Mean-field Floquet theory for a three-level cold-atom laser
| Autor: | MURRAY HOLLAND, Gage Harmon, Simon Balthasar Jäger, Jarrod Reilly |
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| Rok vydání: | 2022 |
| Předmět: | |
| Zdroj: | Physical Review A. 106 |
| ISSN: | 2469-9934 2469-9926 |
| DOI: | 10.1103/physreva.106.013706 |
| Popis: | We present a theoretical description for a lasing scheme for atoms with three internal levels in a $V$-configuration and interacting with an optical cavity. The use of a $V$-level system allows for an efficient closed lasing cycle to be sustained on a dipole-forbidden transition without the need for incoherent repumping. This is made possible by utilizing an additional dipole-allowed transition. We determine the lasing threshold and emission frequency by performing a stability analysis of the non-lasing solution. In the lasing regime, we use a mean-field Floquet method (MFFM) to calculate the lasing intensity and emission frequency. This MFFM predicts the lasing transition to be accompanied by the breaking of a continuous $U(1)$ symmetry in a single Fourier component of the total field. In addition, we use the MFFM to derive bistable lasing and non-lasing solutions that highlight the non-linear nature of this system. We then test the bistability by studying hysteresis when slowly ramping external parameters across the threshold and back. Furthermore, we also compare our mean-field results to a second-order cumulant approach. The work provides simple methods for understanding complex physics that occur in cold atom lasers with narrow line transitions. 10 pages, 6 figures |
| Databáze: | OpenAIRE |
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