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Journal of Experimental and Theoretical Physics

Laser Cooling of 171Yb+ Ion in Polychromatic Light Field

D. S. Krysenko, Прудников Олег Николаевич

Published Aug 1, 2023• 4 citations
Publisher

Abstract

Abstract Standard methods of laser cooling 171Yb+ in a radiofrequency trap involve the use of coherent optical fields resonant to the optical transition of the 2S1/2 → 2P1/2 line, as well as a magnetic field that is used to destroy the coherent population trapping (CPT) appeared at the 2S1/2(F = 1) level. Further precision measurements with use of the clock transitions (quadrupole 2S1/2(F = 0) → 2D3/2(F = 2) and octupole 2S1/2(F = 0) → 2F7/2(F = 2)) require significant suppression and control of residual magnetic fields. In this work, we investigate in detail an alternative method of laser cooling 171Yb+ with use of polychromatic fields, which allows completely eliminate the use of a magnetic field in the ion cooling process and thus suppress Zeeman quadratic shift associated with uncontrolled residual magnetic fields.

DOI
10.1134/s1063776123080149

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Laser Cooling of 171Yb+ Ion in Polychromatic Light Field

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Standard methods of laser cooling171Yb+in a radiofrequency trap involve the use of coherent optical fields resonant to the optical transition of the2S1/2→2P1/2line, as well as a magnetic field that is used to destroy the coherent population trapping (CPT) appeared at the2S1/2(F= 1) level. Further precision measurements with use of the clock transitions (quadrupole2S1/2(F= 0) →2D3/2(F= 2) and octupole2S1/2(F= 0) →2F7/2(F= 2)) require significant suppression and control of residual magnetic fields. In this work, we investigate in detail an alternative method of laser cooling171Yb+with use of polychromatic fields, which allows completely eliminate the use of a magnetic field in the ion cooling process and thus suppress Zeeman quadratic shift associated with uncontrolled residual magnetic fields.

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Optical frequency standard based on a trapped171Yb+ion

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We describe experimental investigations on an optical frequency standard based on a single laser cooled 171Yb+ ion confined in a radiofrequency Paul trap. The 435.5 nm electric-quadrupole transition from the 2S1/2(F=0) groudn state to the 2D3/2(F=2) state is probed using a diode laser system whose short-term frequency stability is derived from an environmentally isolated ULE cavity. The transition is resolved with a Foruier-limited full halfwidth of approximately 30 Hz. The absolute optical transition frequency is determined using a femtosecond frequency comb generator and a Cs fountain clock as the frequency reference. The measured frequency value is 688 358 979 321 Hz at an ambient blackbody radiation field of 300 K. The 1σ fractional uncertainty of this frequency measurement is 1×10-14.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Oct 8, 2003•0 citations
Abstract Standard methods of laser cooling 171Yb+ in a radiofrequency trap involve the use of coherent optical fields resonant to the optical transition of the 2S1/2 → 2P1/2 line, as well as a magnetic field that is used to destroy the coherent population trapping (CPT) appeared at the 2S1/2(F = 1) level. Further precision measurements with use of the clock transitions (quadrupole 2S1/2(F = 0) → 2D3/2(F = 2) and octupole 2S1/2(F = 0) → 2F7/2(F = 2)) require significant suppression and control of residual magnetic fields. In this work, we investigate in detail an alternative method of laser cooling 171Yb+ with use of polychromatic fields, which allows completely eliminate the use of a magnetic field in the ion cooling process and thus suppress Zeeman quadratic shift associated with uncontrolled residual magnetic fields.
Standard methods of laser cooling171Yb+in a radiofrequency trap involve the use of coherent optical fields resonant to the optical transition of the2S1/2→2P1/2line, as well as a magnetic field that is used to destroy the coherent population trapping (CPT) appeared at the2S1/2(F= 1) level. Further precision measurements with use of the clock transitions (quadrupole2S1/2(F= 0) →2D3/2(F= 2) and octupole2S1/2(F= 0) →2F7/2(F= 2)) require significant suppression and control of residual magnetic fields. In this work, we investigate in detail an alternative method of laser cooling171Yb+with use of polychromatic fields, which allows completely eliminate the use of a magnetic field in the ion cooling process and thus suppress Zeeman quadratic shift associated with uncontrolled residual magnetic fields.
We propose a scheme of deep laser cooling of 171Yb+^{171}\mathrm{Yb}^{+}171Yb+, which is based on the effect of electromagnetically induced transparency (EIT) in a polychromatic field with three frequency components resonant with optical transitions of the $^{2}S_{1/2}\ensuremath{\rightarrow}^{2}P_{1/2}$ line. The deep cooling down to the ground motional state in a trap allows for a significant suppression of the second-order Doppler shift in the frequency standard. Moreover, in our scheme, there is no need to use a magnetic field, which is required for Doppler cooling of 171Yb+^{171}\mathrm{Yb}^{+}171Yb+ in a field with a two frequency component. Cooling without the use of a magnetic field is important for the deep suppression of quadratic Zeeman shifts of clock transitions due to an uncontrolled residual magnetic field.
A scheme for laser cooling of an 171 Yb + ion in a radio-frequency trap using a three-frequency laser field with its components resonant to optical transitions of the line 2 S 1/ 2 → 2 P 1/ 2, which does not require a magnetic field, is experimentally implemented. The exclusion of the magnetic field in the laser cooling cycle allows for precise control of a weak magnetic field (∼ 10 - 2 Gs), used for spectroscopy of clock transitions in the optical frequency standard based on a single ytterbium ion, which is important for suppressing frequency shifts associated with the quadratic Zeeman effect.
We describe experimental investigations on an optical frequency standard based on a laser cooled 171Yb+ ion confined in a radiofrequency Paul trap. The electric-quadrupole transition from the 2S1/2(F=0) ground state to the 2D3/2(F=2) state at the wavelength of 436 nm is used as the reference transition. The reference transition is probed by a frequency-doubled, frequency-stabilized diode laser and is resolved with a Fourier-limited full halfwidth of approximately 30 Hz. In order to compare two 171Yb+ standards, separate frequency shift and servo systems are employed to stabilise the probe frequency to the reference transition line centers of two independently stored 171Yb+ ions. The present experimental results indicate a relative instability (Allan standard deviation)of the optical frequency difference between the two systems of sigma_y(1000 s)=1.0E-15 and a mean frequency difference of 0.2 Hz. Shifts in the range of several Hertz are observed in the frequency difference if a stationary electric field gradient is superimposed on the radiofrequency trap field. This measurement permits a first experimental estimate of the electric quadrupole moment of the 2D3/2 state of Yb+.
We describe experimental investigations on an optical frequency standard based on a single laser cooled 171Yb+ ion confined in a radiofrequency Paul trap. The 435.5 nm electric-quadrupole transition from the 2S1/2(F=0) groudn state to the 2D3/2(F=2) state is probed using a diode laser system whose short-term frequency stability is derived from an environmentally isolated ULE cavity. The transition is resolved with a Foruier-limited full halfwidth of approximately 30 Hz. The absolute optical transition frequency is determined using a femtosecond frequency comb generator and a Cs fountain clock as the frequency reference. The measured frequency value is 688 358 979 321 Hz at an ambient blackbody radiation field of 300 K. The 1σ fractional uncertainty of this frequency measurement is 1×10-14.