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Hantro M, Maes B, Rosolen G, Van Dyck C. Higher-order effects and validity of the point-dipole approximation for conjugated extended molecular emitters near plasmonic nanostructures. J Chem Phys 2025; 162:034303. [PMID: 39812260 DOI: 10.1063/5.0242123] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/02/2024] [Accepted: 12/27/2024] [Indexed: 01/16/2025] Open
Abstract
Rapid advancements in nanotechnology have allowed for the characterization of single molecules by placing them in the vicinity of nanoplasmonic structures that are known to confine light to sub-molecular scales. In this study, we introduce a theoretical framework that captures higher-order effects, and we explore the limits of the standard description of a molecular emitter as a point-dipole. We particularly focus on the role played by the emitter chain length and electron conjugation. Strong deviations are observed from the point-dipole approximation, demonstrating that higher-order effects are essential to fully capture the emission rate of extended molecules in the vicinity of nanoparticles. This deviation strongly depends on the orientation of the conjugated chain relative to the nanoplasmonic structure. Finally, we propose a simple rationalization that qualitatively assesses the difference from the point-dipole approximation.
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Affiliation(s)
- Mhamad Hantro
- Theoretical Chemical Physics Group, Research Institute for Materials Science and Engineering, University of Mons, 20 Place du Parc, 7000 Mons, Belgium
| | - Bjorn Maes
- Micro- and Nanophotonic Materials Group, Research Institute for Materials Science and Engineering, University of Mons, 20 Place du Parc, 7000 Mons, Belgium
| | - Gilles Rosolen
- Micro- and Nanophotonic Materials Group, Research Institute for Materials Science and Engineering, University of Mons, 20 Place du Parc, 7000 Mons, Belgium
| | - Colin Van Dyck
- Theoretical Chemical Physics Group, Research Institute for Materials Science and Engineering, University of Mons, 20 Place du Parc, 7000 Mons, Belgium
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2
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Smeets S, Maes B, Rosolen G. Interference between multipolar two-photon transitions in quantum emitters near plasmonic nanostructures. DISCOVER NANO 2024; 19:155. [PMID: 39331204 PMCID: PMC11436523 DOI: 10.1186/s11671-024-04111-8] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 05/16/2024] [Accepted: 09/11/2024] [Indexed: 09/28/2024]
Abstract
In the vicinity of plasmonic nanostructures that support highly confined light fields, spontaneous emission processes, such as two-photon spontaneous emission (TPSE), exhibit higher-order multipolar emission pathways beyond the dipolar one. These multipolar emission channels occur simultaneously and can interfere with each other. We develop a novel framework that computes these interference effects for TPSE of a quantum emitter close to an arbitrary nanostructure. The model is based on the computation of Purcell factors that can be calculated with conventional electromagnetic simulations, which avoids complex analytic calculations for the environment. For a transition of a hydrogen-like emitter close to a graphene nanotriangle, we demonstrate a breakdown of the dipolar selection rule in the TPSE process. This breakdown is due to a huge enhancement of the two-electric dipole (2ED) and of the two-electric quadrupole (2EQ) transitions. We observe an important interference between these multipolar transitions, as it increases the total rate by 67 % . In the end, our framework is a complete tool to design emitters and nanostructures for TPSE, where the exploitation of previously ignored interference effects provides an additional degree of freedom, for example to boost desired transitions and to supress undesirable ones.
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Affiliation(s)
- S Smeets
- Micro- and Nanophotonic Materials Group, Research Institute for Materials Science and Engineering, University of Mons, 20 Place du Parc, 7000, Mons, Belgium.
| | - B Maes
- Micro- and Nanophotonic Materials Group, Research Institute for Materials Science and Engineering, University of Mons, 20 Place du Parc, 7000, Mons, Belgium
| | - G Rosolen
- Micro- and Nanophotonic Materials Group, Research Institute for Materials Science and Engineering, University of Mons, 20 Place du Parc, 7000, Mons, Belgium
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Ryapolov P, Vasilyeva A, Kalyuzhnaya D, Churaev A, Sokolov E, Shel’deshova E. Magnetic Fluids: The Interaction between the Microstructure, Macroscopic Properties, and Dynamics under Different Combinations of External Influences. NANOMATERIALS (BASEL, SWITZERLAND) 2024; 14:222. [PMID: 38276740 PMCID: PMC10819141 DOI: 10.3390/nano14020222] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Grants] [Track Full Text] [Subscribe] [Scholar Register] [Received: 12/20/2023] [Revised: 01/12/2024] [Accepted: 01/15/2024] [Indexed: 01/27/2024]
Abstract
Magnetic fluids were historically the first active nano-dispersion material. Despite over half a century of research, interest in these nano-objects continues to grow every year. This is due to the impressive development of nanotechnology, the synthesis of nanoscale structures, and surface-active systems. The unique combination of fluidity and magnetic response allows magnetic fluids to be used in engineering devices and biomedical applications. In this review, experimental results and fundamental theoretical approaches are systematized to predict the micro- and macroscopic behavior of magnetic fluid systems under different external influences. The article serves as working material for both experienced scientists in the field of magnetic fluids and novice specialists who are just beginning to investigate this topic.
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Affiliation(s)
- Petr Ryapolov
- Department of Nanotechnology, Microelectronics, General and Applied Physics, Faculty of Natural Sciences, Southwest State University, 50 Let Oktyabrya Street, 94, 305040 Kursk, Russia; (A.V.); (D.K.); (A.C.); (E.S.); (E.S.)
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Pan D, Xu H. Polarizing Free Electrons in Optical Near Fields. PHYSICAL REVIEW LETTERS 2023; 130:186901. [PMID: 37204889 DOI: 10.1103/physrevlett.130.186901] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Subscribe] [Scholar Register] [Received: 06/18/2022] [Accepted: 03/03/2023] [Indexed: 05/21/2023]
Abstract
Polarizing electron beams using light is highly desirable but exceedingly challenging, as the approaches proposed in previous studies using free-space light usually require enormous laser intensities. Here, we propose the use of a transverse electric optical near field, extended on nanostructures, to efficiently polarize an adjacent electron beam by exploiting the strong inelastic electron scattering in phase-matched optical near fields. Intriguingly, the two spin components of an unpolarized incident electron beam-parallel and antiparallel to the electric field-are spin-flipped and inelastically scattered to different energy states, providing an analog of the Stern-Gerlach experiment in the energy dimension. Our calculations show that when a dramatically reduced laser intensity of ∼10^{12} W/cm^{2} and a short interaction length of 16 μm are used, an unpolarized incident electron beam interacting with the excited optical near field can produce two spin-polarized electron beams, both exhibiting near unity spin purity and a 6% brightness relative to the input beam. Our findings are important for optical control of free-electron spins, preparation of spin-polarized electron beams, and applications in material science and high-energy physics.
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Affiliation(s)
- Deng Pan
- State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200062, China
- Institute of Quantum Materials and Physics, Henan Academy of Sciences, Zhengzhou 450046, China
| | - Hongxing Xu
- Institute of Quantum Materials and Physics, Henan Academy of Sciences, Zhengzhou 450046, China
- School of Physics and Technology, Wuhan University, Wuhan 430072, China
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Kosik M, Burlayenko O, Rockstuhl C, Fernandez-Corbaton I, Słowik K. Interaction of atomic systems with quantum vacuum beyond electric dipole approximation. Sci Rep 2020; 10:5879. [PMID: 32246018 PMCID: PMC7125098 DOI: 10.1038/s41598-020-62629-0] [Citation(s) in RCA: 7] [Impact Index Per Article: 1.4] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/02/2020] [Accepted: 03/09/2020] [Indexed: 11/17/2022] Open
Abstract
The photonic environment can significantly influence emission properties and interactions among atomic systems. In such scenarios, frequently the electric dipole approximation is assumed that is justified as long as the spatial extent of the atomic system is negligible compared to the spatial variations of the field. While this holds true for many canonical systems, it ceases to be applicable for more contemporary nanophotonic structures. To go beyond the electric dipole approximation, we propose and develop in this article an analytical framework to describe the impact of the photonic environment on emission and interaction properties of atomic systems beyond the electric dipole approximation. Particularly, we retain explicitly magnetic dipolar and electric quadrupolar contributions to the light-matter interactions. We exploit a field quantization scheme based on electromagnetic Green’s tensors, suited for dispersive materials. We obtain expressions for spontaneous emission rate, Lamb shift, multipole-multipole shift and superradiance rate, all being modified with dispersive environment. The considered influence could be substantial for suitably tailored nanostructured photonic environments, as demonstrated exemplarily.
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Affiliation(s)
- Miriam Kosik
- Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University in Toruń, Grudziadzka 5, 87-100, Torun, Poland.
| | - Oleksandr Burlayenko
- Department of Physics and Technology, V.N. Karazin Kharkiv National University, Kharkiv, Ukraine
| | - Carsten Rockstuhl
- Institute of Theoretical Solid State Physics, Karlsruhe Institute of Technology, 76131, Karlsruhe, Germany.,Institute of Nanotechnology, Karlsruhe Institute of Technology, 76021, Karlsruhe, Germany
| | | | - Karolina Słowik
- Institute of Physics, Faculty of Physics, Astronomy and Informatics, Nicolaus Copernicus University in Toruń, Grudziadzka 5, 87-100, Torun, Poland.
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Kosik M, Słowik K. Interaction and Entanglement of a Pair of Quantum Emitters near a Nanoparticle: Analysis beyond Electric-Dipole Approximation. ENTROPY 2020; 22:e22020135. [PMID: 33285910 PMCID: PMC7516544 DOI: 10.3390/e22020135] [Citation(s) in RCA: 1] [Impact Index Per Article: 0.2] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 12/18/2019] [Revised: 01/12/2020] [Accepted: 01/21/2020] [Indexed: 11/16/2022]
Abstract
In this paper, we study the collective effects which appear as a pair of quantum emitters is positioned in close vicinity to a plasmonic nanoparticle. These effects include multipole–multipole interaction and collective decay, the strengths and rates of which are modified by the presence of the nanoparticle. As a result, entanglement is generated between the quantum emitters, which survives in the stationary state. To evaluate these effects, we exploit the Green’s tensor-based quantization scheme in the Markovian limit, taking into account the corrections from light–matter coupling channels higher than the electric dipole. We find these higher-order channels to significantly influence the collective rates and degree of entanglement, and in particular, to qualitatively influence their spatial profiles. Our findings indicate that, apart from quantitatively modifying the results, the higher-order interaction channels may introduce asymmetry into the spatial distribution of the collective response.
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Enhancement of and interference among higher order multipole transitions in molecules near a plasmonic nanoantenna. Nat Commun 2019; 10:5775. [PMID: 31852897 PMCID: PMC6920377 DOI: 10.1038/s41467-019-13748-4] [Citation(s) in RCA: 14] [Impact Index Per Article: 2.3] [Reference Citation Analysis] [Abstract] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 06/06/2019] [Accepted: 11/12/2019] [Indexed: 11/09/2022] Open
Abstract
Spontaneous emission of quantum emitters can be modified by their optical environment, such as a resonant nanoantenna. This impact is usually evaluated under assumption that each molecular transition is dominated only by one multipolar channel, commonly the electric dipole. In this article, we go beyond the electric dipole approximation and take light-matter coupling through higher-order multipoles into account. We investigate a strong enhancement of the magnetic dipole and electric quadrupole emission channels of a molecule adjacent to a plasmonic nanoantenna. Additionally, we introduce a framework to study interference effects between various transition channels in molecules by rigorous quantum-chemical calculations of their multipolar moments and a consecutive investigation of the transition rate upon coupling to a nanoantenna. We predict interference effects between these transition channels, which allow in principle for a full suppression of radiation by exploiting destructive interference, waiving limitations imposed on the emitter's coherence time by spontaneous emission.
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Lodahl P, Mahmoodian S, Stobbe S, Rauschenbeutel A, Schneeweiss P, Volz J, Pichler H, Zoller P. Chiral quantum optics. Nature 2017; 541:473-480. [PMID: 28128249 DOI: 10.1038/nature21037] [Citation(s) in RCA: 360] [Impact Index Per Article: 45.0] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 07/12/2016] [Accepted: 11/11/2016] [Indexed: 02/04/2023]
Abstract
Advanced photonic nanostructures are currently revolutionizing the optics and photonics that underpin applications ranging from light technology to quantum-information processing. The strong light confinement in these structures can lock the local polarization of the light to its propagation direction, leading to propagation-direction-dependent emission, scattering and absorption of photons by quantum emitters. The possibility of such a propagation-direction-dependent, or chiral, light-matter interaction is not accounted for in standard quantum optics and its recent discovery brought about the research field of chiral quantum optics. The latter offers fundamentally new functionalities and applications: it enables the assembly of non-reciprocal single-photon devices that can be operated in a quantum superposition of two or more of their operational states and the realization of deterministic spin-photon interfaces. Moreover, engineered directional photonic reservoirs could lead to the development of complex quantum networks that, for example, could simulate novel classes of quantum many-body systems.
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Affiliation(s)
- Peter Lodahl
- Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, DK-2100 Copenhagen, Denmark
| | - Sahand Mahmoodian
- Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, DK-2100 Copenhagen, Denmark
| | - Søren Stobbe
- Niels Bohr Institute, University of Copenhagen, Blegdamsvej 17, DK-2100 Copenhagen, Denmark
| | - Arno Rauschenbeutel
- Vienna Center for Quantum Science and Technology, Atominstitut, TU Wien, Stadionallee 2, 1020 Vienna, Austria
| | - Philipp Schneeweiss
- Vienna Center for Quantum Science and Technology, Atominstitut, TU Wien, Stadionallee 2, 1020 Vienna, Austria
| | - Jürgen Volz
- Vienna Center for Quantum Science and Technology, Atominstitut, TU Wien, Stadionallee 2, 1020 Vienna, Austria
| | - Hannes Pichler
- Institute for Theoretical Physics, University of Innsbruck, 6020 Innsbruck, Austria.,Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, 6020 Innsbruck, Austria
| | - Peter Zoller
- Institute for Theoretical Physics, University of Innsbruck, 6020 Innsbruck, Austria.,Institute for Quantum Optics and Quantum Information of the Austrian Academy of Sciences, 6020 Innsbruck, Austria
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