Generalization of the Lorenz-Haken model to atomic systems with different relaxation rates for the two laser levels

Tomas, Martin; Roldán, Eugenio; Valcárcel, Germán J. de; Vilaseca, R.

doi:10.1016/0030-4018(94)00576-g

Cited by 9 publications

(2 citation statements)

References 27 publications

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“…Beyond this interval, both C and B remain positive, leading to (47) having no physically meaningful solution, resulting in m being equal to zero. It can be demonstrated that within the interval p 1 < p < p 2 , the solution m ≠ 0 is stable, while for values of p below p 1 and above p 2 , the solution of m = 0 will be stable [79][80][81][82][83][84][85][86][87]. This corresponds to the lasing regime, where p 1 can be identified as the lasing threshold.…”

Section: Ammentioning

confidence: 98%

Coherent and incoherent pumping of a three-level laser

Parvin

2023

Phys. Scr.

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This article investigates the quantum and semi-classical aspects of a three-level atom-cavity system within the context of cavity quantum electrodynamics. The study examines the behavior of the system through a quantum perspective and a semi-classical approximation. The steady-state master equation is solved in the atom-cavity basis, resulting in a closed set of equations describing the atom’s level occupancies and the cavity’s photon number. The accuracy of the semi-classical approximation is assessed by comparing it with quantum simulations. The research analyzes the system’s behavior near the laser threshold, highlighting the interplay between semi-classical and quantum behaviors. Additionally, the conversion of the three-level atom to a two-level atom is explored under specific conditions, enabling an investigation into the weak driving limit. Quantum simulation results are used to validate the proposed approximations. This work contributes to the understanding of atom-cavity interactions and provides insights into the transition from semi-classical to quantum behavior in such systems.

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Section: Ammentioning

confidence: 98%

Coherent and incoherent pumping of a three-level laser

Parvin

2023

Phys. Scr.

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“…These factors in general lead to different laser dynamics. [4] Saturable absorbers and added degrees of freedom such as pumps, resonator loss, and resonator frequency modulations [3,5,6] all have strong effects on laser dynamics. Feedback has long been used in laser design to generate high quality of laser light and chaotic lasers.…”

Section: Introductionmentioning

confidence: 99%

Virtual Photon Effects on Chaos in Generalized Lorenz–Haken Equation

Ju¹,

Hong-Bin²,

Yang³

et al. 2005

Commun. Theor. Phys.

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The dynamics of an ensemble of two-level atoms injected into a single-mode cavity is studied in the exact atom-field interaction situation, in which the counter-rotating terms describing the so-called virtual photon processes neglected in the rotating-wave approximation, are considered. The cavity mode is driven by the injected classical field, and the atom is prepared in a coherent superposition of the two levels. We first derive the generalized Lorenz–Haken equation by using the technique of quantum Langevin equation, and then numerically study the dynamics of this equation. We find that the virtual photon processes have strong effects on the dynamics, which can cause the trajectory in phase space of strange attractor spiral around four focus points, and the trajectory is modulated by virtual photon processes. The chaos region in parameter space is now enlarged. It should be stressed that the strange attractor can exist in optical bistability, and whether the atomic coherences and classical field can inhibit chaos depends on the laser frequency.

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Dynamics of the stochastic Lorenz-Haken system

Feng

Liu

2016

Chaos, Solitons & Fractals

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Generalization of the Lorenz-Haken model to atomic systems with different relaxation rates for the two laser levels

Cited by 9 publications

References 27 publications

Coherent and incoherent pumping of a three-level laser

Coherent and incoherent pumping of a three-level laser

Virtual Photon Effects on Chaos in Generalized Lorenz–Haken Equation

Dynamics of the stochastic Lorenz-Haken system

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