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Photon statistics of nonclassical radiation in second harmonic generation

Jan Peřina, J. Křepelka, R. Horák +2 more

Czechoslovak Journal of PhysicsOct 1, 198710 citations

Formation of polarisation-squeezed light in type II optical frequency doubling

V. N. Beskrovnyi, Anatolii S Chirkin

A new efficient method for the generation of light with a nonclassical polarisation state is proposed. This method is based on second-harmonic generation by mixing the fundamental-frequency radiation with ordinary and extraordinary polarisations in a quadratically nonlinear crystal. It is shown that fundamental-frequency radiation with strongly suppressed quantum fluctuations of the Stokes parameters can be obtained at the output from this crystal.

Quantum ElectronicsSep 30, 19962 citations

Coupling of coherent optical fields in the process of second harmonic generation

K. Lahti, Ilkka Juhani Tittonen

Jan 1, 20010 citations

Interference effects in second-harmonic generation within an optical cavity

Ling-An Wu, Harry J. Kimble

An experiment is described that investigates certain interference effects for second-harmonic generation within a resonant cavity. By employing a noncollinear geometry, the phases of two fundamental beams from a frequency-stabilized dye laser can be controlled unrestricted by the boundary conditions imposed in an optical cavity containing a KDP crystal and resonant at the second harmonic. The fundamental beams are either traveling or standing waves and generate either one or two coherent sources of ultraviolet radiation within the cavity. The experiment demonstrates explicitly the dependence of second-harmonic phase on the fundamental phases and the dependence of coupling efficiency on the overlap of the harmonic polarization wave with the cavity-mode function. The measurements agree well with a simple theory.An experiment is described that investigates certain interference effects for second-harmonic generation within a resonant cavity. By employing a noncollinear geometry, the phases of two fundamental beams from a frequency-stabilized dye laser can be controlled unrestricted by the boundary conditions imposed in an optical cavity containing a KDP crystal and resonant at the second harmonic. The fundamental beams are either traveling or standing waves and generate either one or two coherent sources of ultraviolet radiation within the cavity. The experiment demonstrates explicitly the dependence of second-harmonic phase on the fundamental phases and the dependence of coupling efficiency on the overlap of the harmonic polarization wave with the cavity-mode function. The measurements agree well with a simple theory.

Journal of the Optical Society of America BMay 1, 198529 citations

Six-wave mixing and optically induced fields in second harmonic generation

Davıd L. Andrews, Philip Allcock

European Quantum Electronics Conference (EQEC)Aug 24, 20050 citations

Absence of quantum optical coherence in high harmonic generation

Philipp Stammer

The optical phase of the driving field in the process of high harmonic generation and the coherence properties of the harmonics are fundamental concepts in attosecond physics. Here, we consider driving the process by incoherent classical and nonclassical light fields exhibiting an undetermined optical phase. With this, we introduce the notion of quantum optical coherence into high harmonic generation and show that high harmonics can be generated from incoherent radiation despite having a vanishing electric field. We explicitly derive the quantum state of the harmonics when driven by carrier-envelope phase unstable fields and show that the generated harmonics are incoherent and exhibit zero electric field amplitudes. We find that the quantum state of each harmonic is diagonal in its photon number basis, but nevertheless has the exact same photon statistics as the widely considered coherent harmonics. From this, we conclude that assuming coherent harmonic radiation can originate from a preferred ensemble fallacy. These findings have profound implications for attosecond experiments and how to infer the harmonic radiation properties. Published by the American Physical Society 2024The optical phase of the driving field in the process of high harmonic generation and the coherence properties of the harmonics are fundamental concepts in attosecond physics. Here, we consider driving the process by incoherent classical and nonclassical light fields exhibiting an undetermined optical phase. With this, we introduce the notion of quantum optical coherence into high harmonic generation and show that high harmonics can be generated from incoherent radiation despite having a vanishing electric field. We explicitly derive the quantum state of the harmonics when driven by carrier-envelope phase unstable fields and show that the generated harmonics are incoherent and exhibit zero electric field amplitudes. We find that the quantum state of each harmonic is diagonal in its photon number basis, but nevertheless has the exact same photon statistics as the widely considered coherent harmonics. From this, we conclude that assuming coherent harmonic radiation can originate from a preferred ensemble fallacy. These findings have profound implications for attosecond experiments and how to infer the harmonic radiation properties. Published by the American Physical Society 2024

arXiv:2309.05010Physical Review ResearchAug 8, 202418 citations

Nonclassical polarization properties of fundamental radiation in the case of generation of the second optical harmonic by mixing

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