Corpus ID: 237941104

Exact solutions of interacting dissipative systems via weak symmetries

  title={Exact solutions of interacting dissipative systems via weak symmetries},
  author={Alexander McDonald and Aashish A Clerk},
  • Alexander McDonald, A. Clerk
  • Published 27 September 2021
  • Physics
We demonstrate how the presence of continuous weak symmetry can be used to analytically diagonalize the Liouvillian of a class Markovian dissipative systems with arbitrary strong interactions or nonlinearity. This enables an exact description of the full dynamics and dissipative spectrum. Our method can be viewed as implementing an exact, sector-dependent mean-field decoupling, or alternatively, as a kind of quantum-to-classical mapping. We focus on two canonical examples: a nonlinear bosonic… Expand

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