Analytical solution to the quantum field theory of self-phase modulation with a finite response time

Boivin, L.; Kärtner, F.X.; Haus, H.A.

doi:10.1103/physrevlett.73.240

Cited by 80 publications

(74 citation statements)

References 8 publications

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“…The origin of correlations in the intensity fluctuations within the white light continuum is intrinsic to spectral broadening by χ (3) Kerr effect [87,88].…”

Section: Noise Reduction Through Spectral Correlationsmentioning

confidence: 99%

Physics and applications of atmospheric nonlinear optics and filamentation

2008

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Abstract:We review the properties and applications of ultrashort laser pulses in the atmosphere, with a particular focus on filamentation. Filamentation is a non-linear propagation regime specific of ultrashort and ultraintense laser pulses in the atmosphere. Typical applications include remote sensing of atmospheric gases and aerosols, lightning control, laserinduced spectroscopy, coherent anti-stokes Raman scattering, and the generation of sub-THz radiation. References and Links 1. P. L. Kelley, "Self-focusing of optical beams," Phys. Rev. Lett. 15, 1005-1008 (1965); Erratum in Phys.Rev. Lett. 16, 384 (1965) 2. G. A. Askar'yan, "The self-focusing effect," Sov. Phys. J. 16 680 (1974) 3. A. Braun, G. Korn, X. Liu, D. Du, J. Squier, G. Mourou, "Self-channeling of high-peak-power femtosecond laser pulses in air," Opt. Lett. 20, 73-75 (1995) 4. L. Roso-Franco, "Self-reflected wave insid a very dense saturable absorber," Phys. Rev. Lett. 55, 2149-2151 (1985) 5. R. R. Alfano, S. L. Shapiro, "Emission in the region 4000 to 7000 Å," Phys. Rev. Lett. 24, 584-587 (1970) 6. R. R. Alfano, S. L. Shapiro, "Observation of self-phase modulation and small-scale filaments in crystals and glasses," Phys. Rev. Lett. 24, 592-595 (1970) 7.R. R. Alfano, S. L. Shapiro, "Direct distortion of electric clouds of rare-gas atoms in intense electric fields," Phys. Rev. Lett. 24, 1217Lett. 24, -1220Lett. 24, (1970. A. Brodeur, S. L. Chin, "Ultrafast white-light continuum generation and self-focusing in transparent condensed media," J. Opt. Soc. Am. B 16, 637-650 (1999) 9. Y. Shen, "The principles of nonlinear optics," John Wiley & Sons (1984) 10. G. Yang, Y. Shen, "Spectral broadening of ultrashort pulses in a nonlinear medium," Opt. Lett. 9, 510-512 (1984) 11. A. L. Gaeta, "Catastrophic collapse of ultrashort pulses, Phys. Rev. Lett." 84, 3582-3585 (2000) 12. K. Ranka, R. W. Schirmer, A. L. Gaeta, "Observation of pulse splitting in nonlinear dispersive media," Phys. Rev. Lett. 77, 3783-3786 (1996) 13. A. Proulx, A. Talebpour, S. Petit, S. L. Chin, "Fast pulsed electric field created from the self-generated filament of a femtosecond Ti:Sapphire laser pulse in air," Opt. Commun. 174, 305-309 (2000) 14. S. Tzortzakis, M. A. Franco, Y.-B. André, A. Chiron, B. Lamouroux, B. S. Prade, A. Mysyrowicz, "Formation of a conducting channel in air by self-guided femtosecond laser pulses," Phys. Rev. E 60, R3505-R3507 (1999) 15. S. Tzortzakis, B. Prade, M. Franco, A. Mysyrowicz, "Time evolution of the plasma channel at the trail of a self-guided IR femtosecond laser pulse in air," Optics Commun. 181, 123-127 (2000) 16. H. Schillinger, R. Sauerbrey, "Electrical conductivity of long plasma channels in air generated by selfguided femtosecond laser pulses," Appl. Phys. B 68, 753-756 (1999) 17. D. Strickland, G. Mourou, "Compression of amplified chirped optical pulses," Opt. Commun. 56, 219-221 (1985) #89041 556-558 (1968). Note that the radius considered in the classical writing of Marburger's formula is the half-width at ...

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“…The origin of correlations in the intensity fluctuations within the white light continuum is intrinsic to spectral broadening by χ (3) Kerr effect [87,88].…”

Section: Noise Reduction Through Spectral Correlationsmentioning

confidence: 99%

Physics and applications of atmospheric nonlinear optics and filamentation

2008

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“…It stands to reason then that this traditional approach to using cross-phase modulation (XPM) must be reanalyzed in a full, multimode, continuous-time treatment. XPM itself was lacking a multimode, continuous-time quantum theory until relatively recently when one was developed by Shapiro and Bondurant [8], which extended earlier work on the multimode, continuous-time quantum theory of self-phase modulation (SPM) by Boivin et al [9]. Their theory can be summarized as follows.…”

Section: Within the Field Of Quantum Computation One Of The Largest mentioning

confidence: 94%

Phase-Noise Limitations on Nonlinear-Optical Quantum Computing

2015

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Flying in the face of the long-sought-after goal of building optical quantum computers, we show that traditional approaches leveraging nonlinear-optical cross phase modulation (XPM) to construct the critical element, the cphase gate-a gate which seeks to impart a π-radian phase shift on a single photon pulse, conditioned on the presence of a second single photon pulse-are doomed to fail. The traditional story told in common textbooks fails to account for the continuous-time nature of the real world. Previous work addressing this fact-finding that that the proper continuous-time theory introduces fidelity-degrading phase noise that precludes such proposals-was limited in scope to the case of co-propagating pulses with equal group velocities. This left room for criticism that a high-fidelity cphase gate might be constructed using XPM with pulses that pass through each other. In our work, we build such a continuous-time quantum theory of XPM for pulses that pass through each other and evaluate its consequences. We find that fundamental aspects of the real world prevent one from constructing a perfect cphase gate, even in theory, and we show that the best we can do seems to fall far short of what is needed for quantum computation, even if we are extremely optimistic.

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“…The spectral density of phonon modes W (ω) can be shown to be related to the imaginary part of the nonlinear response by W (ω) = 4π Im{γ R(ω)} = 4πγf R χ R (ω) [52]. The Hamiltonian generating the relevant evolution term is easily identified asĤ (2) …”

Section: Appendix A: Hamiltoniansmentioning

confidence: 99%

“…We use a standard model for the phonon interaction and model the noise background as a continuum of independent and localized harmonic oscillators, with weight W (ω) [52]:…”

Section: Appendix A: Hamiltoniansmentioning

confidence: 99%

Effects of noninstantaneous nonlinear processes on photon-pair generation by spontaneous four-wave mixing

2017

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We present a general model, based on a Hamiltonian approach, for the joint quantum state of photon pairs generated through pulsed spontaneous four-wave mixing, including nonlinear phase modulation and a finite material response time. For the case of a silica fiber, it is found that the pair-production rate depends weakly on the waveguide temperature, due to higher-order Raman scattering events, and more strongly on pump-pair frequency detuning. From the analytical model, a numerical scheme is derived, based on the well-known split-step method. This scheme allows computation of joint states where nontrivial effects are included, such as groupvelocity dispersion and Raman scattering. In this work, the numerical model is used to study the impact of the noninstantaneous response on the prefiltering purity of heralded single photons. We find that for pump pulses shorter than 1 ps, a significant detuning-dependent change in quantum-mechanical purity may be observed in silica. This shows that Raman scattering not only introduces noise, but can also drastically change the spectral correlations in photon pairs when pumped with short pulses.

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Analytical solution to the quantum field theory of self-phase modulation with a finite response time

Cited by 80 publications

References 8 publications

Physics and applications of atmospheric nonlinear optics and filamentation

Physics and applications of atmospheric nonlinear optics and filamentation

Phase-Noise Limitations on Nonlinear-Optical Quantum Computing

Effects of noninstantaneous nonlinear processes on photon-pair generation by spontaneous four-wave mixing

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