Pub Date : 2024-04-28DOI: 10.1140/epjd/s10053-024-00836-4
Saeideh Kevin, Ali Hamrah Gharamaleki
A vortex beam of light is used to enhance and control the lateral and rotary light drag effects in three-level graphene quantum dots. In this study, by using a vortex beam, two practical parameters are introduced to control the optical properties of the system and consequently enhance both the lateral and rotary light drag effects. These parameters are the orbital angular momentum and the azimuthal phase of the applied controlling vortex beam. By increasing the orbital angular momentum of the vortex beam, the absorption of the probe field decreases, while the lateral and rotary light drag effects increase. Furthermore, we found that the azimuthal phase of the vortex beam has a substantial impact on the optical properties of the probe field. Thus, it can be utilized as an efficient parameter for enhancing and controlling light drag effects.
{"title":"Theoretical investigation of lateral and rotary light drag by a vortex beam in graphene quantum dots","authors":"Saeideh Kevin, Ali Hamrah Gharamaleki","doi":"10.1140/epjd/s10053-024-00836-4","DOIUrl":"10.1140/epjd/s10053-024-00836-4","url":null,"abstract":"<div><p>A vortex beam of light is used to enhance and control the lateral and rotary light drag effects in three-level graphene quantum dots. In this study, by using a vortex beam, two practical parameters are introduced to control the optical properties of the system and consequently enhance both the lateral and rotary light drag effects. These parameters are the orbital angular momentum and the azimuthal phase of the applied controlling vortex beam. By increasing the orbital angular momentum of the vortex beam, the absorption of the probe field decreases, while the lateral and rotary light drag effects increase. Furthermore, we found that the azimuthal phase of the vortex beam has a substantial impact on the optical properties of the probe field. Thus, it can be utilized as an efficient parameter for enhancing and controlling light drag effects.</p><h3>Graphical abstract</h3><div><figure><div><div><picture><source><img></source></picture></div><div><p>Lateral light drag as a function of the medium transverse velocity. As demonstrated, increasing the amount of topological charge (l) and consequently the orbital angular momentum results in enhanced lateral light drag</p></div></div></figure></div></div>","PeriodicalId":789,"journal":{"name":"The European Physical Journal D","volume":"78 4","pages":""},"PeriodicalIF":1.5,"publicationDate":"2024-04-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140809845","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-17DOI: 10.1140/epjd/s10053-024-00837-3
Vladislav E. Chernov, Svatopluk Civiš, Nikolai L. Manakov, Alexander V. Naskidashvili, Alena I. Zetkina, Ekaterina M. Zanozina, Martin Ferus, Petr Kubelík, Oxana V. Zetkina
The quantum defect theory (QDT) has been successfully used to describe processes involving high-excited (Rydberg) states of atoms and molecules with a single valence electron over closed shells. This study proposes a modification of QDT to describe the low-energy excited states of a more complex atom (oxygen) which are responsible for its infrared (IR) spectrum. The radial wavefunctions of low-excited electron states include the quantum defect dependence on energy which is derived from the whole spectral series, in contrast to the highly excited Rydberg levels, whose quantum defects are determined by the individual level energies. Our method was applied to calculate the transition probabilities in the neutral oxygen spectra in discharge plasma measured using high-resolution time-resolved IR Fourier transform spectroscopy. The Boltzmann plots resulting from the experimental spectra prove that the modified QDT approach is an adequate method for calculating atomic dipole transition moments.
{"title":"Modified quantum defect theory: application to analysis of high-resolution Fourier transform spectra of neutral oxygen","authors":"Vladislav E. Chernov, Svatopluk Civiš, Nikolai L. Manakov, Alexander V. Naskidashvili, Alena I. Zetkina, Ekaterina M. Zanozina, Martin Ferus, Petr Kubelík, Oxana V. Zetkina","doi":"10.1140/epjd/s10053-024-00837-3","DOIUrl":"10.1140/epjd/s10053-024-00837-3","url":null,"abstract":"<p>The quantum defect theory (QDT) has been successfully used to describe processes involving high-excited (Rydberg) states of atoms and molecules with a single valence electron over closed shells. This study proposes a modification of QDT to describe the low-energy excited states of a more complex atom (oxygen) which are responsible for its infrared (IR) spectrum. The radial wavefunctions of low-excited electron states include the quantum defect dependence on energy which is derived from the whole spectral series, in contrast to the highly excited Rydberg levels, whose quantum defects are determined by the individual level energies. Our method was applied to calculate the transition probabilities in the neutral oxygen spectra in discharge plasma measured using high-resolution time-resolved IR Fourier transform spectroscopy. The Boltzmann plots resulting from the experimental spectra prove that the modified QDT approach is an adequate method for calculating atomic dipole transition moments.</p>","PeriodicalId":789,"journal":{"name":"The European Physical Journal D","volume":"78 4","pages":""},"PeriodicalIF":1.5,"publicationDate":"2024-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140614227","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-16DOI: 10.1140/epjd/s10053-024-00832-8
Zhiwei Ge, Yu Zhao, Qingtian Meng
{"title":"Publisher Correction: Molecular alignment induced by a collision with the regulation of super-Gaussian laser pulse","authors":"Zhiwei Ge, Yu Zhao, Qingtian Meng","doi":"10.1140/epjd/s10053-024-00832-8","DOIUrl":"10.1140/epjd/s10053-024-00832-8","url":null,"abstract":"","PeriodicalId":789,"journal":{"name":"The European Physical Journal D","volume":"78 4","pages":""},"PeriodicalIF":1.5,"publicationDate":"2024-04-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142412024","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-13DOI: 10.1140/epjd/s10053-024-00839-1
Arpan Chatterjee, Rangeet Bhattacharyya
We revisit the coherent population trapping (CPT) of a three-state system in the presence of environmental fluctuations and strong electromagnetic driving fields. To this end, we use a fluctuation-regulated quantum master equation that considers the drive-induced dissipation (DID) in the system. The DID originates from the combined effect of a driving field and environmental fluctuations. We report that increasing DID shows a narrowing of CPT linewidth and, hence, improved selection of the dark states. As such, the DID enhances the sensitivity of CPT at a driving strength much larger than the system’s relaxation rates. We also discuss the practical implementation of the scheme along with possible applications.
The figure shows the narrowing of CPT responance (narrow dark region) as the environmental fluctuation correlation (tau _c) and hence, the drive-induced dissipation increases.
{"title":"Improved selection of dark states in the presence of drive-induced dissipation","authors":"Arpan Chatterjee, Rangeet Bhattacharyya","doi":"10.1140/epjd/s10053-024-00839-1","DOIUrl":"10.1140/epjd/s10053-024-00839-1","url":null,"abstract":"<p>We revisit the coherent population trapping (CPT) of a three-state system in the presence of environmental fluctuations and strong electromagnetic driving fields. To this end, we use a fluctuation-regulated quantum master equation that considers the drive-induced dissipation (DID) in the system. The DID originates from the combined effect of a driving field and environmental fluctuations. We report that increasing DID shows a narrowing of CPT linewidth and, hence, improved selection of the dark states. As such, the DID enhances the sensitivity of CPT at a driving strength much larger than the system’s relaxation rates. We also discuss the practical implementation of the scheme along with possible applications.</p><p>The figure shows the narrowing of CPT responance (narrow dark region) as the environmental fluctuation correlation <span>(tau _c)</span> and hence, the drive-induced dissipation increases.</p>","PeriodicalId":789,"journal":{"name":"The European Physical Journal D","volume":"78 4","pages":""},"PeriodicalIF":1.5,"publicationDate":"2024-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140596800","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-13DOI: 10.1140/epjd/s10053-024-00834-6
Chetana G. F. Gaonkar, Pallavi P. Gaude, Ananya Das, Ramesh V. Pai
We revisit the Bose–Hubbard model with hard-core three-body attractive interactions in one-dimension using the cluster mean-field theory with the density-matrix renormalization group. Our study focuses on the region of the phase diagram between density one Mott MI(1) and density three Mott MI(3) insulator lobes and studies the pairing of bosons. We calculate the order parameters and condensate factors corresponding to atomic and pair superfluid phases. We find no phase transition directly from MI(1) to MI(3) when the attractive three-body interaction is present. The pair superfluid dominates the region between MI(1) and MI(3) when the hopping parameter is small. As the hopping parameter increases, the model shows a phase transition to the atomic superfluid. However, the paring of bosons persists even in the atomic superfluid phases. We finally obtain the phase diagram and compare it with earlier results.
{"title":"Revisiting pairing of bosons in one-dimensional Bose–Hubbard model with three-body interaction using CMFT+DMRG method","authors":"Chetana G. F. Gaonkar, Pallavi P. Gaude, Ananya Das, Ramesh V. Pai","doi":"10.1140/epjd/s10053-024-00834-6","DOIUrl":"10.1140/epjd/s10053-024-00834-6","url":null,"abstract":"<p>We revisit the Bose–Hubbard model with hard-core three-body attractive interactions in one-dimension using the cluster mean-field theory with the density-matrix renormalization group. Our study focuses on the region of the phase diagram between density one Mott MI(1) and density three Mott MI(3) insulator lobes and studies the pairing of bosons. We calculate the order parameters and condensate factors corresponding to atomic and pair superfluid phases. We find no phase transition directly from MI(1) to MI(3) when the attractive three-body interaction is present. The pair superfluid dominates the region between MI(1) and MI(3) when the hopping parameter is small. As the hopping parameter increases, the model shows a phase transition to the atomic superfluid. However, the paring of bosons persists even in the atomic superfluid phases. We finally obtain the phase diagram and compare it with earlier results.</p>","PeriodicalId":789,"journal":{"name":"The European Physical Journal D","volume":"78 4","pages":""},"PeriodicalIF":1.5,"publicationDate":"2024-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140596798","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-09DOI: 10.1140/epjd/s10053-024-00835-5
Usman Masud, Abdul Razzaq Farooqi, Muhammad Kashif
To help the physicians, intra-cavity absorption spectroscopy is being used to design a highly sensitive biomedical sensor for air coming from the lungs. Using the principles of lasing, two different wavelengths (modes) are used to set up this operation. An analysis of our previous results indicates that an in-depth investigation of the fibre Bragg gratings is mandatory which has been done in this work. As the sensor’s operation relies heavily on these FBGs, we resort to calculate and investigate their Bragg wavelengths in accordance with the respective intrinsic properties and data-sheets. Each FBG has been characterized rigorously under numerous temperature conditions for long periods of time and leads to the design limitations of the Bragg wavelength. Afterwards, an intensive measurement and evaluation of signal-to-noise ratio of both modes with respect to the input parameters of the setup is performed. This excessive investigation leads to an increased value of signal-to-noise ratio of 54.5 dB in comparison to previous work and profound implementation attributes that have been discussed in detail.
{"title":"Investigation of nonlinear optical effects with fibre Bragg gratings and signal-to-noise ratio in the evolution of highly sensitive system","authors":"Usman Masud, Abdul Razzaq Farooqi, Muhammad Kashif","doi":"10.1140/epjd/s10053-024-00835-5","DOIUrl":"10.1140/epjd/s10053-024-00835-5","url":null,"abstract":"<p>To help the physicians, intra-cavity absorption spectroscopy is being used to design a highly sensitive biomedical sensor for air coming from the lungs. Using the principles of lasing, two different wavelengths (modes) are used to set up this operation. An analysis of our previous results indicates that an in-depth investigation of the fibre Bragg gratings is mandatory which has been done in this work. As the sensor’s operation relies heavily on these FBGs, we resort to calculate and investigate their Bragg wavelengths in accordance with the respective intrinsic properties and data-sheets. Each FBG has been characterized rigorously under numerous temperature conditions for long periods of time and leads to the design limitations of the Bragg wavelength. Afterwards, an intensive measurement and evaluation of signal-to-noise ratio of both modes with respect to the input parameters of the setup is performed. This excessive investigation leads to an increased value of signal-to-noise ratio of 54.5 dB in comparison to previous work and profound implementation attributes that have been discussed in detail.</p>","PeriodicalId":789,"journal":{"name":"The European Physical Journal D","volume":"78 4","pages":""},"PeriodicalIF":1.5,"publicationDate":"2024-04-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140596788","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Vibrational energy transfer was a key property of chemical reactions that remains deeply understood. In this work, the detail information of vibrational energy transfer in aniline, N,N-dimethylaniline (DMA) and N,N-diethylaniline (DEA) were studied by femtosecond time-resolved coherent anti-Stokes Raman scattering (CARS) spectroscopy, respectively. Low frequency modes of aniline, DMA and DEA were collectively excited, the beats arising from vibrational couplings among these modes were described. With analysis of vibrational coupling, energy transfer flow from one mode to another was visualized. An investigation into the molecular structure and vibrational couplings can be found that vibrational energy transfer is related to vibrational mode symmetry. In addition, substituent groups play an important role in vibrational coupling and energy transfer of aniline, DMA and DEA. A decrease of the number of substituent vibrational modes involved in coupling and energy transfer efficiency with the increase of the amount of relative molecular mass ratio was found out.
Graphical abstract
振动能量转移是化学反应的一个关键特性,但人们对这一特性的理解仍然很深。本研究利用飞秒时间分辨相干反斯托克斯拉曼散射(CARS)光谱分别研究了苯胺、N,N-二甲基苯胺(DMA)和N,N-二乙基苯胺(DEA)中振动能量传递的详细信息。对苯胺、DMA 和 DEA 的低频模式进行了集体激发,并描述了这些模式之间振动耦合产生的节拍。通过分析振动耦合,可以直观地看到能量从一个模式传递到另一个模式。通过对分子结构和振动耦合的研究可以发现,振动能量的传递与振动模式的对称性有关。此外,取代基团在苯胺、DMA 和 DEA 的振动耦合和能量传递中起着重要作用。研究发现,随着相对分子质量比的增加,参与耦合和能量传递效率的取代基振动模式数量减少。
{"title":"Studying substituent number effects on vibrational energy transfer by time−resolved CARS spectroscopy","authors":"Xiaosong Liu, Qingxiao Zou, Hui Li, Weilong Liu, Feng Hu, Yanqiang Yang","doi":"10.1140/epjd/s10053-024-00830-w","DOIUrl":"10.1140/epjd/s10053-024-00830-w","url":null,"abstract":"<div><p>Vibrational energy transfer was a key property of chemical reactions that remains deeply understood. In this work, the detail information of vibrational energy transfer in aniline, N,N-dimethylaniline (DMA) and N,N-diethylaniline (DEA) were studied by femtosecond time-resolved coherent anti-Stokes Raman scattering (CARS) spectroscopy, respectively. Low frequency modes of aniline, DMA and DEA were collectively excited, the beats arising from vibrational couplings among these modes were described. With analysis of vibrational coupling, energy transfer flow from one mode to another was visualized. An investigation into the molecular structure and vibrational couplings can be found that vibrational energy transfer is related to vibrational mode symmetry. In addition, substituent groups play an important role in vibrational coupling and energy transfer of aniline, DMA and DEA. A decrease of the number of substituent vibrational modes involved in coupling and energy transfer efficiency with the increase of the amount of relative molecular mass ratio was found out.</p><h3>Graphical abstract</h3><div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":789,"journal":{"name":"The European Physical Journal D","volume":"78 4","pages":""},"PeriodicalIF":1.5,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140596660","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-04DOI: 10.1140/epjd/s10053-024-00831-9
Rajnandan Choudhury Das, Samir Khan, Thilagaraj Ravi, Kanhaiya Pandey
The 5S(rightarrow )6P transition in rubidium (Rb) at 420 nm offers the advantage of narrow linewidth and diverse applications in quantum technologies. However, the direct spectroscopy at this transition is challenging due to its weak transition strength. In this paper, we have discussed the saturated absorption spectroscopy (SAS) of Rb using the narrow-line transition at 420 nm. We have studied the effect of the temperature of the Rb cell, control beam power, and beam size on the SAS dip heights and their linewidths. Additionally, our study offers a comprehensive examination, encompassing all eight error signals of Rb for the 5 S(rightarrow )6P transition at 420 nm and 421 nm. These findings contribute valuable insights to the field of laser frequency stabilization of Rb at blue transition and can be useful in quantum technologies based on this transition.
Direct spectroscopy of Rubidium at blue transition.
{"title":"Direct spectroscopy of Rubidium using a narrow-line transition at 420 nm","authors":"Rajnandan Choudhury Das, Samir Khan, Thilagaraj Ravi, Kanhaiya Pandey","doi":"10.1140/epjd/s10053-024-00831-9","DOIUrl":"10.1140/epjd/s10053-024-00831-9","url":null,"abstract":"<p>The 5S<span>(rightarrow )</span>6P transition in rubidium (Rb) at 420 nm offers the advantage of narrow linewidth and diverse applications in quantum technologies. However, the direct spectroscopy at this transition is challenging due to its weak transition strength. In this paper, we have discussed the saturated absorption spectroscopy (SAS) of Rb using the narrow-line transition at 420 nm. We have studied the effect of the temperature of the Rb cell, control beam power, and beam size on the SAS dip heights and their linewidths. Additionally, our study offers a comprehensive examination, encompassing all eight error signals of Rb for the 5 S<span>(rightarrow )</span>6P transition at 420 nm and 421 nm. These findings contribute valuable insights to the field of laser frequency stabilization of Rb at blue transition and can be useful in quantum technologies based on this transition.</p><p>Direct spectroscopy of Rubidium at blue transition.</p>","PeriodicalId":789,"journal":{"name":"The European Physical Journal D","volume":"78 4","pages":""},"PeriodicalIF":1.5,"publicationDate":"2024-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140596917","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-04DOI: 10.1140/epjd/s10053-024-00829-3
Johannes Fiedler, Bodil Holst
Atom and, of late, molecule interferometers find application in both the crucible of fundamental research and industrial pursuits. A prevalent methodology in the construction of atom interferometers involves the utilisation of gratings fashioned from laser beams. While this approach imparts commendable precision, it is hampered by its incapacity to attain exceedingly short wavelengths and its dependence on intricate laser systems for operational efficacy. All applications require the control of matter waves, particularly the particle’s velocity. In this manuscript, we propose a continuous beam monochromator scheme reaching enormously high velocity purification with speed ratios in the order of (10^3) based on atom-surface diffraction. Beyond these high purifications, the proposed scheme simplifies the application by reducing the degree of freedom to a single angle, selecting the wanted particle’s velocity.
{"title":"A continuous beam monochromator for matter waves","authors":"Johannes Fiedler, Bodil Holst","doi":"10.1140/epjd/s10053-024-00829-3","DOIUrl":"10.1140/epjd/s10053-024-00829-3","url":null,"abstract":"<p>Atom and, of late, molecule interferometers find application in both the crucible of fundamental research and industrial pursuits. A prevalent methodology in the construction of atom interferometers involves the utilisation of gratings fashioned from laser beams. While this approach imparts commendable precision, it is hampered by its incapacity to attain exceedingly short wavelengths and its dependence on intricate laser systems for operational efficacy. All applications require the control of matter waves, particularly the particle’s velocity. In this manuscript, we propose a continuous beam monochromator scheme reaching enormously high velocity purification with speed ratios in the order of <span>(10^3)</span> based on atom-surface diffraction. Beyond these high purifications, the proposed scheme simplifies the application by reducing the degree of freedom to a single angle, selecting the wanted particle’s velocity.</p>","PeriodicalId":789,"journal":{"name":"The European Physical Journal D","volume":"78 4","pages":""},"PeriodicalIF":1.5,"publicationDate":"2024-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjd/s10053-024-00829-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140596773","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-04-03DOI: 10.1140/epjd/s10053-024-00828-4
Peter Uylings, Ton Raassen
Orthogonal operators are a next step in the semi-empirical description of complex spectra. Orthogonality yields optimal independence and thus least correlation between the operators. The increased stability of the fitting process is used to include higher-order many-body as well as fully relativistic effects. The calculated eigenvalues are frequently an order of magnitude more accurate with respect to a conventional semi-empirical approach. The resulting eigenvectors may not only be put to use to calculate transition probabilities and g-factors, but also to calculate hyperfine structure A and B constants. We illustrate our first steps in this field with two examples of first spectra of the iron group elements. The results are compared to current experimental hyperfine structure A-values while strong and weak points of the method are discussed. In particular to be able to deal with lanthanides and actinides, the orthogonal operator method is completed with the definition of operators for equivalent p- and f-electrons.
摘要 正交算子是复杂光谱半经验描述的下一步。正交性产生了最佳的独立性,从而使算子之间的相关性最小。拟合过程稳定性的提高可用于包含高阶多体效应和完全相对论效应。与传统的半经验方法相比,计算出的特征值通常要精确一个数量级。由此得到的特征向量不仅可以用来计算转变概率和 g 因子,还可以用来计算超细结构 A 常量和 B 常量。我们以两个铁族元素的第一光谱为例,说明我们在这一领域迈出的第一步。我们将结果与当前的实验超正弦结构 A 值进行了比较,同时讨论了该方法的强项和弱项。特别是为了能够处理镧系元素和锕系元素,通过定义等效 p 电子和 f 电子的算子完成了正交算子方法。 图形摘要
{"title":"Orthogonal operators: extension to hyperfine structure and equivalent p- and f-electrons","authors":"Peter Uylings, Ton Raassen","doi":"10.1140/epjd/s10053-024-00828-4","DOIUrl":"10.1140/epjd/s10053-024-00828-4","url":null,"abstract":"<p>Orthogonal operators are a next step in the semi-empirical description of complex spectra. Orthogonality yields optimal independence and thus least correlation between the operators. The increased stability of the fitting process is used to include higher-order many-body as well as fully relativistic effects. The calculated eigenvalues are frequently an order of magnitude more accurate with respect to a conventional semi-empirical approach. The resulting eigenvectors may not only be put to use to calculate transition probabilities and g-factors, but also to calculate hyperfine structure A and B constants. We illustrate our first steps in this field with two examples of first spectra of the iron group elements. The results are compared to current experimental hyperfine structure A-values while strong and weak points of the method are discussed. In particular to be able to deal with lanthanides and actinides, the orthogonal operator method is completed with the definition of operators for equivalent <i>p</i>- and <i>f</i>-electrons.</p>","PeriodicalId":789,"journal":{"name":"The European Physical Journal D","volume":"78 4","pages":""},"PeriodicalIF":1.5,"publicationDate":"2024-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140596805","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}