Competition between two-photon driving, dissipation and interactions in bosonic lattice models: an exact solution

• URL: http://arxiv.org/abs/2208.05451v1
• Date: Wed, 10 Aug 2022 17:11:59 GMT
• Title: Competition between two-photon driving, dissipation and interactions in bosonic lattice models: an exact solution
• Authors: David Roberts, Aashish Clerk
• Abstract summary: We present an exact solution in arbitrary dimensions for the steady states of a class of quantum driven-dissipative bosonic models. Our solutions reveal a wealth of striking phenomena, including the emergence of dissipative phase transitions.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We present an exact solution in arbitrary dimensions for the steady states of a class of quantum driven-dissipative bosonic models, where a set of modes is subject to arbitrary two-photon driving, single-photon loss and a global Hubbard (or Kerr)-like interaction. Our solutions reveal a wealth of striking phenomena, including the emergence of dissipative phase transitions, nontrivial mode competition physics and symmetry breaking, and the stabilization of many-body $SU(1,1)$ pair coherent states. Our exact solutions enable the description of spatial correlations, and are fully valid in regimes where traditional mean-field and semiclassical approaches break down.

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