Topological synchronization of quantum van der Pol oscillators
- URL: http://arxiv.org/abs/2208.01061v2
- Date: Wed, 12 Apr 2023 19:12:26 GMT
- Title: Topological synchronization of quantum van der Pol oscillators
- Authors: Christopher W. W\"achtler, Gloria Platero
- Abstract summary: Boundary synchronization emerges in the classical mean field as well as the quantum model.
Our work extends the notion of topology to the general nonlinear dynamics and open quantum system realm.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: To observe synchronization in a large network of classical or quantum systems
demands both excellent control of the interactions between the nodes and very
accurate preparation of the initial conditions due to the involved
nonlinearities and dissipation. This limits the applicability of this
phenomenon for future devices. Here, we demonstrate a route towards
significantly enhancing the robustness of synchronized behavior in open
nonlinear systems that utilizes the power of topology. In a lattice of quantum
van der Pol oscillators with topologically motivated couplings, boundary
synchronization emerges in the classical mean field as well as the quantum
model. In addition to its robustness against disorder and initial state
perturbations, the observed dynamics is independent of the underlying
topological insulator model provided the existence of zero-energy modes. Our
work extends the notion of topology to the general nonlinear dynamics and open
quantum system realm with applications to networks where specific nodes need
special protection like power grids or quantum networks.
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