Eigenfunctions of the complex fractional Fourier transform obtained in the context of quantum optics
JOSA A, Vol. 25, Issue 4, pp. 974-978 (2008)
http://dx.doi.org/10.1364/JOSAA.25.000974
Enhanced HTML 
Acrobat PDF (110 KB)
Abstract
We employ the recently established basis (the two-variable Hermite–Gaussian function) of the generalized Bargmann space (BGBS) [ Phys. Lett. A 303, 311 (2002) ] to study the generalized form of the fractional Fourier transform (FRFT). By using the technique of integration within an ordered product of operators and the bipartite entangled-state representations, we derive the generalized generating function of the BGBS with which the undecomposable kernel of the two-dimensional FRFT [also named complex fractional Fourier transform (CFRFT)] is obtained. This approach naturally shows that the BGBS is just the eigenfunction of the CFRFT.
© 2008 Optical Society of America
OCIS Codes
(270.6570) Quantum optics : Squeezed states
(070.2575) Fourier optics and signal processing : Fractional Fourier transforms
ToC Category:
Fourier Optics and Signal Processing
History
Original Manuscript: December 21, 2007
Manuscript Accepted: February 15, 2008
Published: March 26, 2008
Citation
Hong-Yi Fan, Li-yun Hu, and Ji-suo Wang, "Eigenfunctions of the complex fractional Fourier transform obtained in the context of quantum optics," J. Opt. Soc. Am. A 25, 974-978 (2008)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-25-4-974
You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.
Contact your librarian or system administrator
or
Log in to access OSA Member Subscription
You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.
Contact your librarian or system administrator
or
Log in to access OSA Member Subscription
You do not have subscription access to this journal. Article level metrics are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.
Contact your librarian or system administrator
or
Log in to access OSA Member Subscription
Related Journal Articles 
- Quantum noise reduction in singly resonant optical devices (JOSAB)
- Soliton squeezing and the continuum (JOSAB)
- Analysis of amplitude squeezing of harmonic generation in a quasi-phase-matched device: effect of stochastic variation of domain length (JOSAB)
- Reduction of quantum noise in transmittance estimation using photon-correlated beams (JOSAA)
- Accounting for the continuum in analysis of squeezing with solitons (JOSAB)
Related Conference Papers
- Quantum holographic teleportation
- Enhancing Quantum Nondemolition Measurements using Electro-Optic Feedforward
- Trapped-Ion Entanglement for Precision Measurements and Decoherence Suppression
- Quantum state exchange between coupled modes
- Quantum state exchange between coupled modes
- Ultra-High Frequency Squeezing in an Optical Parametric Oscillator
« Previous Article | Next Article »
OSA is a member of 