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Quantum simulation & computing

Sr Cryo Lab

We hold single strontium-88 atoms in optical tweezers inside a cryogenically pumped vacuum chamber, with all objectives outside the glass cell at room temperature.

Fluorescence image in blue on a light background: a round cloud of many thousands of single strontium atoms in an optical lattice.
Fluorescence image of single strontium atoms in a large optical lattice in our cryogenic apparatus. Image: Quantum Munich

Can a simple cryogenic apparatus hold large strontium atom arrays for hours and turn them into a quantum simulator for XXZ magnets?

The platform

Our apparatus combines a commercial strontium oven, an ultra-high-vacuum chamber made mostly of grade 2 titanium, a fused-silica glass cell and a closed-cycle cryostat. Its cold tip reaches 4 K inside the vacuum, about 30 cm from the atoms. An 813 nm laser and a spatial light modulator form a 16 × 16 tweezer array with 4 µm spacing. An objective with a numerical aperture of 0.65 focuses the tweezers and collects the fluorescence for imaging. All objectives sit outside the glass cell, so we use standard commercial optics.

Two hours in a tweezer

Large atom arrays are assembled by sorting, which takes longer as the arrays grow, so the atoms must stay trapped for a long time. In ultra-high vacuum this time is set mainly by collisions with hydrogen released from the chamber walls. Other cryogenic machines enclose the atoms in a 4 K environment. We instead use a single cold tip about 30 cm away that pumps hydrogen from a distance. The glass cell stays at room temperature, so the objectives sit outside the vacuum with full optical access, and the apparatus remains simple.

With the cryostat running and short cooling pulses, single atoms live in the tweezers for more than 7000 s, about two hours. Because the cold tip is far from the atoms, neither direct nor stray tweezer light reaches it. The lifetime even grows with deeper traps, so we can send in more trapping power without disturbing the cryogenic operation.

Left: computer rendering of the vacuum apparatus with the strontium oven, ion pumps and getters, pressure gauge, cold tip at 4 K and glass cell, coloured by material. Right: single-atom survival probability against hold time up to 2000 s on a logarithmic scale, with fitted lifetimes of 779 s without cooling, 1218 s with continuous Sisyphus cooling, 7028 s with pulsed Sisyphus cooling and 7977 s with pulsed sideband cooling.Enlarge (opens the full-size figure)
Left: the vacuum apparatus, coloured by the material of its inner surfaces, with the cold tip at 4 K about 30 cm from the glass cell. Right: survival of single atoms against hold time with the cryostat running, without cooling and with three cooling schemes (preprint). Adapted from Kumar et al., arXiv:2607.12988 (2026), Figs. 1 and 2 (preprint) · arXiv.org perpetual, non-exclusive licence

Scaling up with a bowtie lattice

To build much larger arrays, we have added a large optical lattice in a bowtie configuration, in which one laser beam is folded so that it crosses the glass cell twice and forms a two-dimensional lattice. Our goal is to hold about 100,000 atoms while keeping the long lifetimes of the cryogenic system. The image at the top of this page shows atoms in this lattice.

The lattice acts as a stationary reservoir. Movable tweezers pick atoms from it and sort them into a large, ordered array in a central computation zone, where they can be used for quantum computing and quantum simulation.

Left: schematic of a laser beam folded by mirrors so that it crosses a glass cell twice in a bowtie shape. Right: simulated atom positions, with a regular square array in the centre labelled computation zone and four crescent-shaped clouds of atoms around it labelled atom reservoir, and an arrow labelled sorting.Enlarge (opens the full-size figure)
Left: the bowtie lattice beam crosses the glass cell twice. Right: simulation of sorting, in which tweezers fill a regular array in the computation zone with atoms from the surrounding reservoir. Schematic and simulation: Sr Cryo Lab, MPQ

Circular Rydberg states for XXZ magnets

With these tools we plan to build a large-scale quantum simulator for the XXZ spin model. The spins are circular Rydberg states, in which the outer electron moves on a large circular orbit with the maximum possible angular momentum. Atoms in these states interact through strong exchange, which gives rise to the XXZ couplings.

Strontium has two valence electrons. When one is promoted to a circular orbit, the other stays with the ion core and keeps its own optical transitions. Because the circular electron never comes close to the core, the two can be controlled independently: the Rydberg electron stores a microwave qubit, and the core electron reads it out optically, atom by atom.

Circular Rydberg atoms are also promising for quantum computing. Each atom carries a microwave qubit, in the frequency range of superconducting qubits, and an optical qubit on the ion core, in the range used with trapped ions and neutral atoms, so it can act as a bridge between the two.

Left: a three by four array of atoms in tweezers, each surrounded by a circular orbit. Middle: level scheme of the strontium ion core with an optical qubit between 5s 2S1/2 and 4d 2D5/2 at about 400 terahertz and readout via 5p 2P1/2. Right: level scheme of a microwave qubit between the circular Rydberg states with n equal to 100 and 102, at about 6 gigahertz.Enlarge (opens the full-size figure)
An array of circular Rydberg atoms (left). Each atom holds an optical qubit on the Sr⁺ core, read out on a separate optical transition (middle), and a microwave qubit between two circular Rydberg states (right). Schematic: Sr Cryo Lab, MPQ

Research directions

A next step is to enlarge the area held at 4 K, for example with a shield on the cold tip or activated charcoal, which should extend both the lifetime and the time between regenerations. Long storage without cooling should let us keep atoms in the metastable ³P₀ and ³P₂ states for longer. With more time for sorting, we expect to assemble defect-free arrays of several tens of thousands of atoms. The open optical access leaves room for large-field-of-view objectives.

Selected results & publications

A cryogenic neutral-atom platform with full optical access and 2-hour trap lifetimearXiv:2607.12988 (2026) · Preprint

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Methods and topics: Cryogenic vacuum systems, Optical tweezers, Optical lattices, Circular Rydberg states, Strontium laser cooling, Single-atom detection.

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