Pub Date : 2024-10-19DOI: 10.1140/epjd/s10053-024-00920-9
D. Agačević, N. Ibrišimović, D. Škrgić, D. B. Milošević
We investigate how the above-threshold ionization by an intense circularly polarized infrared laser pulse is modified in the presence of a strong circularly polarized terahertz pulse. It is shown that both the differential ionization probability and the maximum photoelectron kinetic energy can be increased or decreased by an order of magnitude by changing the time delay between the laser and terahertz pulses. The results obtained by numerical integration agree well with those obtained using the modified saddle-point method. The used laser and terahertz pulse parameters are readily available at the modern experimental facilities.
{"title":"Above-threshold ionization by a strong circularly polarized laser pulse assisted by a terahertz pulse","authors":"D. Agačević, N. Ibrišimović, D. Škrgić, D. B. Milošević","doi":"10.1140/epjd/s10053-024-00920-9","DOIUrl":"10.1140/epjd/s10053-024-00920-9","url":null,"abstract":"<p>We investigate how the above-threshold ionization by an intense circularly polarized infrared laser pulse is modified in the presence of a strong circularly polarized terahertz pulse. It is shown that both the differential ionization probability and the maximum photoelectron kinetic energy can be increased or decreased by an order of magnitude by changing the time delay between the laser and terahertz pulses. The results obtained by numerical integration agree well with those obtained using the modified saddle-point method. The used laser and terahertz pulse parameters are readily available at the modern experimental facilities.</p>","PeriodicalId":789,"journal":{"name":"The European Physical Journal D","volume":"78 10","pages":""},"PeriodicalIF":1.5,"publicationDate":"2024-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142451050","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 : 2024-10-18DOI: 10.1140/epjd/s10053-024-00918-3
Rabeet Singh, Arup Banerjee
In this article, we propose an alternate approach to study confined two-electron systems using the modified form of the Le Sech wavefunction. In the present approach, rather than using the cut-off factor in the variational wavefunction, we determine it directly by solving Schrödinger like equation. The results for kinetic energies, electron-nucleus interaction, electron–electron interaction, total energies, densities, ionization energies, and moments of confined (hbox {H}^-) and He atom are compared with the most accurate values found in the literature to show the effectiveness of our method. The present approach applies to a wide range of confinement potentials. We demonstrate it by showing the results for Coulomb, harmonic oscillator, and soft-confinement potentials.
在本文中,我们提出了另一种利用勒塞赫波函数的修正形式来研究约束双电子系统的方法。在本方法中,我们不使用变异波函数中的截止因子,而是直接通过求解薛定谔方程来确定截止因子。与文献中发现的最精确值相比,我们得出了约束(hbox {H}^-)和 He 原子的动能、电子-核相互作用、电子-电子相互作用、总能、密度、电离能和动量的结果,从而显示了我们方法的有效性。本方法适用于广泛的约束势。我们展示了库仑势、谐振子势和软约束势的结果。
{"title":"Modified Le Sech wavefunction for investigating confined two-electron atomic systems","authors":"Rabeet Singh, Arup Banerjee","doi":"10.1140/epjd/s10053-024-00918-3","DOIUrl":"10.1140/epjd/s10053-024-00918-3","url":null,"abstract":"<p>In this article, we propose an alternate approach to study confined two-electron systems using the modified form of the Le Sech wavefunction. In the present approach, rather than using the cut-off factor in the variational wavefunction, we determine it directly by solving Schrödinger like equation. The results for kinetic energies, electron-nucleus interaction, electron–electron interaction, total energies, densities, ionization energies, and moments of confined <span>(hbox {H}^-)</span> and He atom are compared with the most accurate values found in the literature to show the effectiveness of our method. The present approach applies to a wide range of confinement potentials. We demonstrate it by showing the results for Coulomb, harmonic oscillator, and soft-confinement potentials.</p>","PeriodicalId":789,"journal":{"name":"The European Physical Journal D","volume":"78 10","pages":""},"PeriodicalIF":1.5,"publicationDate":"2024-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142447320","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 : 2024-10-17DOI: 10.1140/epjd/s10053-024-00904-9
M. F. Rojas, M. A. Quinto, R. D. Rivarola, J. M. Monti
In the present work, we address the problem of single ionisation in ion molecule collisions by implementing the dynamic charge continuum distorted wave—eikonal initial state model. A dynamic charge that depends simultaneously on both the emission angle and the emission energy is used to approximate the non-Coulomb potential of the residual molecular target. The molecular ground state is described employing a complete neglected of differential overlap approximation. The results in terms of total, single, and doubly differential cross sections are calculated and compared with available experimental data. Also, the contribution of each molecular orbital to the total cross section has been considered.
{"title":"Dynamic effective charge in the continuum final state in the CDW-EIS model: ionisation of molecules by bare-ion impact","authors":"M. F. Rojas, M. A. Quinto, R. D. Rivarola, J. M. Monti","doi":"10.1140/epjd/s10053-024-00904-9","DOIUrl":"10.1140/epjd/s10053-024-00904-9","url":null,"abstract":"<p>In the present work, we address the problem of single ionisation in ion molecule collisions by implementing the dynamic charge continuum distorted wave—eikonal initial state model. A dynamic charge that depends simultaneously on both the emission angle and the emission energy is used to approximate the non-Coulomb potential of the residual molecular target. The molecular ground state is described employing a complete neglected of differential overlap approximation. The results in terms of total, single, and doubly differential cross sections are calculated and compared with available experimental data. Also, the contribution of each molecular orbital to the total cross section has been considered.\u0000</p>","PeriodicalId":789,"journal":{"name":"The European Physical Journal D","volume":"78 10","pages":""},"PeriodicalIF":1.5,"publicationDate":"2024-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142447361","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 : 2024-10-15DOI: 10.1140/epjd/s10053-024-00917-4
Giorgio Turri, Paola Bolognesi, Lorenzo Avaldi
The Triple-Differential Cross Section (TDCS) for the Photo Double-Ionization of carbon dioxide molecule to the CO22+ X3 Σg− ground state has been measured at 20 eV excess energy. In the experiment the coincidence angular distributions of the two photoelectrons, where the direction of one photoelectron has been fixed at 0, 30 and 60° with respect to the direction of the polarization of the incident radiation, have been measured for a condition where the two photoelectrons equally share the excess energy. Care has been taken to perform the measurements with an energy resolution which enabled to isolate the TDCS of the X3Σ−g ground state of the dication. An appreciable contribution to TDCS at a relative angle θ12 = 180° has been observed and attributed to a favorite symmetry of the wavefunction of the two ejected electrons.
Graphical abstract
TDCS of CO2 measures at photon energy 57.7eV, θ1=0, 30 and 60° and equal energy sharing of 10 eV are reported as black dots. Panels (a) and (c) report the TDCS as calculated by Alwan et al. (J Phys B: At Mol Opt Phys 48:185203, 2015) using the charge in the Sommerfeld parameters for the oxygen atom of 0.2 (black full curve) and 0.8 (ref full curve). The blue full curve in panels (d)-(f) is the fit to the experiments with the helium=like model by Reddsih and Feaging (J Phys B: At Mol Opt Phys 32:2473, 1999).
{"title":"Photo double-ionization of CO2 studied by photoelectron-photoelectron coincidence experiments at 20 eV excess energy in equal energy sharing conditions","authors":"Giorgio Turri, Paola Bolognesi, Lorenzo Avaldi","doi":"10.1140/epjd/s10053-024-00917-4","DOIUrl":"10.1140/epjd/s10053-024-00917-4","url":null,"abstract":"<div><p>The Triple-Differential Cross Section (TDCS) for the Photo Double-Ionization of carbon dioxide molecule to the CO<sub>2</sub><sup>2+</sup> X<sup>3</sup> Σ<sub>g</sub><sup>−</sup> ground state has been measured at 20 eV excess energy. In the experiment the coincidence angular distributions of the two photoelectrons, where the direction of one photoelectron has been fixed at 0, 30 and 60° with respect to the direction of the polarization of the incident radiation, have been measured for a condition where the two photoelectrons equally share the excess energy. Care has been taken to perform the measurements with an energy resolution which enabled to isolate the TDCS of the X<sup>3</sup>Σ<sup>−</sup><sub>g</sub> ground state of the dication. An appreciable contribution to TDCS at a relative angle θ<sub>12</sub> = 180° has been observed and attributed to a favorite symmetry of the wavefunction of the two ejected electrons.</p><h3>Graphical abstract</h3><div><figure><div><div><picture><source><img></source></picture></div></div></figure></div><p>TDCS of CO<sub>2</sub> measures at photon energy 57.7eV, θ<sub>1</sub>=0, 30 and 60° and equal energy sharing of 10 eV are reported as black dots. Panels (a) and (c) report the TDCS as calculated by Alwan et al. (J Phys B: At Mol Opt Phys 48:185203, 2015) using the charge in the Sommerfeld parameters for the oxygen atom of 0.2 (black full curve) and 0.8 (ref full curve). The blue full curve in panels (d)-(f) is the fit to the experiments with the helium=like model by Reddsih and Feaging (J Phys B: At Mol Opt Phys 32:2473, 1999).</p></div>","PeriodicalId":789,"journal":{"name":"The European Physical Journal D","volume":"78 10","pages":""},"PeriodicalIF":1.5,"publicationDate":"2024-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142434764","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 : 2024-10-12DOI: 10.1140/epjd/s10053-024-00919-2
E. M. Tari, S. Zahraoui, M. Ibnchaikh, N. Hachem
The Wentzel–Kramers–Brillouin approximation is applied to study the light scattering properties of an arbitrarily oriented cubic particle. The form factor and extinction coefficient of this particle are expressed in simple analytical expressions. The effects of certain physical parameters, namely angles of incidence, scattering azimuthal and zenith angles, refractive index and size parameter, on the form factor and extinction coefficient are analyzed. Some numerical examples are also presented to illustrate the results.
{"title":"Light scattering of an arbitrarily oriented cubic particle within the Wentzel–Kramers–Brillouin approach","authors":"E. M. Tari, S. Zahraoui, M. Ibnchaikh, N. Hachem","doi":"10.1140/epjd/s10053-024-00919-2","DOIUrl":"10.1140/epjd/s10053-024-00919-2","url":null,"abstract":"<p>The Wentzel–Kramers–Brillouin approximation is applied to study the light scattering properties of an arbitrarily oriented cubic particle. The form factor and extinction coefficient of this particle are expressed in simple analytical expressions. The effects of certain physical parameters, namely angles of incidence, scattering azimuthal and zenith angles, refractive index and size parameter, on the form factor and extinction coefficient are analyzed. Some numerical examples are also presented to illustrate the results.</p>","PeriodicalId":789,"journal":{"name":"The European Physical Journal D","volume":"78 10","pages":""},"PeriodicalIF":1.5,"publicationDate":"2024-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142411526","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 : 2024-10-01DOI: 10.1140/epjd/s10053-024-00914-7
Shu-Xing Wang, Carsten Brandau, Stephan Fritzsche, Sebastian Fuchs, Zoltán Harman, Christophor Kozhuharov, Alfred Müller, Markus Steck, Stefan Schippers
Electron-ion collision spectroscopy of the KLL dielectronic recombination (DR) resonances of hydrogenlike xenon ions was performed at a heavy-ion storage ring with a resolving power that is competitive with x-ray spectroscopy of inner-shell transitions in highly charged ions. The (KL_{1/2}L_{1/2}), (KL_{1/2}L_{3/2}), and (KL_{3/2}L_{3/2}) resonance groups and even parts of their fine structure are individually resolved. The resonance strengths were measured on an absolute scale and compared with results from multi-configuration Dirac–Fock (MCDF) calculations. These are in excellent agreement with the experimental findings when QED effects on the resonance energies and the Breit interaction are considered. As already found for DR of hydrogenlike uranium (Bernhardt et al. in Phys Rev A 83:020701(R), 2011), this interaction is particularly strong for the (KL_{1/2}L_{1/2}) resonance group. For U(^{91+}), it increases the (KL_{1/2}L_{1/2}) DR resonance strength by 40%. For Xe(^{53+}), the increase is found to amount to 25%, confirming the prediction that the influence of the Breit interaction grows with increasing nuclear charge. A comprehensive appendix treats the derivation of experimental and theoretical merged-beams recombination rate coefficients for interacting beams of relativistic electrons and ions.
在重离子存储环上对类氢氙离子的 KLL 介电重组(DR)共振进行了电子-离子碰撞光谱分析,其分辨能力可与高电荷离子内壳跃迁的 X 射线光谱分析相媲美。(KL_{1/2}L_{1/2})、(KL_{1/2}L_{3/2})和(KL_{3/2}L_{3/2})共振组甚至它们的部分精细结构都被单独解析出来。共振强度是在绝对尺度上测量的,并与多构型狄拉克-福克(MCDF)计算的结果进行了比较。当考虑到 QED 对共振能量的影响和 Breit 相互作用时,这些结果与实验结果非常吻合。正如在类氢铀的 DR 中已经发现的那样(Bernhardt 等人,Phys Rev A 83:020701(R), 2011),这种相互作用对于 (KL_{1/2}L_{1/2}) 共振组尤其强烈。对于铀(^{91+}),它使(KL_{1/2}L_{1/2}) DR共振强度增加了40%。对于 Xe(^{53+}) 来说,这种增加达到了 25%,证实了布雷特相互作用的影响随着核电荷的增加而增加的预测。一个全面的附录讨论了相对论电子和离子相互作用束的实验和理论合并束重组率系数的推导。
{"title":"Breit interaction in dielectronic recombination of hydrogenlike xenon ions: storage-ring experiment and theory","authors":"Shu-Xing Wang, Carsten Brandau, Stephan Fritzsche, Sebastian Fuchs, Zoltán Harman, Christophor Kozhuharov, Alfred Müller, Markus Steck, Stefan Schippers","doi":"10.1140/epjd/s10053-024-00914-7","DOIUrl":"10.1140/epjd/s10053-024-00914-7","url":null,"abstract":"<p>Electron-ion collision spectroscopy of the <i>KLL</i> dielectronic recombination (DR) resonances of hydrogenlike xenon ions was performed at a heavy-ion storage ring with a resolving power that is competitive with x-ray spectroscopy of inner-shell transitions in highly charged ions. The <span>(KL_{1/2}L_{1/2})</span>, <span>(KL_{1/2}L_{3/2})</span>, and <span>(KL_{3/2}L_{3/2})</span> resonance groups and even parts of their fine structure are individually resolved. The resonance strengths were measured on an absolute scale and compared with results from multi-configuration Dirac–Fock (MCDF) calculations. These are in excellent agreement with the experimental findings when QED effects on the resonance energies and the Breit interaction are considered. As already found for DR of hydrogenlike uranium (Bernhardt et al. in Phys Rev A 83:020701(R), 2011), this interaction is particularly strong for the <span>(KL_{1/2}L_{1/2})</span> resonance group. For U<span>(^{91+})</span>, it increases the <span>(KL_{1/2}L_{1/2})</span> DR resonance strength by 40%. For Xe<span>(^{53+})</span>, the increase is found to amount to 25%, confirming the prediction that the influence of the Breit interaction grows with increasing nuclear charge. A comprehensive appendix treats the derivation of experimental and theoretical merged-beams recombination rate coefficients for interacting beams of relativistic electrons and ions.</p>","PeriodicalId":789,"journal":{"name":"The European Physical Journal D","volume":"78 10","pages":""},"PeriodicalIF":1.5,"publicationDate":"2024-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1140/epjd/s10053-024-00914-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142409305","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 : 2024-09-30DOI: 10.1140/epjd/s10053-024-00913-8
Ahmed Redha Benrekia, Rachid Fermous, Ziane Kchidi, Rabia Amour
The effects of gravitational force on the behavior of collisionless shock waves in a nonthermal dusty plasma with fluctuating charge have been examined. The distribution function describing a cold beam of dust grains under the influence of gravitational effects has been reanalyzed, resulting in the derivation of a new density expression. Numerical integration of the Poisson equation, coupled with the dust grain charge equation, reveals that the electrostatic potential associated with DA shock waves forms an asymmetric, oscillatory structure when gravitational effects are considered. Specifically, we have found that due to gravitational effects, the electrostatic potential inherent to the DA shock waves undergoes a jump and increases linearly and the amplitude of each oscillation decreases as the nonthermality of the electrons becomes more important. Furthermore, for medium-sized grains, the interplay between electrostatic potential and gravitational forces results in a shift of the multilayer structure toward higher potential values, along with an increased number of oscillations. This effect becomes even more pronounced for larger grains. The results of our investigation may contribute to a deeper understanding of shock structures in inhomogeneous media obtained in a controlled laboratory environment and may also have practical applications in interpreting similar phenomena in astrophysical contexts.
研究了引力对电荷波动的非热尘埃等离子体中无碰撞冲击波行为的影响。重新分析了在引力作用下描述尘粒冷束的分布函数,从而推导出新的密度表达式。泊松方程的数值积分与尘粒电荷方程相结合,揭示出在考虑引力效应时,与 DA 冲击波相关的静电势形成了一种不对称的振荡结构。具体来说,我们发现,由于引力效应,DA 冲击波固有的静电势会发生跃迁,并呈线性增长,而且随着电子的非热性变得越来越重要,每次振荡的振幅都会减小。此外,对于中等大小的晶粒,静电势和引力之间的相互作用导致多层结构向更高的电势值移动,同时振荡次数也增加了。对于较大的晶粒,这种效应会更加明显。我们的研究结果可能有助于加深对在受控实验室环境中获得的非均质介质冲击结构的理解,也可能在解释天体物理环境中的类似现象时具有实际应用价值。
{"title":"Gravitational force-induced changes in collisionless shock wave behavior in a charge-varying nonthermal dusty plasma","authors":"Ahmed Redha Benrekia, Rachid Fermous, Ziane Kchidi, Rabia Amour","doi":"10.1140/epjd/s10053-024-00913-8","DOIUrl":"10.1140/epjd/s10053-024-00913-8","url":null,"abstract":"<p>The effects of gravitational force on the behavior of collisionless shock waves in a nonthermal dusty plasma with fluctuating charge have been examined. The distribution function describing a cold beam of dust grains under the influence of gravitational effects has been reanalyzed, resulting in the derivation of a new density expression. Numerical integration of the Poisson equation, coupled with the dust grain charge equation, reveals that the electrostatic potential associated with DA shock waves forms an asymmetric, oscillatory structure when gravitational effects are considered. Specifically, we have found that due to gravitational effects, the electrostatic potential inherent to the DA shock waves undergoes a jump and increases linearly and the amplitude of each oscillation decreases as the nonthermality of the electrons becomes more important. Furthermore, for medium-sized grains, the interplay between electrostatic potential and gravitational forces results in a shift of the multilayer structure toward higher potential values, along with an increased number of oscillations. This effect becomes even more pronounced for larger grains. The results of our investigation may contribute to a deeper understanding of shock structures in inhomogeneous media obtained in a controlled laboratory environment and may also have practical applications in interpreting similar phenomena in astrophysical contexts.\u0000</p>","PeriodicalId":789,"journal":{"name":"The European Physical Journal D","volume":"78 9","pages":""},"PeriodicalIF":1.5,"publicationDate":"2024-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142415269","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 : 2024-09-25DOI: 10.1140/epjd/s10053-024-00912-9
Yuwei Ma, Yunliang Song, Bowen Li
Because the dust from beryllium (Be) is toxic to humans, ITER has recently decided to replace the first wall material of Be with tungsten boron (B). While there has been much discussion on the electron-impact ionization (EII) cross sections for Be-containing molecules, EII data is still limited for fusion-relevant molecules containing B. We report the EII cross section for the fusion-relevant diatomic molecules BH, BN, BO, BF3 and WB using the Binary-Encounter-Bethe (BEB) and Deutsch-Märk (DM) methods and evaluate its accuracy based on the available experimental data. The errors between our BEB and DM cross sections for these molecules are within 23%.
{"title":"Electron-impact ionization cross section of fusion-relevant diatomic molecules containing B","authors":"Yuwei Ma, Yunliang Song, Bowen Li","doi":"10.1140/epjd/s10053-024-00912-9","DOIUrl":"10.1140/epjd/s10053-024-00912-9","url":null,"abstract":"<p>Because the dust from beryllium (Be) is toxic to humans, ITER has recently decided to replace the first wall material of Be with tungsten boron (B). While there has been much discussion on the electron-impact ionization (EII) cross sections for Be-containing molecules, EII data is still limited for fusion-relevant molecules containing B. We report the EII cross section for the fusion-relevant diatomic molecules BH, BN, BO, BF<sub>3</sub> and WB using the Binary-Encounter-Bethe (BEB) and Deutsch-Märk (DM) methods and evaluate its accuracy based on the available experimental data. The errors between our BEB and DM cross sections for these molecules are within 23%.</p>","PeriodicalId":789,"journal":{"name":"The European Physical Journal D","volume":"78 9","pages":""},"PeriodicalIF":1.5,"publicationDate":"2024-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142413795","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 : 2024-09-20DOI: 10.1140/epjd/s10053-024-00909-4
Fatkhulla Kh. Abdullaev, Ravil M. Galimzyanov, Akbar M. Shermakhmatov
The nonlinear dynamics of a quasi-1D BEC loaded in a double-well potential is studied. The beyond-mean-field corrections to the energy in the form of the Lee–Huang–Yang term are taken into account. One-dimensional geometry is considered. The problem is described in the scalar approximation by the extended Gross–Pitaevskii (EGP) equation with the attractive quadratic nonlinearity, due to the Lee–Huang–Yang correction, and the effective cubic mean-field nonlinearity describing the residual intra- and inter-species interactions. To describe tunneling and localization phenomena, a two-mode model was obtained. The frequencies of the Josephson oscillations are found and confirmed by the full numerical simulations of the EGP equation. The parametric resonance in the Josephson oscillations, when the height of the barrier is periodically modulated, is studied. The predictions of the dimer model, including the case of the one-dimensional Lee–Huang–Yang superfluid, have been proven.
{"title":"Beyond-mean-field effects in dynamics of BEC in the double-well potential","authors":"Fatkhulla Kh. Abdullaev, Ravil M. Galimzyanov, Akbar M. Shermakhmatov","doi":"10.1140/epjd/s10053-024-00909-4","DOIUrl":"10.1140/epjd/s10053-024-00909-4","url":null,"abstract":"<p>The nonlinear dynamics of a quasi-1D BEC loaded in a double-well potential is studied. The beyond-mean-field corrections to the energy in the form of the Lee–Huang–Yang term are taken into account. One-dimensional geometry is considered. The problem is described in the scalar approximation by the extended Gross–Pitaevskii (EGP) equation with the attractive quadratic nonlinearity, due to the Lee–Huang–Yang correction, and the effective cubic mean-field nonlinearity describing the residual intra- and inter-species interactions. To describe tunneling and localization phenomena, a two-mode model was obtained. The frequencies of the Josephson oscillations are found and confirmed by the full numerical simulations of the EGP equation. The parametric resonance in the Josephson oscillations, when the height of the barrier is periodically modulated, is studied. The predictions of the dimer model, including the case of the one-dimensional Lee–Huang–Yang superfluid, have been proven.</p>","PeriodicalId":789,"journal":{"name":"The European Physical Journal D","volume":"78 9","pages":""},"PeriodicalIF":1.5,"publicationDate":"2024-09-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142412776","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}