Phys. Rev. Lett. 134, 223601 #
New article! In this work, we use bifurcation theory to reveal how a limit cycle instability in an experimental quantum system gives rise to a Neimark–Sacker bifurcation, eventually resulting in the formation of a limit torus. Here are the details:
Torus Bifurcation of a Dissipative Time Crystal #
Jayson G. Cosme, Phatthamon Kongkhambut, Anton Bölian, Richelle Jade L. Tuquero, Jim Skulte, Ludwig Mathey, Andreas Hemmerich, Hans Keßler
Schematic diagram of the atom-cavity system and its phase diagram.
Abstract
Using a quantum gas setup consisting of a Bose-Einstein condensate strongly coupled to a high-finesse optical cavity by a transverse pump laser, we experimentally observe an instability of a dissipative continuous time crystal (CTC) towards a time crystalline state exhibiting two prominent oscillation frequencies. Applying a mean-field approximation model and a Floquet analysis, we theoretically confirm that this transition is a manifestation in a many-body system of a torus bifurcation between a limit cycle (LC) and a limit torus (LT). We theoretically illustrate the LC and LT attractors using the minimal model and experimentally reconstruct them using Takens’ embedding theorem applied to the non-destructively measured intracavity photon dynamics.
The paper can be accessed through this link: https://doi.org/10.1103/PhysRevLett.134.223601