Mathey_group @MatheyGroup

Deep dive into the relation of quantum and non-linear dynamics: arxiv.org/abs/2605.24122 . Using a hidden Markov model, we watch the quantum system escape from one limit cycle to another. It's quantum escape, expanding the idea of quantum jumps, explored with Caro and Kilian!

Controlling quantum dynamics via circuits, as a new way to design Hamiltonians on demand : arxiv.org/abs/2606.17158 . We point out how to taylor quantum dynamics with a sequence of quantum gates and free evolution, avoiding Floquet heating. Many thanks to Özgün and Martin!

Optimal control of quantum dynamics aims to implement quantum algorithms in realistic systems. Our algorithm arxiv.org/abs/2607.24725 navigates the fidelity landscape by not taking steps up the hill, but jumping to the top! Gradient- and hyperparameter-free. Many thanks to Lia!

Quantum liquids display quantum behavior on macroscopic scales, such as quantized vortices. In pnas.org/doi/10.1073/pn… we demonstrate how to make quantized vortices on-demand. It's been a great collaboration with Vijay as the lead author, and with Herwig and Luigi!

Here is our tutorial-like retrospective of time crystals, a form of quantum matter in motion: arxiv.org/abs/2605.23881 It's been a fun ride, written with Jayson, on our long-time collaboration with Andreas and his team. Time crystals, three ways, enjoy!

Atomic Josephson parametric amplifier journals.aps.org/prresearch/abs… #atomtronics @NIST @JQInews @JILAscience

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Superconductivity continues to be a focal point of research, from fundamentals to qubits. The U(1) lattice gauge system is one of these iconic models, here is our take on the phase transition: arxiv.org/abs/2603.09895 , where we clarified the critical behavior. Great work, Greta!

To develop quantum technologies we need new numerical methods, here is our latest: arxiv.org/abs/2603.04066 . It uses quantum jumps in the quantum technology-relevant regime, nicely developed by Marcus. You can pair it with any dynamics method, get in touch if you'd like to try.

How to make a topological superfluid in a driven cavity, and get a first-order phase transition in the process: arxiv.org/abs/2603.03034 . It's been fun figuring this out with Hannah, thanks to her work and dedication!

📢New publication on "Realizing an atomic quantum interference device in a rotating-box potential" by CUI member L. Mathey @unihh @TIIuae @PhysRevLett @MatheyGroup journals.aps.org/prresearch/abs…

Great article by Andrea on our Shapiro steps: Physics - Stepwise Quantum Tunneling Seen in Ultracold Atoms physics.aps.org/articles/v18/1…

Excited to have our study on Shapiro steps out: Observation of Shapiro steps in an ultracold atomic Josephson junction | Science science.org/doi/10.1126/sc…

Designing material properties by putting them into a cavity is promising route of material design. Recent study with Hector on cavity control of Raman-active matter: arxiv.org/abs/2511.08586

Making vortex rings in a condensate, via Shapiro dynamics: arxiv.org/abs/2511.05645 , joint study with Vijay, Luigi, and Herwig. Looks a little like smoke rings!

Dial up the tunneling, between two Bose-Einstein condensates, and see the phases order! Recently demonstrated in collaboration with Chris' team and Vijay, here: arxiv.org/abs/2510.23600

A new platform to push next-gen electronics towards quantum coherence, patterned graphene nanoribbons: arxiv.org/abs/2510.08678 . Patterned electrodes provide control of the band structure to enable coherent electronics. Riek and Hector, this was fun!

Tunneling is one of these quintessential, unintuitive quantum phenomena: particles overcoming barriers that they don't have the energy for, from a classical perspective. With Herwig and his team, and with Vijay and Luigi, we took a closer look, see here: arxiv.org/abs/2509.03591

📣New publication by CUI member L. Mathey et al. on "Observation of a bilayer superfluid with interlayer coherence" nature.com/articles/s4146… @MatheyGroup @NatureComms

Our latest work is out in Nat. Commun! We report the first observation of tunnelling-assisted superfluidity in bilayer 2D quantum gases - a robust platform for quantum simulation, from superconductors to QCD. Great collaboration with @unihh & @TIIuae. nature.com/articles/s4146…