N. V. Semenin, A. S. Borisenko, I. V. Zalivako, I. A. Semerikov, M. D. Aksenov, K. Yu. Khabarova, N. N. Kolachevsky, “Determination of the heating rate and temperature of an ion chain in a linear Paul trap by the dephasing of Rabi oscillations”, Pis'ma v Zh. Èksper. Teoret. Fiz., 2022, Volume 116, Issue 2,Pages <nobr>74

This article is cited in 10 papers

OPTICS AND NUCLEAR PHYSICS

Determination of the heating rate and temperature of an ion chain in a linear Paul trap by the dephasing of Rabi oscillations

N. V. Semenin^ab, A. S. Borisenko^ba, I. V. Zalivako^a, I. A. Semerikov^a, M. D. Aksenov^a, K. Yu. Khabarova^abc, N. N. Kolachevsky^ac

^a Lebedev Physical Institute, Russian Academy of Sciences, Moscow, 119991 Russia
^b Moscow Institute of Physics and Technology (National Research University), Dolgoprudnyi, Moscow region, 141701 Russia
^c Russian Quantum Center, Moscow, 121205 Russia

Abstract: The optimization of the parameters of laser cooling and the investigation of the heating rate in ion traps require the measurement of the temperature of ion chains for which the Lamb–Dicke regime is satisfied. A novel method based on the investigation of the dynamics of Rabi oscillations at a narrow electron transition in an individual ion of the chain has been suggested for such measurement. An analytical expression for the population of the upper state as a function of the excitation time is derived taking into account the thermal distribution of phonons over the vibrational modes of a chain with an arbitrary number of ions. The method is tested experimentally for the chain of five $^{171}$Yb$^+$ ions using the quadrupole transition at 435 nm, as well as for a single ion. The heating rate measured for the axial vibrational mode in the implemented trap is $8\times 10^3$ phonons/s.

Received: 23.05.2022
Revised: 04.06.2022
Accepted: 04.06.2022

DOI: 10.31857/S1234567822140026