Quantum theory of a two-photon laser

Zhu, Shi-Yao; Li, Xiao-shen

doi:10.1103/physreva.36.3889

Cited by 47 publications

(14 citation statements)

References 23 publications

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“…2¹ which agrees with the expression obtained in [15] for the case where both upper and lower level decay rates are equal. As far as we know, this is the first time such an expression is derived for different decay rates.…”

Section: Madelsupporting

confidence: 90%

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Influence of spontaneous emission on trapping states and start-up times of degenerate two-photon micromasers

et al. 1995

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We study degenerate two-photon micromasers pumped by cascade three-level atoms, where each atomic energy level has a difFerent linewidth. Our model allows us to recover the ordinary twophoton micromaser situation when these widths vanish. In the limit of large linewidths we obtain a two-photon laser model. We show that trapping states are extremely sensitive to atomic decay, even when the decay time is small in comparison to the transit time through the cavity. Unlike the one-photon micromaser, they are sensitive to the linewidth of the upper as well as the lower energy level. We have also studied the effects of atomic decay on the starting time of micromasers and on the noise. We found that there is a significant difFerence between the behavior of two-photon micromasers and lasers as we change the ratio of the widths of the upper and lower levels.PACS number(s): 42.50.Dv, 42.52.+x

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Section: Madelsupporting

confidence: 90%

“…3 to the two-photon laser limit and it reflects the fact that the photon distribution has at most two peaks [17].…”

Section: Madelmentioning

confidence: 97%

Influence of spontaneous emission on trapping states and start-up times of degenerate two-photon micromasers

et al. 1995

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“…Similar to the single photon lasers where lasing occurs due to stimulated emission of single photons, it was also predicted that a similar coherent generation of light is also possible through stimulated two-photon processes 26 . Further, the output of a two-photon laser would be squeezed coherent state that exhibits quantum properties 27 .…”

Section: Introductionmentioning

confidence: 91%

Continuous two-photon source using a single quantum dot in a photonic crystal cavity

Singh,

Das,

Pathak

2019

Preprint

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We propose methods for realization of continuous two photon source using coherently pumped quantum dot embedded inside a photonic crystal cavity. We analyze steady state population in quantum dot energy levels and field inside the cavity mode. We find conditions for population inversion in coherently pumped and incoherently pumped quantum dot. We show that squeezing in the output for two two photon laser is not visible using coherent as well as incoherent pump. We discuss effect of phonon coupling using recently developed polaron transformed master equation at low temperatures. We also propose scheme for generating squeezed state of field using four wave mixing.

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“…In the microwave region a twophoton Rb micromaser was developed a few years ago [9]. From the theoretical point of view the main effort has also been devoted to the quantum description of the two-photon laser or maser [5,10]; the dynamics has been considered only in [11] (two-photon maser) and [12] (two-photon laser), although in this latter case a two-level model has been adopted which does not contain the cascade limit.…”

Section: Introductionmentioning

confidence: 99%

Stability properties of a resonant cascade laser

1994

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The emission of a resonant nondegenerate cascade laser in which up to two fields can be simultaneously amplified inside a cavity is theoretically investigated. Each field is resonantly coupled with one of the transitions of a ladder three-level atomic system, in conditions of homogeneous broadening. General analytical expressions for zero-, one-, and two-field solutions are given. Cooperative emission between both fields is found. Through the linear stability analysis of these solutions we obtain phase diagrams showing their respective domains of stability. Together with the existence of Hopf bifurcations associated with one-photon processes, which coincide with those of a Lorenz-Haken laser, a genuine Hopf bifurcation due to two-photon processes has been found. This last bifurcation does not require the "bad cavity" nor the "Lorenz threshold" conditions. The stability of the orbits that bifurcate from these critical points is analytically investigated. For this we have rewritten one of the standard criteria in a useful and straightforward way. Finally, the dynamic regimes exhibited by the system well above the instability thresholds is numerically investigated revealing transitions to chaos via quasiperiodicity. PACS number(s): 42.55.f, 42.60.Mi, 47.20. Ky, 05.45. +b

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Quantum theory of a two-photon laser

Cited by 47 publications

References 23 publications

Influence of spontaneous emission on trapping states and start-up times of degenerate two-photon micromasers

Influence of spontaneous emission on trapping states and start-up times of degenerate two-photon micromasers

Continuous two-photon source using a single quantum dot in a photonic crystal cavity

Stability properties of a resonant cascade laser

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