Pub Date : 2024-08-18DOI: 10.1140/epjd/s10053-024-00896-6
Qing-hong Liao, Chen-ting Deng, Hai-yan Qiu
We theoretically explore the absorption spectra and Kerr effect of a phonon-spin-magnon hybrid system, in which the nitrogen-vacancy (NV) center is coupled with a yttrium iron garnet (YIG) crystal and a mechanical resonator simultaneously. The results indicate that vacuum Rabi splitting can occur in the absorption spectrum by modulating the coupling strength between the YIG sphere and the NV center. We show the vacuum Rabi splitting and the transparency based on mechanically induced coherent population oscillation (MICPO) to be adjusted by the decay rate of the YIG sphere and the mechanical resonator, respectively. Moreover, it is indicated the absorption spectra can be flexibly tuned by changing the frequency tuning of the spin-pump field. Furthermore, the nonlinear Kerr effect is controllable via varying the Rabi frequency. The study could provide a way for general applications in quantum computing devices and quantum information processing.
{"title":"Probe absorption characteristics and Kerr effect of a hybrid phonon-spin-magnon system","authors":"Qing-hong Liao, Chen-ting Deng, Hai-yan Qiu","doi":"10.1140/epjd/s10053-024-00896-6","DOIUrl":"10.1140/epjd/s10053-024-00896-6","url":null,"abstract":"<div><p>We theoretically explore the absorption spectra and Kerr effect of a phonon-spin-magnon hybrid system, in which the nitrogen-vacancy (NV) center is coupled with a yttrium iron garnet (YIG) crystal and a mechanical resonator simultaneously. The results indicate that vacuum Rabi splitting can occur in the absorption spectrum by modulating the coupling strength between the YIG sphere and the NV center. We show the vacuum Rabi splitting and the transparency based on mechanically induced coherent population oscillation (MICPO) to be adjusted by the decay rate of the YIG sphere and the mechanical resonator, respectively. Moreover, it is indicated the absorption spectra can be flexibly tuned by changing the frequency tuning of the spin-pump field. Furthermore, the nonlinear Kerr effect is controllable via varying the Rabi frequency. The study could provide a way for general applications in quantum computing devices and quantum information processing.</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 8","pages":""},"PeriodicalIF":1.5,"publicationDate":"2024-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142196123","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 : 2024-08-14DOI: 10.1140/epjd/s10053-024-00900-z
A. T. Bondy, J. C. del Valle, S. Saha, K. R. Hamilton, D. Bharti, A. Harth, K. Bartschat
Following up on a recent paper (Bharti et al. in Phys Rev A 109:023110, 2024), we compare the predictions from several R-matrix with time-dependence calculations for a modified three-sideband version of the “reconstruction of attosecond beating by interference of two-photon transitions” (RABBITT) configuration applied to helium. Except for the special case of the threshold sideband, which appears to be very sensitive to the details of coupling to the bound Rydberg states, increasing the number of coupled states in the close-coupling expansion used to describe the ejected-electron–residual-ion interaction hardly changes the results. Consequently, the remaining discrepancies between the experimental data and the theoretical predictions are likely due to uncertainties in the experimental parameters, particularly the detailed knowledge of the laser pulse.
摘要继最近的一篇论文(Bharti 等人,Phys Rev A 109:023110, 2024)之后,我们比较了几种 R 矩阵的预测结果,以及应用于氦的 "双光子跃迁干涉重建阿秒跳动"(RABBITT)配置的修正三边带版本的时间相关性计算结果。除了阈值边带的特殊情况外(阈值边带似乎对与束缚雷德贝格态耦合的细节非常敏感),在用于描述射出电子-残余离子相互作用的紧密耦合扩展中,增加耦合态的数量几乎不会改变结果。因此,实验数据与理论预测之间的其余差异很可能是由于实验参数的不确定性造成的,特别是对激光脉冲的详细了解。
{"title":"R-matrix with time-dependence calculations for three-sideband RABBITT in helium","authors":"A. T. Bondy, J. C. del Valle, S. Saha, K. R. Hamilton, D. Bharti, A. Harth, K. Bartschat","doi":"10.1140/epjd/s10053-024-00900-z","DOIUrl":"10.1140/epjd/s10053-024-00900-z","url":null,"abstract":"<p>Following up on a recent paper (Bharti et al. in Phys Rev A 109:023110, 2024), we compare the predictions from several <i>R</i>-matrix with time-dependence calculations for a modified three-sideband version of the “reconstruction of attosecond beating by interference of two-photon transitions” (RABBITT) configuration applied to helium. Except for the special case of the threshold sideband, which appears to be very sensitive to the details of coupling to the bound Rydberg states, increasing the number of coupled states in the close-coupling expansion used to describe the ejected-electron–residual-ion interaction hardly changes the results. Consequently, the remaining discrepancies between the experimental data and the theoretical predictions are likely due to uncertainties in the experimental parameters, particularly the detailed knowledge of the laser pulse.</p>","PeriodicalId":789,"journal":{"name":"The European Physical Journal D","volume":"78 8","pages":""},"PeriodicalIF":1.5,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142196121","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 : 2024-08-13DOI: 10.1140/epjd/s10053-024-00897-5
Jérôme Deprince, Helena Carvajal Gallego, Sirine Ben Nasr, Lucas Maison, Jean-Christophe Pain, Patrick Palmeri, Pascal Quinet
This study is an overview of the atomic data and opacity computations performed by the Atomic Physics and Astrophysics Unit of Mons University in the context of kilonova emission following neutron star mergers, in both the photospheric and nebular phases. In this work, as a sample case, we focus on a specific lanthanide ion, namely Er III. As far as the LTE photospheric phase of the kilonova ejecta is concerned, we present our calculations using both a theoretical method (the pseudo-relativistic Hartree-Fock method, HFR) and a statistical approach (the Resolved Transition Array approach, RTA) to obtain the atomic data required to estimate the Er III expansion opacity for typical conditions expected in kilonova ejecta one day after the merger. In order to draw the limitations of both of our strategies, the results obtained using the latter are compared, and a calibration procedure of the HFR atomic data in this context is also discussed. Concerning the kilonova ejecta nebular phase, atomic parameters that characterize forbidden lines in Er III are calculated using HFR as well as another computational approach, namely the Multiconfiguration Dirac–Hartree–Fock (MCDHF) method. The potential detection of such lines in late-phase kilonova spectra is then discussed.
摘要 本研究综述了蒙斯大学原子物理学和天体物理学研究组在中子星合并后的千新星发射背景下,在光球和星云阶段所进行的原子数据和不透明度计算。在这项研究中,我们以一种特定的镧系离子(即 Er III)为样本。就千新星喷出物的LTE光球阶段而言,我们使用理论方法(伪相对论哈特里-福克方法,HFR)和统计方法(分辨转换阵列方法,RTA)进行了计算,以获得所需的原子数据,从而估算出合并后一天的千新星喷出物在典型条件下的Er III膨胀不透明度。为了说明我们这两种方法的局限性,对使用后者得到的结果进行了比较,并讨论了在这种情况下对高频原子数据的校准程序。关于千新星喷出星云阶段,使用氢FR和另一种计算方法,即多配置狄拉克-哈特里-福克(MCDHF)方法,计算了表征 Er III 中禁止线的原子参数。然后讨论了在晚期千新星光谱中探测到这些线的可能性。
{"title":"Radiative and opacity data obtained from large-scale atomic structure calculations and from statistical simulations for the spectral analysis of kilonovae in their photospheric and nebular phases: the sample case of Er III","authors":"Jérôme Deprince, Helena Carvajal Gallego, Sirine Ben Nasr, Lucas Maison, Jean-Christophe Pain, Patrick Palmeri, Pascal Quinet","doi":"10.1140/epjd/s10053-024-00897-5","DOIUrl":"10.1140/epjd/s10053-024-00897-5","url":null,"abstract":"<p>This study is an overview of the atomic data and opacity computations performed by the Atomic Physics and Astrophysics Unit of Mons University in the context of kilonova emission following neutron star mergers, in both the photospheric and nebular phases. In this work, as a sample case, we focus on a specific lanthanide ion, namely Er III. As far as the LTE photospheric phase of the kilonova ejecta is concerned, we present our calculations using both a theoretical method (the pseudo-relativistic Hartree-Fock method, <span>HFR</span>) and a statistical approach (the Resolved Transition Array approach, RTA) to obtain the atomic data required to estimate the Er III expansion opacity for typical conditions expected in kilonova ejecta one day after the merger. In order to draw the limitations of both of our strategies, the results obtained using the latter are compared, and a calibration procedure of the <span>HFR</span> atomic data in this context is also discussed. Concerning the kilonova ejecta nebular phase, atomic parameters that characterize forbidden lines in Er III are calculated using <span>HFR</span> as well as another computational approach, namely the Multiconfiguration Dirac–Hartree–Fock (<span>MCDHF</span>) method. The potential detection of such lines in late-phase kilonova spectra is then discussed.</p>","PeriodicalId":789,"journal":{"name":"The European Physical Journal D","volume":"78 8","pages":""},"PeriodicalIF":1.5,"publicationDate":"2024-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142196126","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 : 2024-08-13DOI: 10.1140/epjd/s10053-024-00895-7
Sophie Kröger
<p>A Fourier-transform recording of protactinium in the infrared range is reanalysed with high precision in order to determine the hyperfine interaction constants <i>A</i> and <i>B</i>. Starting with a selection of best lines and least-squares fits of hyperfine structure intervals, large systems of linear equations compare experimental hyperfine peak wavenumbers with a theoretical representation. The theoretical representation is based on Ritz’s combination principle and Casimir’s formula according to the existing classification. Weighted least-squares fits allow a discrimination between unperturbed and perturbed data such as blended hyperfine structure components. For the first time, the wavenumbers of the hyperfine components of more than 600 lines are fitted using the characteristics of about 250 levels as parameters. When adding adjustable wavenumber-scale correction parameters, global consistency for the whole IR spectrum is obtained with local limits of about <span>(0.3,times 10^{-3})</span> cm<span>(^{-1})</span>. This demonstrates the high precision in both recording and analysis. The values of the fine structure energies are revised. Standard errors around 0.1 <span>(times 10^{-3})</span> cm<span>(^{-1})</span> for the <i>A</i> constants and 10<span>(^{-3})</span> cm<span>(^{-1})</span> for the <i>B</i> constants and the fine structure energies are achieved. Representative examples illustrate extensive results obtained for atomic protactinium. This high precision facilitates further search for new energy levels, and 20 new levels were presented. <b>Foreword</b> The data presented here are the results of a study carried out at the Laboratoire Aimé Cotton (LAC) at Paris-Orsay in the years 2003 and 2004, when I was there for a research stay. At this time, I worked together with Jean-François Wyart and Annie Ginibre on the re-examination of protactinium spectra that have been measured about 30 years earlier and that were available in the form of a printed list of peak wavenumbers and a printed paper chart of the intensity profile. The spectra had already been analysed, but there was still a lot of additional information that could be extracted from the spectra with time and effort. The review of the data, the selection of the data and the step-by-step optimization of the data set took a lot of time. When I returned to Berlin in 2004, we had made good progress, but in principle, it is like a bottomless pit. We continued together to optimize the data and tried to the finishing touches to it. At some point, we decided that we had reached a ‘level of maturity’ where the data could be published. We have discussed a lot about how detailed the text should be. This discussion has dragged on over the years and this project has repeatedly been lost in the stream of other everyday tasks. Every now and then there was a small attempt to return to this topic, but it quickly got lost in the daily hustle and bustle. In 2012, we presented the results at a co
{"title":"High precision in a Fourier-transform spectrum of protactinium: extensive weighted least-squares fits of peak wavenumbers for analysis of fine and hyperfine structure","authors":"Sophie Kröger","doi":"10.1140/epjd/s10053-024-00895-7","DOIUrl":"10.1140/epjd/s10053-024-00895-7","url":null,"abstract":"<p>A Fourier-transform recording of protactinium in the infrared range is reanalysed with high precision in order to determine the hyperfine interaction constants <i>A</i> and <i>B</i>. Starting with a selection of best lines and least-squares fits of hyperfine structure intervals, large systems of linear equations compare experimental hyperfine peak wavenumbers with a theoretical representation. The theoretical representation is based on Ritz’s combination principle and Casimir’s formula according to the existing classification. Weighted least-squares fits allow a discrimination between unperturbed and perturbed data such as blended hyperfine structure components. For the first time, the wavenumbers of the hyperfine components of more than 600 lines are fitted using the characteristics of about 250 levels as parameters. When adding adjustable wavenumber-scale correction parameters, global consistency for the whole IR spectrum is obtained with local limits of about <span>(0.3,times 10^{-3})</span> cm<span>(^{-1})</span>. This demonstrates the high precision in both recording and analysis. The values of the fine structure energies are revised. Standard errors around 0.1 <span>(times 10^{-3})</span> cm<span>(^{-1})</span> for the <i>A</i> constants and 10<span>(^{-3})</span> cm<span>(^{-1})</span> for the <i>B</i> constants and the fine structure energies are achieved. Representative examples illustrate extensive results obtained for atomic protactinium. This high precision facilitates further search for new energy levels, and 20 new levels were presented. <b>Foreword</b> The data presented here are the results of a study carried out at the Laboratoire Aimé Cotton (LAC) at Paris-Orsay in the years 2003 and 2004, when I was there for a research stay. At this time, I worked together with Jean-François Wyart and Annie Ginibre on the re-examination of protactinium spectra that have been measured about 30 years earlier and that were available in the form of a printed list of peak wavenumbers and a printed paper chart of the intensity profile. The spectra had already been analysed, but there was still a lot of additional information that could be extracted from the spectra with time and effort. The review of the data, the selection of the data and the step-by-step optimization of the data set took a lot of time. When I returned to Berlin in 2004, we had made good progress, but in principle, it is like a bottomless pit. We continued together to optimize the data and tried to the finishing touches to it. At some point, we decided that we had reached a ‘level of maturity’ where the data could be published. We have discussed a lot about how detailed the text should be. This discussion has dragged on over the years and this project has repeatedly been lost in the stream of other everyday tasks. Every now and then there was a small attempt to return to this topic, but it quickly got lost in the daily hustle and bustle. In 2012, we presented the results at a co","PeriodicalId":789,"journal":{"name":"The European Physical Journal D","volume":"78 8","pages":""},"PeriodicalIF":1.5,"publicationDate":"2024-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjd/s10053-024-00895-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142196125","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 : 2024-08-13DOI: 10.1140/epjd/s10053-024-00890-y
J. Aygun, C. G. Buitrago, M. F. Ciappina, A. L. Harris
High-order harmonic generation (HHG) has become an indispensable process for generating attosecond pulse trains and single attosecond pulses used in the observation of nuclear and electronic motion. As such, improved control of the HHG process is desirable, and one such possibility for this control is through the use of structured laser pulses. We present numerical results from solving the one-dimensional time-dependent Schrödinger equation for HHG from hydrogen using Airy and Gaussian pulses that differ only in their spectral phase. Airy pulses have identical power spectra to Gaussian pulses, but different spectral phases and temporal envelopes. We show that the use of Airy pulses results in less ground state depletion compared to the Gaussian pulse, while maintaining harmonic yield and cutoff. Our results demonstrate that Airy pulses with higher intensity can produce similar HHG spectra to lower intensity Gaussian pulses without depleting the ground state. The different temporal envelopes of the Gaussian and Airy pulses lead to changes in the dynamics of the HHG process, altering the time-dependence of the ground state population and the emission times of the high harmonics.
{"title":"Spectral phase pulse shaping reduces ground state depletion in high-order harmonic generation","authors":"J. Aygun, C. G. Buitrago, M. F. Ciappina, A. L. Harris","doi":"10.1140/epjd/s10053-024-00890-y","DOIUrl":"10.1140/epjd/s10053-024-00890-y","url":null,"abstract":"<div><p>High-order harmonic generation (HHG) has become an indispensable process for generating attosecond pulse trains and single attosecond pulses used in the observation of nuclear and electronic motion. As such, improved control of the HHG process is desirable, and one such possibility for this control is through the use of structured laser pulses. We present numerical results from solving the one-dimensional time-dependent Schrödinger equation for HHG from hydrogen using Airy and Gaussian pulses that differ only in their spectral phase. Airy pulses have identical power spectra to Gaussian pulses, but different spectral phases and temporal envelopes. We show that the use of Airy pulses results in less ground state depletion compared to the Gaussian pulse, while maintaining harmonic yield and cutoff. Our results demonstrate that Airy pulses with higher intensity can produce similar HHG spectra to lower intensity Gaussian pulses without depleting the ground state. The different temporal envelopes of the Gaussian and Airy pulses lead to changes in the dynamics of the HHG process, altering the time-dependence of the ground state population and the emission times of the high harmonics.</p><h3>Graphical abstract</h3><div><figure><div><div><picture><source><img></source></picture></div><div><p>High-order harmonic generation (HHG) using an Airy pulse with a third order spectral phase results in less ground state depletion, but similar harmonic yield, compared to a Gaussian pulse. Top – schematic depiction of the 3-step HHG process for different intensity pulses. Bottom left – time-dependent ground state populations for Gaussian pulses showing that a more intense pulse causes more ground state depletion. Bottom middle – final ground state populations for Airy and Gaussian pulses as a function of intensity showing that Airy pulses result in less ground state depletion for a given intensity. Bottom right – HHG spectra for a more intense Airy pulse and a less intense Gaussian pulse exhibit similar shapes, magnitudes, and plateau cutoff values</p></div></div></figure></div></div>","PeriodicalId":789,"journal":{"name":"The European Physical Journal D","volume":"78 8","pages":""},"PeriodicalIF":1.5,"publicationDate":"2024-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjd/s10053-024-00890-y.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142196122","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 : 2024-08-10DOI: 10.1140/epjd/s10053-024-00901-y
Min Han, Xiaoqin Bai, Rongcao Yang
The dynamics of hyperbolic secant beams under the competition between the fractional diffraction and rectangular potential is investigated. It is found that the beams can exhibit the reflection, tunneling and interference, forming the bound states, optical lattices or fringes, or solitons under different conditions. In linear regime, when the potential is wide, the beam exhibits the total reflection for deeper potential and smaller incident angle, and presents the reflection and tunneling for shallower potential and larger incident angle. The irregular interference pattern and bound states are generated for the narrow potential. Moreover, the initial chirp causes the appearance of side lobes during beam propagation. When two hyperbolic secant beams are symmetrically incident from inside or outside the potential, the interference lattices or interference fringes are generated inside the potential, which are related to the Lévy index, initial chirp and incident angle of the beams. In nonlinear regime, the hyperbolic secant beam undergoes the collapse, splitting or formation of the periodic-like soliton by selecting appropriate parameters including the Lévy index, initial chirp and incident angle. In addition, the dynamics of two hyperbolic secant beams under the interaction of the nonlinear effect and fractional diffraction is also investigated in detail. This work provides more possibilities for optical lattice generation and optical manipulation.
{"title":"Interference and tunneling of beams in fractional systems with rectangular potential","authors":"Min Han, Xiaoqin Bai, Rongcao Yang","doi":"10.1140/epjd/s10053-024-00901-y","DOIUrl":"10.1140/epjd/s10053-024-00901-y","url":null,"abstract":"<div><p>The dynamics of hyperbolic secant beams under the competition between the fractional diffraction and rectangular potential is investigated. It is found that the beams can exhibit the reflection, tunneling and interference, forming the bound states, optical lattices or fringes, or solitons under different conditions. In linear regime, when the potential is wide, the beam exhibits the total reflection for deeper potential and smaller incident angle, and presents the reflection and tunneling for shallower potential and larger incident angle. The irregular interference pattern and bound states are generated for the narrow potential. Moreover, the initial chirp causes the appearance of side lobes during beam propagation. When two hyperbolic secant beams are symmetrically incident from inside or outside the potential, the interference lattices or interference fringes are generated inside the potential, which are related to the Lévy index, initial chirp and incident angle of the beams. In nonlinear regime, the hyperbolic secant beam undergoes the collapse, splitting or formation of the periodic-like soliton by selecting appropriate parameters including the Lévy index, initial chirp and incident angle. In addition, the dynamics of two hyperbolic secant beams under the interaction of the nonlinear effect and fractional diffraction is also investigated in detail. This work provides more possibilities for optical lattice generation and optical manipulation.</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 8","pages":""},"PeriodicalIF":1.5,"publicationDate":"2024-08-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141935821","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 : 2024-07-31DOI: 10.1140/epjd/s10053-024-00898-4
Da-Liu Zheng, Jun-Fang Wu, Chao Li
Most of the previously proposed methods for nonreciprocal light transmission are based on the unequal couplings of the nanocavity with the input waveguide and the output waveguide, which will inevitably affect the contrast ratio and working bandwidth. Here, we present a simple approach just via the side coupling between one nonlinear resonator and a coupling-tunable waveguide, demonstrating that a high transmission contrast, broad operation bandwidth, and controllable nonreciprocal light transmission can be realized even though the coupling is symmetric. The underlying physics is revealed. This approach may open a way for the study of on-chip optical information processing and quantum computing.