{"title":"锂中多光子电离途径的竞争","authors":"Balázs Tóth, Attila Tóth, András Csehi","doi":"10.1088/1361-6455/ad2b73","DOIUrl":null,"url":null,"abstract":"We study the three-photon ionization of atomic lithium by intense, short light pulses, via numerically solving the time-dependent Schrödinger equation. Two-photon Rabi oscillations are induced between the 2<italic toggle=\"yes\">s</italic> and 4<italic toggle=\"yes\">s</italic> states, which are damped due to single-photon ionization to the <italic toggle=\"yes\">p</italic> continuum. Developing a minimal three-level model, we analyze the spectral features of the Autler–Townes (AT) doublet that is formed upon the resonant coupling with the laser pulse. Furthermore, we show that this <inline-formula>\n<tex-math><?CDATA $2s \\rightarrow \\rightarrow 4s \\rightarrow p~continuum$?></tex-math>\n<mml:math overflow=\"scroll\"><mml:mn>2</mml:mn><mml:mi>s</mml:mi><mml:mo stretchy=\"false\">→→</mml:mo><mml:mn>4</mml:mn><mml:mi>s</mml:mi><mml:mo stretchy=\"false\">→</mml:mo><mml:mi>p</mml:mi><mml:mtext> </mml:mtext><mml:mi>c</mml:mi><mml:mi>o</mml:mi><mml:mi>n</mml:mi><mml:mi>t</mml:mi><mml:mi>i</mml:mi><mml:mi>n</mml:mi><mml:mi>u</mml:mi><mml:mi>u</mml:mi><mml:mi>m</mml:mi></mml:math>\n<inline-graphic xlink:href=\"bad2b73ieqn1.gif\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula> pathway is the dominant process, if the duration of the laser pulse exceeds a certain value. For shorter pulses, ionization through the 2<italic toggle=\"yes\">p</italic> state (<inline-formula>\n<tex-math><?CDATA $2s \\rightarrow 2p \\rightarrow 4d \\rightarrow f~continuum$?></tex-math>\n<mml:math overflow=\"scroll\"><mml:mn>2</mml:mn><mml:mi>s</mml:mi><mml:mo stretchy=\"false\">→</mml:mo><mml:mn>2</mml:mn><mml:mi>p</mml:mi><mml:mo stretchy=\"false\">→</mml:mo><mml:mn>4</mml:mn><mml:mi>d</mml:mi><mml:mo stretchy=\"false\">→</mml:mo><mml:mi>f</mml:mi><mml:mtext> </mml:mtext><mml:mi>c</mml:mi><mml:mi>o</mml:mi><mml:mi>n</mml:mi><mml:mi>t</mml:mi><mml:mi>i</mml:mi><mml:mi>n</mml:mi><mml:mi>u</mml:mi><mml:mi>u</mml:mi><mml:mi>m</mml:mi></mml:math>\n<inline-graphic xlink:href=\"bad2b73ieqn2.gif\" xlink:type=\"simple\"></inline-graphic>\n</inline-formula>) gradually becomes the dominant process, provided that the pulse is strong enough to induce several Rabi floppings. Here, we trace the competition of these ionization pathways by observing the structural changes in the shape of the AT doublet.","PeriodicalId":16826,"journal":{"name":"Journal of Physics B: Atomic, Molecular and Optical Physics","volume":"199 1","pages":""},"PeriodicalIF":1.5000,"publicationDate":"2024-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Competition of multiphoton ionization pathways in lithium\",\"authors\":\"Balázs Tóth, Attila Tóth, András Csehi\",\"doi\":\"10.1088/1361-6455/ad2b73\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study the three-photon ionization of atomic lithium by intense, short light pulses, via numerically solving the time-dependent Schrödinger equation. Two-photon Rabi oscillations are induced between the 2<italic toggle=\\\"yes\\\">s</italic> and 4<italic toggle=\\\"yes\\\">s</italic> states, which are damped due to single-photon ionization to the <italic toggle=\\\"yes\\\">p</italic> continuum. Developing a minimal three-level model, we analyze the spectral features of the Autler–Townes (AT) doublet that is formed upon the resonant coupling with the laser pulse. Furthermore, we show that this <inline-formula>\\n<tex-math><?CDATA $2s \\\\rightarrow \\\\rightarrow 4s \\\\rightarrow p~continuum$?></tex-math>\\n<mml:math overflow=\\\"scroll\\\"><mml:mn>2</mml:mn><mml:mi>s</mml:mi><mml:mo stretchy=\\\"false\\\">→→</mml:mo><mml:mn>4</mml:mn><mml:mi>s</mml:mi><mml:mo stretchy=\\\"false\\\">→</mml:mo><mml:mi>p</mml:mi><mml:mtext> </mml:mtext><mml:mi>c</mml:mi><mml:mi>o</mml:mi><mml:mi>n</mml:mi><mml:mi>t</mml:mi><mml:mi>i</mml:mi><mml:mi>n</mml:mi><mml:mi>u</mml:mi><mml:mi>u</mml:mi><mml:mi>m</mml:mi></mml:math>\\n<inline-graphic xlink:href=\\\"bad2b73ieqn1.gif\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula> pathway is the dominant process, if the duration of the laser pulse exceeds a certain value. For shorter pulses, ionization through the 2<italic toggle=\\\"yes\\\">p</italic> state (<inline-formula>\\n<tex-math><?CDATA $2s \\\\rightarrow 2p \\\\rightarrow 4d \\\\rightarrow f~continuum$?></tex-math>\\n<mml:math overflow=\\\"scroll\\\"><mml:mn>2</mml:mn><mml:mi>s</mml:mi><mml:mo stretchy=\\\"false\\\">→</mml:mo><mml:mn>2</mml:mn><mml:mi>p</mml:mi><mml:mo stretchy=\\\"false\\\">→</mml:mo><mml:mn>4</mml:mn><mml:mi>d</mml:mi><mml:mo stretchy=\\\"false\\\">→</mml:mo><mml:mi>f</mml:mi><mml:mtext> </mml:mtext><mml:mi>c</mml:mi><mml:mi>o</mml:mi><mml:mi>n</mml:mi><mml:mi>t</mml:mi><mml:mi>i</mml:mi><mml:mi>n</mml:mi><mml:mi>u</mml:mi><mml:mi>u</mml:mi><mml:mi>m</mml:mi></mml:math>\\n<inline-graphic xlink:href=\\\"bad2b73ieqn2.gif\\\" xlink:type=\\\"simple\\\"></inline-graphic>\\n</inline-formula>) gradually becomes the dominant process, provided that the pulse is strong enough to induce several Rabi floppings. Here, we trace the competition of these ionization pathways by observing the structural changes in the shape of the AT doublet.\",\"PeriodicalId\":16826,\"journal\":{\"name\":\"Journal of Physics B: Atomic, Molecular and Optical Physics\",\"volume\":\"199 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/ad2b73\",\"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/ad2b73","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}
引用次数: 0
摘要
我们通过数值求解随时间变化的薛定谔方程,研究了原子锂在强光短脉冲作用下的三光子电离。在 2s 和 4s 状态之间诱发了双光子拉比振荡,由于单光子电离到 p 连续体,这种振荡被阻尼。我们建立了一个最小三电平模型,分析了与激光脉冲共振耦合后形成的 Autler-Townes (AT) 双态的光谱特征。此外,我们还证明,如果激光脉冲的持续时间超过一定值,这种 2s→→4s→p 连续通路是主要过程。对于较短的脉冲,通过 2p 态(2s→2p→4d→f 连续波)的电离逐渐成为主导过程,前提是脉冲强度足以诱发数次拉比翻转。在这里,我们通过观察 AT 双顶体形状的结构变化来追踪这些电离途径的竞争情况。
Competition of multiphoton ionization pathways in lithium
We study the three-photon ionization of atomic lithium by intense, short light pulses, via numerically solving the time-dependent Schrödinger equation. Two-photon Rabi oscillations are induced between the 2s and 4s states, which are damped due to single-photon ionization to the p continuum. Developing a minimal three-level model, we analyze the spectral features of the Autler–Townes (AT) doublet that is formed upon the resonant coupling with the laser pulse. Furthermore, we show that this 2s→→4s→pcontinuum pathway is the dominant process, if the duration of the laser pulse exceeds a certain value. For shorter pulses, ionization through the 2p state (2s→2p→4d→fcontinuum) gradually becomes the dominant process, provided that the pulse is strong enough to induce several Rabi floppings. Here, we trace the competition of these ionization pathways by observing the structural changes in the shape of the AT doublet.
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.