Quantum statistical properties of one-atom lasers

Karlovich, T. B.; Kilin, S. Ya.

doi:10.1134/1.1405210

Cited by 26 publications

(34 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In introduction to this section we mentioned that close approach based on quasi-probabilities have been considered by two authors Karlovich and Kilin in [6]. They have worked with first order differential equation system for function P and additional quasi-probabilities.…”

Section: Comparing With Other Authorsmentioning

confidence: 99%

“…Besides numerical simulations they have also found approximated expression for P function which can be used in the case of good-cavity regime. Here we follow the nearest approach as in [6], but we manage to derive isolated stationary equation for P function. A detailed analysis of the latter allows us to obtain approximated solution, which has wider region of application than that in [6].…”

Section: Master Equation Approachmentioning

confidence: 99%

“…Some interesting effects which do not appear in conventional lasers have been revealed, such as squeezing, self-quenching in incoherently pumped laser, deviations from the SchawlowTownes formula for the linewidth. Subsequent publications related to single-emitter problem [2][3][4][5][6][7][8][9] have proven these results and also discovered new effects connected with the presence of one emitter: vacuum-Rabi doublet in the spectrum [2,4], lasing without inversion [6], entanglement between emitter and field subsystems [7]. In most of these works results have been obtained with help of different type of numerical methods applied to the master equation for density operator or to the HeisenbergLangevin equations.…”

Section: Introductionmentioning

confidence: 99%

“…In [5,9] more efficient quantum trajectory algorithm have been developed for numerical evaluating of master equation. The works [6,7] are devoted to analysis of the master equation written in terms of coherent states for field. In light of our interest, we want to briefly discuss one of them, namely [6].…”

Section: Master Equation Approachmentioning

confidence: 99%

“…The works [6,7] are devoted to analysis of the master equation written in terms of coherent states for field. In light of our interest, we want to briefly discuss one of them, namely [6]. Authors have worked with the system of equations for Glauber-Sudarshan P function and additional quasi-probabilities.…”

Section: Master Equation Approachmentioning

confidence: 99%

See 4 more Smart Citations

Quantum theory of a single-emitter nanolaser

Larionov

Kolobov

2013

Phys. Rev. A

View full text Add to dashboard Cite

Using two equivalent approaches, Heisenberg-Langevin and density operator, we investigate the properties of nanolaser: an incoherently pumped single two-level system interacting with a singlecavity mode of finite finesse. We show that in the case of good-cavity regime the HeisenbergLangevin approach provides the analytical results for linewidth, amplitude fluctuation spectrum, and intracavity Mandel Q-parameter. In the bad-cavity regime we estimate the frequency at which the peak of relaxation oscillations appears. With the help of the master equation for density operator written in terms of coherent states we obtain approximated expression for Glauber-Sudarshan P function. This solution can be used in the case of good-cavity regime and allows us to investigate in more detail the thresholdless behaviour of the nanolaser. All two approaches are in a very good agreement with each other and numerical simulations.

show abstract

Section: Comparing With Other Authorsmentioning

confidence: 99%

Section: Master Equation Approachmentioning

confidence: 99%