Experimental and theoretical investigation of a multimode cooling scheme using multiple electromagnetically-induced-transparency resonances

Nils Scharnhorst; Javier Cerrillo; Johannes Kramer; Ian D. Leroux; Jannes B. Wübbena; Alex Retzker; Piet O. Schmidt

doi:10.1103/PhysRevA.98.023424

Experimental and theoretical investigation of a multimode cooling scheme using multiple electromagnetically-induced-transparency resonances

Nils Scharnhorst, Javier Cerrillo, Johannes Kramer, Ian D. Leroux, Jannes B. Wübbena, Alex Retzker, Piet O. Schmidt

Racah Institute of Physics

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

We introduce and demonstrate double-bright electromagnetically-induced-transparency (D-EIT) cooling as an extension to EIT cooling. By involving an additional ground state, two bright states can be shifted individually into resonance for cooling of motional modes of frequencies that may be separated by more than the width of a single EIT cooling resonance. This allows three-dimensional ground-state cooling of a Ca+40 ion trapped in a linear Paul trap with a single cooling pulse. Measured cooling rates and steady-state mean motional quantum numbers for this D-EIT cooling are compared with those of standard EIT cooling as well as concatenated standard EIT cooling pulses for multimode cooling. Experimental results are compared to full-density matrix calculations. We observe a failure of the theoretical description within the Lamb-Dicke regime that can be overcome by a time-dependent rate theory. Limitations of the different cooling techniques and possible extensions to multi-ion crystals are discussed.

Original language	American English
Article number	023424
Journal	Physical Review A
Volume	98
Issue number	2
DOIs	https://doi.org/10.1103/PhysRevA.98.023424
State	Published - 27 Aug 2018

Bibliographical note

Funding Information:
The authors would like to thank Nicolas Spethmann for helpful comments on the manuscript. We acknowledge support from the DFG through CRC 1128 (geo-Q), project A03 and CRC 1227 (DQ-mat), project B03, and the state of Lower Saxony, Hannover, Germany, project VWZN2927.

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© 2018 American Physical Society.

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10.1103/PhysRevA.98.023424

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title = "Experimental and theoretical investigation of a multimode cooling scheme using multiple electromagnetically-induced-transparency resonances",

abstract = "We introduce and demonstrate double-bright electromagnetically-induced-transparency (D-EIT) cooling as an extension to EIT cooling. By involving an additional ground state, two bright states can be shifted individually into resonance for cooling of motional modes of frequencies that may be separated by more than the width of a single EIT cooling resonance. This allows three-dimensional ground-state cooling of a Ca+40 ion trapped in a linear Paul trap with a single cooling pulse. Measured cooling rates and steady-state mean motional quantum numbers for this D-EIT cooling are compared with those of standard EIT cooling as well as concatenated standard EIT cooling pulses for multimode cooling. Experimental results are compared to full-density matrix calculations. We observe a failure of the theoretical description within the Lamb-Dicke regime that can be overcome by a time-dependent rate theory. Limitations of the different cooling techniques and possible extensions to multi-ion crystals are discussed.",

author = "Nils Scharnhorst and Javier Cerrillo and Johannes Kramer and Leroux, {Ian D.} and W{\"u}bbena, {Jannes B.} and Alex Retzker and Schmidt, {Piet O.}",

note = "Funding Information: The authors would like to thank Nicolas Spethmann for helpful comments on the manuscript. We acknowledge support from the DFG through CRC 1128 (geo-Q), project A03 and CRC 1227 (DQ-mat), project B03, and the state of Lower Saxony, Hannover, Germany, project VWZN2927. Publisher Copyright: {\textcopyright} 2018 American Physical Society.",

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AU - Scharnhorst, Nils

AU - Cerrillo, Javier

AU - Kramer, Johannes

AU - Leroux, Ian D.

AU - Wübbena, Jannes B.

AU - Retzker, Alex

AU - Schmidt, Piet O.

N1 - Funding Information: The authors would like to thank Nicolas Spethmann for helpful comments on the manuscript. We acknowledge support from the DFG through CRC 1128 (geo-Q), project A03 and CRC 1227 (DQ-mat), project B03, and the state of Lower Saxony, Hannover, Germany, project VWZN2927. Publisher Copyright: © 2018 American Physical Society.

PY - 2018/8/27

Y1 - 2018/8/27

N2 - We introduce and demonstrate double-bright electromagnetically-induced-transparency (D-EIT) cooling as an extension to EIT cooling. By involving an additional ground state, two bright states can be shifted individually into resonance for cooling of motional modes of frequencies that may be separated by more than the width of a single EIT cooling resonance. This allows three-dimensional ground-state cooling of a Ca+40 ion trapped in a linear Paul trap with a single cooling pulse. Measured cooling rates and steady-state mean motional quantum numbers for this D-EIT cooling are compared with those of standard EIT cooling as well as concatenated standard EIT cooling pulses for multimode cooling. Experimental results are compared to full-density matrix calculations. We observe a failure of the theoretical description within the Lamb-Dicke regime that can be overcome by a time-dependent rate theory. Limitations of the different cooling techniques and possible extensions to multi-ion crystals are discussed.

AB - We introduce and demonstrate double-bright electromagnetically-induced-transparency (D-EIT) cooling as an extension to EIT cooling. By involving an additional ground state, two bright states can be shifted individually into resonance for cooling of motional modes of frequencies that may be separated by more than the width of a single EIT cooling resonance. This allows three-dimensional ground-state cooling of a Ca+40 ion trapped in a linear Paul trap with a single cooling pulse. Measured cooling rates and steady-state mean motional quantum numbers for this D-EIT cooling are compared with those of standard EIT cooling as well as concatenated standard EIT cooling pulses for multimode cooling. Experimental results are compared to full-density matrix calculations. We observe a failure of the theoretical description within the Lamb-Dicke regime that can be overcome by a time-dependent rate theory. Limitations of the different cooling techniques and possible extensions to multi-ion crystals are discussed.

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Experimental and theoretical investigation of a multimode cooling scheme using multiple electromagnetically-induced-transparency resonances

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