Abstract
A theory of dynamic polarizability for trapping relevant states of Sr\(^+\) is presented here when the ions interact with a focused optical vortex. The coupling between the orbital and spin angular momentum of the optical vortex varies with focusing angle of the beam and is studied in the calculation of the magic wavelengths for \(5s_{{1}/{2}}\rightarrow 4d_{{3}/{2}, {5}/{2}}\) transitions of Sr\(^+\). The initial state of our interest here is \(5s_{{1}/{2}}\) with \(m_J = -1/2\) of which is different possible trapping state compare to our recent work on Sr\(^+\) [Phys. Rev. A 97, 022511 (2018)]. We find a variation in magic wavelengths and the corresponding polarizabilities with different combinations of orbital and spin angular momentum of the vortex beam. The variation is very significant when the wavelengths of the beam are in the infrared region of the electromagnetic spectrum. The calculated magic wavelengths will help the experimentalists to trap the ion for performing the high-precision spectroscopic measurements.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Champenois, C., Houssin, M., Lisowski, C., Knoop, M., Hagel, G., Vedel, M., Vedel, F.: Phys. Lett. A 331, 298 (2004)
Chou, C.W., Hume, D.B., Koelemeij, J.C.J., Wineland, D.J., Rosenband, T.: Phys. Rev. Lett. 104, 070802 (2010)
Rosenbusch, P., Ghezali, S., Dzuba, V.A., Flambaum, V.V., Beloy, K., Derevianko, A.: Phys. Rev. A 79, 013404 (2009)
Margolis, H.S.: J. Phys. B 42, 154017 (2009)
Nicholson, T., Campbell, S., Hutson, R., Marti, G., Bloom, B., McNally, R., Zhang, W., Barrett, M., Safronova, M., Strouse, G., et al.: Nat. Commun. 6, 6896 (2015)
Dong, R.C., Wei, R., Du, Y.B., Zou, F., Lin, J.D., Wang, Y.Z.: Appl. Phys. Lett. 106, 152402 (2015)
Biedermann, G.W., Wu, X., Deslauriers, L., Roy, S., Mahadeswaraswamy, C., Kasevich, M.A.: Phys. Rev. A 91, 033629 (2015)
Arora, B., Safronova, M.S., Clark, C.W.: Phys. Rev. A 76, 052509 (2007)
Ludlow, A.D., et al.: Science 319, 1805 (2008)
Flambaum, V.V., Dzuba, V.A., Derevianko, A.: Phys. Rev. Lett. 101, 220801 (2008)
Arora, B., Sahoo, B.K.: Phys. Rev. A 86, 033416 (2012)
Bhowmik, A., Mondal, P.K., Majumder, S., Deb, B.: Phys. Rev. A 93, 063852 (2016)
Bhowmik, A., Dutta, N.N., Majumder, S.: Phys. Rev. A 97, 022511 (2018)
Mondal, P.K., Deb, B., Majumder, S.: Phys. Rev. A 89, 063418 (2014)
Schmiegelow, C.T., Schulz, J., Kaufmann, H., Ruster, T., Poschinger, U.G., Schmidt-Kaler, F.: Nat. Commun. 7, 12998 (2016)
Dutta, N.N., Roy, S., Deshmukh, P.C.: Phys. Rev. A 92, 052510 (2015)
Safronova, M.S., Safronova, U.I.: Phys. Rev. A 83, 012503 (2011)
Zhao, Y., Edgar, J.S., Jeffries, G.D.M., McGloin, D., Chiu, D.T.: Phys. Rev. Lett. 99, 073901 (2007)
Mitroy, J., Safronova, M.S., Clark, C.W.: J. Phys. B 43, 202001 (2010)
Dutta, N.N., Majumder, S.: Ind. J. Phys. 90, 373 (2016)
Bhowmik, A., Roy, S., Dutta, N.N., Majumder, S.: J. Phys. B: At. Mol. Opt. Phys. 50, 125005 (2017)
Bhowmik, A., Dutta, N.N., Roy, S.: Astrophys. J. 836, 125 (2017)
Das, A., Bhowmik, A., Dutta, N.N., Majumder, S.: J. Phys. B: At. Mol. Opt. Phys. 51(51), 025001 (2018)
Biswas, S., Das, A., Bhowmik, A., Majumder, S.: Mon. Not. R. Astron. Soc. 477, 5605 (2018)
Johnson, W.R., Liu, Z.W., Sapirstein, J.: At. Data Nucl. Data Tables 64, 279 (1996)
Safronova, U.I.: Phys. Rev. A 82, 022504 (2010)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Bhowmik, A., Majumder, S. (2019). Dynamic Polarizabilities and Magic Wavelengths of Sr\(^+\) for Focused Vortex Light. In: Deshmukh, P., Krishnakumar, E., Fritzsche, S., Krishnamurthy, M., Majumder, S. (eds) Quantum Collisions and Confinement of Atomic and Molecular Species, and Photons. Springer Proceedings in Physics, vol 230. Springer, Singapore. https://doi.org/10.1007/978-981-13-9969-5_4
Download citation
DOI: https://doi.org/10.1007/978-981-13-9969-5_4
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-13-9968-8
Online ISBN: 978-981-13-9969-5
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)