Quantum analysis of light propagation in a parametric amplifier

Hüttner, B.; Serulnik, Sergio David; Ben‐Aryeh, Y.

doi:10.1103/physreva.42.5594

Cited by 123 publications

(82 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The quantum optics of parametric amplifiers is studied in Refs. [43,73,80,119,132,133,144,179,198], the quantum properties of phase-conjugating mirrors are considered in Refs. [2,3,22,54,139] and the quantum effects of fourwave mixers are studied in Refs.…”

Section: Parametric Amplifiermentioning

confidence: 99%

Quantum physics of simple optical instruments

2003

View full text Add to dashboard Cite

Simple optical instruments are linear optical networks where the incident light modes are turned into equal numbers of outgoing modes by linear transformations. For example, such instruments are beam splitters, multiports, interferometers, fibre couplers, polarizers, gravitational lenses, parametric amplifiers, phase-conjugating mirrors and also black holes. The article develops the quantum theory of simple optical instruments and applies the theory to a few characteristic situations, to the splitting and interference of photons and to the manifestation of Einstein-Podolsky-Rosen correlations in parametric downconversion. How to model irreversible devices such as absorbers and amplifiers is also shown. Finally, the article develops the theory of Hawking radiation for a simple optical black hole. The paper is intended as a primer, as a nearly self-consistent tutorial. The reader should be familiar with basic quantum mechanics and statistics, and perhaps with optics and some elementary field theory. The quantum theory of light in dielectrics serves as the starting point and, in the concluding section, as a guide to understand quantum black holes.

show abstract

Section: Parametric Amplifiermentioning

confidence: 99%

Quantum physics of simple optical instruments

2003

View full text Add to dashboard Cite

show abstract

“…As stated in Ref. [11], this approach avoids problems which could arise, especially with the quantization volume, if we were to work with the normal Hamiltonian approach. With the appropriate momentumspace operators, we use the well-known mapping onto stochastic differential equations in the positive-P representation [12] to calculate the development of the fields as they traverse the medium.…”

Section: The System and Equations Of Motionmentioning

confidence: 99%

“…The medium is pumped with a continuous wave laser at a frequency 1 , which interacts to produce a field at frequency 2 ͑=2 1 ͒. We follow the approach of Huttner et al [11], quantizing the two interacting fields in terms of the photon fluxes rather than in terms of energy densities. As stated in Ref.…”

Section: The System and Equations Of Motionmentioning

confidence: 99%

Continuous-variable Einstein-Podolsky-Rosen paradox with traveling-wave second-harmonic generation

Olsen

2004

Phys. Rev. A

View full text Add to dashboard Cite

show abstract

“…From the quantum field theory, it is known that the generator of the temporal evolution of the quantum states is the Hamiltonian operatorĤ, while their spatial propagation is best described by the momentum operatorM [41,42]. Therefore, the generation of quantum light in waveguides can be also described by this operator [43,44], which, in this case, is given bŷ…”

Section: Device Operationmentioning

confidence: 99%

Generation and Detection of Continuous Variable Quantum Vortex States via Compact Photonic Devices

2017

View full text Add to dashboard Cite

Abstract:A quantum photonic circuit with the ability to produce continuous variable quantum vortex states is proposed. This device produces two single-mode squeezed states which go through a Mach-Zehnder interferometer where photons are subtracted by means of weakly coupled directional couplers towards ancillary waveguides. The detection of a number of photons in these modes heralds the production of a quantum vortex. Likewise, a measurement system of the order and handedness of quantum vortices is introduced and the performance of both devices is analyzed in a realistic scenario by means of the Wigner function. These devices open the possibility of using the quantum vortices as carriers of quantum information.

show abstract

Quantum analysis of light propagation in a parametric amplifier

Cited by 123 publications

References 11 publications

Quantum physics of simple optical instruments

Quantum physics of simple optical instruments

Continuous-variable Einstein-Podolsky-Rosen paradox with traveling-wave second-harmonic generation

Generation and Detection of Continuous Variable Quantum Vortex States via Compact Photonic Devices

Contact Info

Product

Resources

About