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Abstract
A time crystal is a macroscopic quantum system in periodic motion in its ground state. In our experiments, two coupled time crystals consisting of spin-wave quasiparticles (magnons) form a macroscopic two-level system. The two levels evolve in time as determined intrinsically by a nonlinear feedback, allowing us to construct spontaneous two-level dynamics. In the course of a level crossing, magnons move from the ground level to the excited level driven by the Landau-Zener effect, combined with Rabi population oscillations. We demonstrate that magnon time crystals allow access to every aspect and detail of quantum-coherent interactions in a single run of the experiment. Our work opens an outlook for the detection of surface-bound Majorana fermions in the underlying superfluid system, and invites technological exploitation of coherent magnon phenomena – potentially even at room temperature.
Recent work has reported a realization of a time crystal in the form of the Bose-Einstein condensate of magnons in superfluid 3He. Here, the authors study the dynamics of a pair of such quantum time crystals and show that it closely resembles the evolution of a two-level system, modified by nonlinear feedback.
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1 Aalto University, Low Temperature Laboratory, Department of Applied Physics, Aalto, Finland (GRID:grid.5373.2) (ISNI:0000000108389418); Lancaster University, Department of Physics, Lancaster, UK (GRID:grid.9835.7) (ISNI:0000 0000 8190 6402)
2 Aalto University, Low Temperature Laboratory, Department of Applied Physics, Aalto, Finland (GRID:grid.5373.2) (ISNI:0000000108389418); Royal Holloway University of London, Department of Physics, Egham, UK (GRID:grid.4970.a) (ISNI:0000 0001 2188 881X)
3 Aalto University, Low Temperature Laboratory, Department of Applied Physics, Aalto, Finland (GRID:grid.5373.2) (ISNI:0000000108389418)
4 Aalto University, Low Temperature Laboratory, Department of Applied Physics, Aalto, Finland (GRID:grid.5373.2) (ISNI:0000000108389418); L.D. Landau Institute for Theoretical Physics, Moscow, Russia (GRID:grid.436090.8) (ISNI:0000 0001 2299 7671)