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Highly Sensitive Electric Field Sensing with Trapped Ions

New method measures electric fields using trapped ions for precise applications.

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Electric field sensing is an important area of research that has applications in many fields, including biology, physics, and technology. In this work, we discuss a new way to measure Electric Fields with high Sensitivity using a single trapped ion in a magnetic field.

Trapped Ions are atoms that have been electrically charged and are held in place using electric and Magnetic Fields. They have unique properties that make them suitable for precise measurements. One of these properties is that the energy levels of these ions can be manipulated by external influences, such as electric fields. This means that when an electric field is applied, it can change the energy levels of the spin states of the ion, allowing us to detect and measure the electric field strength.

Benefits of Using Trapped Ions

The use of trapped ions for electric field sensing is beneficial due to their long-lived spin states and their sensitivity to external electric fields. These ions can be cooled to very low temperatures, which helps to reduce noise and improve measurement accuracy. Additionally, the energy changes associated with the ions' spin states can be precisely controlled using microwaves, making it easier to perform measurements.

The Challenge of Measuring Electric Fields

While trapped ions have many advantages, there are some challenges in measuring electric fields. Specifically, the connection between the spin states of the ions and the electric fields is not very strong. This means that the sensitivity of the ion to changes in the electric field is limited. To improve sensitivity, we can use a magnetic field gradient, which can amplify the effects of electric fields on the ion's spin states.

How It Works

In our setup, an ion is trapped using an electric field and is held in place while a magnetic field gradient is applied. This magnetic gradient causes the ion to move slightly when an electric field is turned on. As the ion moves, the difference in energy levels of its spin states changes. By measuring this change, we can determine the strength of the electric field.

When an external electric field is applied, it exerts a force on the ion, causing it to shift from its original position. This shift leads to an energy level change in the spin states of the ion, enabling us to measure the electric field more accurately.

Sensitivity of the Sensor

We have developed a quantum sensor that demonstrates impressive sensitivity in detecting both alternating current (AC) and direct current (DC) electric fields. Our measurements show that we can detect very small signals with a minimum detectable electric field strength.

For AC fields, our measurements reach very low sensitivity levels at specific signal frequencies, while for DC fields, we can also measure strengths at similar levels. The sensitivity achieved is greater than what other current technologies can provide, allowing for more accurate electric field measurements.

Applications

The ability to measure electric fields with high sensitivity can have a wide range of applications. For instance, in medicine, it can help with imaging techniques that monitor electrical activity in biological tissues. In meteorology, it can be useful for tracking electrical signals associated with lightning. In geology, it can help detect features beneath the earth's surface, as fluctuations in electric fields may indicate different structures or materials.

Key Elements of the Experimental Setup

To achieve these precise measurements, specific components and techniques were employed:

  1. Ion Trap Configuration: The ions are held in a specifically designed radio-frequency (RF) trap. This trap uses segmented electrodes to confine the ion in both axial and radial directions.

  2. Cooling Techniques: The ions are cooled using lasers. Doppler cooling is a method that reduces the thermal motion of the ions, providing a stable environment for measurements.

  3. Microwave Control: External microwave signals are used to manipulate the spin states of the ion. By applying precise microwave pulses, we can control the energy levels and enhance sensitivity.

  4. Electric Field Injection: The electric fields used for measurements are applied through specially designed electrodes, which allow us to test the sensor without introducing too much noise.

  5. Data Acquisition and Processing: Measurements are taken over many trials to ensure accuracy and statistical significance.

Future Improvements

While the current setup shows great potential, there are opportunities for further enhancements. For instance, new materials could improve the performance of the electrodes, and optimizing the design of the ion trap could extend the range of detectable frequencies. Additionally, using other types of ions with higher charge-to-mass ratios could further increase the sensitivity of the measurements.

Conclusion

Ultrasensitive electric field measurements using trapped ions present a cutting-edge approach to sensing. By leveraging the properties of trapped ions and magnetic field gradients, we can measure electric fields with unmatched precision.

This work opens the door for future applications in various fields, ultimately allowing researchers and practitioners to gather more accurate data and improve technologies reliant on electric field measurements. The continued development of quantum sensors will enhance our capabilities in numerous scientific disciplines, paving the way for innovative advancements.

Original Source

Title: Ultrasensitive single-ion electrometry in a magnetic field gradient

Abstract: Hyperfine energy levels in trapped ions offer long-lived spin states. In addition, the motion of these charged particles couples strongly to external electric field perturbations. These characteristics make trapped ions attractive platforms for the quantum sensing of electric fields. However, the spin states do not exhibit a strong intrinsic coupling to electric fields. This limits the achievable sensitivities. Here, we amplify the coupling between electric field perturbations and the spin states by using a static magnetic field gradient. Displacements of the trapped ion resulting from the forces experienced by an applied external electric field perturbation are thereby mapped to an instantaneous change in the energy level splitting of the internal spin states. This gradient mediated coupling of the electric field to the spin enables the use of a range of well-established magnetometry protocols for electrometry. Using our quantum sensor, we demonstrate AC sensitivities of $\mathrm{S^{AC}_{min}=960(10)\times 10^{-6}~V m^{-1}Hz^{-\frac{1}{2}}}$ at a signal frequency of $\omega_{\epsilon}/2\pi=5.82~\mathrm{Hz}$, and DC sensitivities of $\mathrm{S^{DC}_{min}=1.97(3)\times 10^{-3} ~V m^{-1}Hz^{-\frac{1}{2}}}$ with a Hahn-echo type sensing sequence. We also employ a rotating frame relaxometry technique, with which our quantum sensor can be utilised as an electric field noise spectrum analyser. We measure electric field signals down to a noise floor of $\mathrm{S_{E}(\omega)=6.2(5)\times 10^{-12}~V^2 m^{-2}Hz^{-1}}$ at a frequency of $\mathrm{30.0(3)~kHz}$. We therefore demonstrate unprecedented electric field sensitivities for the measurement of both DC signals and AC signals across a frequency range of sub-Hz to $\sim\mathrm{500~kHz}$. Finally, we describe a set of hardware modifications that are capable of achieving a further improvement in sensitivity by up to six orders of magnitude.

Authors: F. Bonus, C. Knapp, C. H. Valahu, M. Mironiuc, S. Weidt, W. K. Hensinger

Last Update: 2024-06-23 00:00:00

Language: English

Source URL: https://arxiv.org/abs/2406.08424

Source PDF: https://arxiv.org/pdf/2406.08424

Licence: https://creativecommons.org/licenses/by/4.0/

Changes: This summary was created with assistance from AI and may have inaccuracies. For accurate information, please refer to the original source documents linked here.

Thank you to arxiv for use of its open access interoperability.

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