evaluated, and the validity of large phase-space support and distinguishability of the constituent states, in which context the asymptotic limit is achieved, are discussed in detail. For a large number of coherent states, uniformly located on a circle, the overlap function significantly matches the diffraction pattern for a circular ring source with uniform angular strength. This is in accordance with the van Cittert-Zernike theorem, where the overlap function, similar to the mutual coherence function, matches a diffraction pattern. The physical situation under consideration is delineated in phase space by utilizing the Husimi Q function.
 
Publisher AMER PHYSICAL SOC
 
Date 2016-01-15T08:30:11Z
2016-01-15T08:30:11Z
2015
 
Type Article
 
Identifier PHYSICAL REVIEW A, 92(5)
1050-2947
1094-1622
http://dx.doi.org/10.1103/PhysRevA.92.053819
http://dspace.library.iitb.ac.in/jspui/handle/100/18168
 
Language en