Why is the Laser Line So Narrow? A Theory of Single-Quasimode Laser Operation

Lang, R.; Scully, Marlan O.; Lamb, Willis E.

doi:10.1103/physreva.7.1788

Cited by 214 publications

(173 citation statements)

References 14 publications

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“…The "standard" versions of the master equation that have been formulated for systems in nearly-ideal cavities [1,2,7] are not adequate for this purpose. For systems with nonsqueezed baths we have reached this conclusion before [3,4].…”

Section: Degenerate Parametric Oscillator With Localized Interaction mentioning

confidence: 99%

“…For nearly-perfect cavities, with mirrors of vanishingly small transmittivity, the loss effects lead to damping terms of which the form is well understood [1,2]. If the mirror transmittivity becomes finite, the damping terms get a more complicated structure, owing to the interplay of the loss mechanism and the intracavity interaction.…”

Section: Introductionmentioning

confidence: 99%

“…In establishing the master equation one has to specify the properties of the "bath", of which the degrees of freedom are associated to (linear combinations of the) universe modes that are independent of the quasimodes. Often either a vacuum bath or a thermal bath at some finite temperature is considered [1,2]. More recently squeezed baths have been investigated [7].…”

Section: Generalized Master Equationmentioning

confidence: 99%

“…The (positive-frequency part of the) electric field operator inside the cavity then gets the form [2,9] …”

Section: Generalized Master Equationmentioning

confidence: 99%

“…The master equation discussed in [1,2] is valid provided that the losses occur by radiation into a pure vacuum, or, in other words, that the system is coupled to a vacuum "bath". The same configuration has been assumed in deriving the generalized master equation in [3].…”

Section: Introductionmentioning

confidence: 99%

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Generalized master equation for systems in nonideal cavities with squeezed baths

Plank

Suttorp

1998

Eur. Phys. J. D

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Generalized master equation for systems in nonideal cavities with squeezed baths van der Plank, R.W.F.; Suttorp, L.G. Disclaimer/Complaints regulationsIf you believe that digital publication of certain material infringes any of your rights or (privacy) interests, please let the Library know, stating your reasons. In case of a legitimate complaint, the Library will make the material inaccessible and/or remove it from the website. Please Ask the Library: http://uba.uva.nl/en/contact, or a letter to: Library of the University of Amsterdam, Secretariat, Singel 425, 1012 WP Amsterdam, The Netherlands. You will be contacted as soon as possible. Download date: 01 Apr 2019Eur. Phys. J. D 3, 183-193 (1998) Abstract. The master equation for the density operator of a system in a lossy cavity, which is coupled to a squeezed bath, is generalized so as to include the effects of an enhanced loss through a mirror of finite transmittivity. As compared to the standard master equation, which is valid for a nearly-perfect cavity, the generalized master equation is found to contain additional terms that account for an effective squeezed-light mixing at the nonideal mirror and for the interplay of the photon loss and the interaction within the cavity. As an example, the new master equation is used to study the influence of the enhanced losses on the photon statistics of a localized degenerate parametric oscillator. It is found that considerable changes in the photon distribution can occur as soon as the quality of the mirror becomes less than perfect. THE EUROPEAN PHYSICAL JOURNAL D c EDP Sciences Springer-Verlag

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Section: Degenerate Parametric Oscillator With Localized Interaction mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Generalized Master Equationmentioning

confidence: 99%

“…The (positive-frequency part of the) electric field operator inside the cavity then gets the form [2,9] …”

Section: Generalized Master Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Generalized master equation for systems in nonideal cavities with squeezed baths

Plank

Suttorp

1998

Eur. Phys. J. D

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Exceptional Points as Lasing Prethresholds

Zyablovsky

Doronin

Andrianov

et al. 2021

Laser & Photonics Reviews

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The genesis of lasing, as an evolution of the laser hybrid eigenstates comprised of electromagnetic modes and atomic polarization, is considered. It is shown that the start of coherent generation at the laser threshold is preceded by the formation of a special hybrid state at the lasing prethreshold. This special state is characterized by an enhanced coupling among excited atoms and electromagnetic modes. This leads to an increase in the rate of stimulated emission in the special state and, ultimately, to lasing. At the lasing prethreshold, the transformation of hybrid eigenstates has the features of an exceptional point (EP) observed in non‐Hermitian systems. The special state is formed when eigenfrequencies of two hybrid states coalesce or come close to each other. Below the prethreshold, lifetimes of all hybrid states grow with increasing pump rate. When the pump rate crosses the prethreshold, resonance trapping occurs with the lifetime of the special state continuing to increase while the lifetimes of all other eigenstates begin to decrease. Consequently, the latter eigenstates do not participate in the lasing. Thus, above the prethreshold, a laser transitions into the single‐mode regime.

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Analysis of the Spontaneous Emission Limited Linewidth of an Integrated III–V/SiN Laser

Chow

Wan

Bowers

et al. 2022

Laser & Photonics Reviews

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This article describes a calculation of the spontaneous emission limited linewidth of a semiconductor laser consisting of hybrid or heterogeneously integrated, silicon and III-V intracavity components. Central to the approach are a) description of the multi-element laser cavity in terms of composite laser/free-space eigenmodes, b) use of multimode laser theory to treat mode competition and multiwave mixing, and c) incorporation of quantum-optical contributions to account for spontaneous emission effects. Application of the model is illustrated for the case of linewidth narrowing in an InAs quantum-dot laser coupled to a high-Q SiN cavity.

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Why is the Laser Line So Narrow? A Theory of Single-Quasimode Laser Operation

Cited by 214 publications

References 14 publications

Generalized master equation for systems in nonideal cavities with squeezed baths

Generalized master equation for systems in nonideal cavities with squeezed baths

Exceptional Points as Lasing Prethresholds

Analysis of the Spontaneous Emission Limited Linewidth of an Integrated III–V/SiN Laser

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