In a new study published in Science today, JILA and NIST (National Institute of Standards and Technology) Fellow Jun Ye and his research team have taken a significant step in understanding the intricate and collective light-atom interactions within atomic clocks, the most precise clocks in the universe.
Using a cubic lattice, the researchers measured specific energy shifts within the array of strontium-87 atoms due to dipole-dipole interactions. With a high density of atoms, these mHz-level frequency shifts—known as cooperative Lamb shifts—were spectroscopically studied. These shifts were studied spatially and compared with calculated values using imaging spectroscopy techniques developed in this experiment.
These cooperative Lamb shifts, named because the presence of many identical atoms in a tightly confining space modifies the electromagnetic mode structure around them, are an important factor as the numbers of atoms in clocks continue to grow.
“If you can understand and control these interactions at high density in this grid, you can always make the grid bigger and bigger,” explains JILA graduate student William Milner, the paper’s second author. “It’s an inherently scalable technology, important for improving clock performance.”
Time in a cube
Atomic clocks, long regarded as the pinnacle of precision, operate on the principle of measuring the frequency of light absorbed or emitted by atoms. Each tick of these clocks is governed by the oscillations of the quantum superposition of electrons within these atoms, stimulated by the corresponding energy from a probing laser. The laser excites the atoms into a quantum state known as the clock state.
While more traditional optical lattice clocks use a one-dimensional optical lattice, suppressing the atoms’ movements only along one strongly confining direction, the strontium quantum gas clock used in this study confined the atoms in all directions by placing them in a cubic arrangement. While using a 3D lattice is an attractive clock geometry, it also requires preparing an ultracold quantum gas of atoms and carefully loading them into the lattice.
“It’s more complicated, but it has some unique benefits as the system features more quantum properties,” Milner elaborates.
In quantum physics, the spatial arrangement of particles critically influences their behavior. With its uniformity and equilibrium, the cubic lattice created a controlled environment where atomic interactions were observable and manipulable with unprecedented precision.
Watching dipole-dipole interactions
Using the cubic lattice, Ross Hutson (a recent JILA Ph.D.graduate), Milner, and the other researchers in the Ye lab, were able to facilitate and measure the dipole-dipole interactions between the strontium atoms. These shifts, normally so small they are neglected, arise from collective interference between the atoms behaving as dipoles when they are prepared in a superposition of the two clock states.
Because the spatial ordering of the atoms within the cubic lattice influences the dipolar coupling, researchers could amplify or diminish the dipole interactions by manipulating the angle of the clock laser relative to the lattice. Operating at a special angle—the Bragg angle—the researchers expected strong constructive interference and observed a correspondingly larger frequency shift.
Looking at cooperative lamb shifts
With stronger dipole-dipole interactions occurring within the lattice, the researchers found that these interactions created local energy shifts throughout the clock system.
These energy shifts, or cooperative Lamb shifts, are very small effects that are normally hard to detect. When many atoms are grouped, such as in a cubic clock lattice, these shifts become a collective affair and are revealed by the newly achieved clock measurement precision. Left uncontrolled, they can affect the accuracy of atomic clocks.