J C de Aquino Carvalho, R S N Moreira, J W R Tabosa
{"title":"测量冷原子泽曼变性两级系统中与磁辅助增益相关的陡峭色散","authors":"J C de Aquino Carvalho, R S N Moreira, J W R Tabosa","doi":"10.1088/1361-6455/ad2b6f","DOIUrl":null,"url":null,"abstract":"We report on the measurements of magnetically assisted dispersion and gain in a Zeeman degenerate two-level system associated with the closed <italic toggle=\"yes\">D</italic>\n<sub>2</sub> hyperfine transition <inline-formula>\n<tex-math><?CDATA $F_\\mathrm{g} = 3 \\rightarrow F_\\mathrm{e} = 2$?></tex-math>\n<mml:math overflow=\"scroll\"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant=\"normal\">g</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>3</mml:mn><mml:mo stretchy=\"false\">→</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant=\"normal\">e</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>2</mml:mn></mml:math>\n<inline-graphic xlink:href=\"bad2b6fieqn1.gif\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> cold cesium atoms. We use a Mach–Zehnder interferometer to measure the dispersive properties of this system in the presence of a magnetic field, transversal to the quantization direction, when the atomic system is excited by a coupling and probe beams with orthogonal polarizations. We have measured the spectrum of the refraction index for different magnitudes of the external magnetic field and different coupling beam intensities. A previously published theoretical model, using a simpler atomic transition <inline-formula>\n<tex-math><?CDATA $F_\\mathrm{g} = 1 \\rightarrow F_\\mathrm{e} = 0$?></tex-math>\n<mml:math overflow=\"scroll\"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant=\"normal\">g</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy=\"false\">→</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant=\"normal\">e</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:math>\n<inline-graphic xlink:href=\"bad2b6fieqn2.gif\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula>, accounts reasonably for the experimentally observed gain and dispersive lineshapes.","PeriodicalId":16826,"journal":{"name":"Journal of Physics B: Atomic, Molecular and Optical Physics","volume":"62 1","pages":""},"PeriodicalIF":1.5000,"publicationDate":"2024-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Measurement of steep dispersion associated with magnetically assisted gain in Zeeman degenerate two-level system of cold atoms\",\"authors\":\"J C de Aquino Carvalho, R S N Moreira, J W R Tabosa\",\"doi\":\"10.1088/1361-6455/ad2b6f\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We report on the measurements of magnetically assisted dispersion and gain in a Zeeman degenerate two-level system associated with the closed <italic toggle=\\\"yes\\\">D</italic>\\n<sub>2</sub> hyperfine transition <inline-formula>\\n<tex-math><?CDATA $F_\\\\mathrm{g} = 3 \\\\rightarrow F_\\\\mathrm{e} = 2$?></tex-math>\\n<mml:math overflow=\\\"scroll\\\"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant=\\\"normal\\\">g</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>3</mml:mn><mml:mo stretchy=\\\"false\\\">→</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant=\\\"normal\\\">e</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>2</mml:mn></mml:math>\\n<inline-graphic xlink:href=\\\"bad2b6fieqn1.gif\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula> cold cesium atoms. We use a Mach–Zehnder interferometer to measure the dispersive properties of this system in the presence of a magnetic field, transversal to the quantization direction, when the atomic system is excited by a coupling and probe beams with orthogonal polarizations. We have measured the spectrum of the refraction index for different magnitudes of the external magnetic field and different coupling beam intensities. A previously published theoretical model, using a simpler atomic transition <inline-formula>\\n<tex-math><?CDATA $F_\\\\mathrm{g} = 1 \\\\rightarrow F_\\\\mathrm{e} = 0$?></tex-math>\\n<mml:math overflow=\\\"scroll\\\"><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant=\\\"normal\\\">g</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy=\\\"false\\\">→</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi mathvariant=\\\"normal\\\">e</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mn>0</mml:mn></mml:math>\\n<inline-graphic xlink:href=\\\"bad2b6fieqn2.gif\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula>, accounts reasonably for the experimentally observed gain and dispersive lineshapes.\",\"PeriodicalId\":16826,\"journal\":{\"name\":\"Journal of Physics B: Atomic, Molecular and Optical Physics\",\"volume\":\"62 1\",\"pages\":\"\"},\"PeriodicalIF\":1.5000,\"publicationDate\":\"2024-03-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Physics B: Atomic, Molecular and Optical Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1088/1361-6455/ad2b6f\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"OPTICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Physics B: Atomic, Molecular and Optical Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1088/1361-6455/ad2b6f","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"OPTICS","Score":null,"Total":0}
Measurement of steep dispersion associated with magnetically assisted gain in Zeeman degenerate two-level system of cold atoms
We report on the measurements of magnetically assisted dispersion and gain in a Zeeman degenerate two-level system associated with the closed D2 hyperfine transition Fg=3→Fe=2 cold cesium atoms. We use a Mach–Zehnder interferometer to measure the dispersive properties of this system in the presence of a magnetic field, transversal to the quantization direction, when the atomic system is excited by a coupling and probe beams with orthogonal polarizations. We have measured the spectrum of the refraction index for different magnitudes of the external magnetic field and different coupling beam intensities. A previously published theoretical model, using a simpler atomic transition Fg=1→Fe=0, accounts reasonably for the experimentally observed gain and dispersive lineshapes.
期刊介绍:
Published twice-monthly (24 issues per year), Journal of Physics B: Atomic, Molecular and Optical Physics covers the study of atoms, ions, molecules and clusters, and their structure and interactions with particles, photons or fields. The journal also publishes articles dealing with those aspects of spectroscopy, quantum optics and non-linear optics, laser physics, astrophysics, plasma physics, chemical physics, optical cooling and trapping and other investigations where the objects of study are the elementary atomic, ionic or molecular properties of processes.