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Single trapped ion maps tiny electromagnetic fields above a chip

ETH Zurich researchers moved one laser-cooled beryllium ion through three dimensions to map electric and magnetic fields above a chip, detecting oscillating fields as small as 10 nanovolts per metre.

GCSE to A Level 10 min read 29 June 2026 Engineering Quantum Materials

What happened?

Researchers at ETH Zurich have turned a single trapped beryllium ion into a movable three-dimensional probe for electromagnetic fields above a chip. The ion could be positioned between 50 and 450 micrometres above the surface while scanning a 200 by 200 micrometre area.

The team used a microfabricated Penning trap. Static electric and magnetic fields confined the charged atom without the radio-frequency trapping field used by many other ion traps. Removing that extra oscillating field made tiny unwanted fields from the chip easier to identify.

After laser cooling the ion close to its lowest motional quantum state, the researchers moved it to a chosen point and waited. An oscillating stray electric field gradually increased the ion motion. Laser measurements of that changed motion revealed field amplitudes down to 10 nanovolts per metre in one second.

The simple version

An ion is an atom with a net electric charge. Because it is charged, an electric field exerts a force on it. If the field oscillates at a suitable frequency, the trapped ion responds by oscillating more strongly.

The ion therefore acts like an extremely small test charge. Move it to one position, measure its response, then repeat at many positions. Combining those measurements builds a three-dimensional field map.

The same probe can measure different field types in different ways. Static electric fields shift the ion position, oscillating electric fields heat its motion, and magnetic fields shift its quantum energy levels.

Worked equations

Force on the ion

F = qE

A larger charge or electric field produces a larger force.

  • Field units: 1 V/m = 1 N/C

Record field sensitivity

10 nV/m = 1.0 x 10^-8 V/m

The prefix nano means one billionth.

  • Prefix: 1 nV = 10^-9 V

Force at the sensitivity limit

F = (1.60 x 10^-19 C)(1.0 x 10^-8 N/C) = 1.6 x 10^-27 N

A singly charged beryllium ion has charge magnitude equal to the elementary charge.

  • Powers of ten: 10^-19 x 10^-8 = 10^-27
  • Units: C x N/C = N

Why it matters

Trapped ions can store quantum information, but unwanted electric-field noise can heat their motion and damage delicate quantum states. Engineers need to locate the source of that noise before they can choose better surface materials or manufacturing methods.

Previous measurements often sampled a line or relied on assumptions about fields produced by the trap itself. Moving the same ion through three dimensions and temporarily disconnecting outside voltage sources gives researchers a more direct way to compare competing explanations.

The method is also a new surface-science tool. Different regions of a test chip can be coated or manufactured differently, then scanned to find which surface produces the weakest electric noise.

Physics you already know

This is a direct application of electric fields and the force on a charge. The field is not visible, but its effect on a known test charge allows its magnitude and direction to be inferred.

The trapped ion behaves as an oscillator. A periodic driving field transfers energy into its motion, and the response becomes especially sensitive when the drive relates closely to a natural oscillation frequency.

Magnetic field measurement uses quantum energy levels. A magnetic field changes the energy separation between states, so carefully measured transition frequencies become a field sensor.

The work also demonstrates measurement sensitivity rather than ordinary accuracy alone. Detecting a tiny signal requires cooling, isolation, repeated measurements and a clear model connecting the observed ion motion to field strength.

electric fields magnetic fields ions force on a charge energy levels oscillations measurement sensitivity

Science ideas to understand

Three measurements in one probe

Ion deflection reveals static electric fields, motional heating reveals oscillating electric fields, and energy-level shifts reveal magnetic fields.

Why use one ion?

A single ion is small, has a precisely known charge and has quantum states that can be prepared and read with lasers. Those properties make it a calibrated local sensor.

Common misconception

The ion does not take a photograph of field lines. Researchers infer the field from measurable changes in position, motion and energy levels.

A Level stretch

A Penning trap combines a static magnetic field with shaped static electric fields. The magnetic field bends the ion motion while the electric potential confines it along another direction. This avoids a theorem that prevents stable three-dimensional confinement using only static electric fields.

Cooling the ion near its motional ground state reduces the background motion that could hide weak heating. The ion is not literally motionless; its lowest quantum state still has zero-point motion.

The quoted 10 nanovolts per metre is an oscillating-field amplitude detected in a one-second measurement. Sensitivity depends on measurement time, frequency, ion preparation and the noise of the readout.

A map is more informative than one number. Spatial patterns can help distinguish a local patch charge from a field entering through wiring or from noise spread across the surface.

Key words

Ion An atom or molecule with a net electric charge because it has gained or lost electrons.
Penning trap A device that confines charged particles using a combination of static electric and magnetic fields.
Electric-field noise Unwanted changes in electric field that can disturb or heat a sensitive charged system.
Motional ground state The lowest-energy quantum state of a trapped particle motion.
Sensitivity The smallest change or signal that a measuring system can reliably detect.

Quick pupil questions

How can one ion map an electric field?

Researchers move the charged ion to known positions and infer the local field from its deflection or from changes in its trapped oscillation.

What electric field did the trapped-ion sensor detect?

It detected an oscillating electric-field amplitude as small as 10 nanovolts per metre in a one-second measurement.

Why is electromagnetic noise a problem for quantum chips?

Stray fields can heat trapped ions and disturb the quantum states used for computing or sensing, increasing errors.

How does this link to A Level Physics?

It uses electric and magnetic fields, force on a charge, oscillations, resonance, energy levels, standard form and measurement sensitivity.