Toroidal optical transitions in hydrogen-like atoms
It is commonly believed that electromagnetic spectra of atoms and molecules can be fully described by interactions involving electric and magnetic multipoles. However, it has recently become clear that interactions between light and matter also involve toroidal multipoles-toroidal absorption lines h...
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sg-ntu-dr.10356-1708142023-10-16T15:35:55Z Toroidal optical transitions in hydrogen-like atoms Kuprov, Ilya Wilkowski, David Zheludev, Nikolay I. School of Physical and Mathematical Sciences Science::Physics Dipole Density Hydrogen-Like Atoms It is commonly believed that electromagnetic spectra of atoms and molecules can be fully described by interactions involving electric and magnetic multipoles. However, it has recently become clear that interactions between light and matter also involve toroidal multipoles-toroidal absorption lines have been observed in electromagnetic metamaterials. Here, we show that a previously unexplored type of spectroscopy of the hitherto largely neglected toroidal dipolar interaction becomes feasible if, apart from the classical r × r × p toroidal dipole density term responsible for the toroidal transitions in metamaterials, the spin-dependent r × σ term (which only occurs in relativistic quantum mechanics) is taken into account. Toroidal dipole operators are odd under parity and time-reversal symmetries; toroidal dipole transitions can therefore be distinguished from electric multipole and magnetic dipole transitions. Ministry of Education (MOE) Published version This work was supported by the U.K. Engineering and Physical Sciences Research Council (EP/M009122/1), the Singapore Ministry of Education (MOE2016-T3-1-006 and MOE-T2EP50120-0005), European Research Council (FLEET-786851), and the Defense Advanced Research Projects Agency (DARPA) under the Nascent Light Matter Interactions program. N.Z. acknowledges support from Hagler Institute for Advances Study, Texas A&M University. 2023-10-11T07:28:10Z 2023-10-11T07:28:10Z 2022 Journal Article Kuprov, I., Wilkowski, D. & Zheludev, N. I. (2022). Toroidal optical transitions in hydrogen-like atoms. Science Advances, 8(45), eabq6751-. https://dx.doi.org/10.1126/sciadv.abq6751 2375-2548 https://hdl.handle.net/10356/170814 10.1126/sciadv.abq6751 36351026 2-s2.0-85141452386 45 8 eabq6751 en OE2016-T3-1-006 MOE-T2EP50120-0005 Science Advances © 2022 The Authors, some rights reserved; exclusive licensee American Association for the Advancement of Science. No claim to original U.S. Government Works. Distributed under a Creative Commons Attribution NonCommercial License 4.0 (CC BY-NC). application/pdf |
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Science::Physics Dipole Density Hydrogen-Like Atoms Kuprov, Ilya Wilkowski, David Zheludev, Nikolay I. Toroidal optical transitions in hydrogen-like atoms |
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It is commonly believed that electromagnetic spectra of atoms and molecules can be fully described by interactions involving electric and magnetic multipoles. However, it has recently become clear that interactions between light and matter also involve toroidal multipoles-toroidal absorption lines have been observed in electromagnetic metamaterials. Here, we show that a previously unexplored type of spectroscopy of the hitherto largely neglected toroidal dipolar interaction becomes feasible if, apart from the classical r × r × p toroidal dipole density term responsible for the toroidal transitions in metamaterials, the spin-dependent r × σ term (which only occurs in relativistic quantum mechanics) is taken into account. Toroidal dipole operators are odd under parity and time-reversal symmetries; toroidal dipole transitions can therefore be distinguished from electric multipole and magnetic dipole transitions. |
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School of Physical and Mathematical Sciences |
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School of Physical and Mathematical Sciences Kuprov, Ilya Wilkowski, David Zheludev, Nikolay I. |
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Article |
author |
Kuprov, Ilya Wilkowski, David Zheludev, Nikolay I. |
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Kuprov, Ilya |
title |
Toroidal optical transitions in hydrogen-like atoms |
title_short |
Toroidal optical transitions in hydrogen-like atoms |
title_full |
Toroidal optical transitions in hydrogen-like atoms |
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Toroidal optical transitions in hydrogen-like atoms |
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Toroidal optical transitions in hydrogen-like atoms |
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toroidal optical transitions in hydrogen-like atoms |
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2023 |
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https://hdl.handle.net/10356/170814 |
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