Stability via symmetry breaking in interacting driven systems
- URL: http://arxiv.org/abs/2307.16743v1
- Date: Mon, 31 Jul 2023 15:07:07 GMT
- Title: Stability via symmetry breaking in interacting driven systems
- Authors: Andrew Pocklington, Aashish A. Clerk
- Abstract summary: Photonic and bosonic systems subject to incoherent, wide-bandwidth driving cannot typically reach stable finite-density phases using only non-dissipative Hamiltonian nonlinearities.
We describe here a very general mechanism for circumventing this common limit, whereby Hamiltonian interactions can cut-off heating from a Markovian pump.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: Photonic and bosonic systems subject to incoherent, wide-bandwidth driving
cannot typically reach stable finite-density phases using only non-dissipative
Hamiltonian nonlinearities; one instead needs nonlinear losses, or a finite
pump bandwidth. We describe here a very general mechanism for circumventing
this common limit, whereby Hamiltonian interactions can cut-off heating from a
Markovian pump, by effectively breaking a symmetry of the unstable, linearized
dynamics. We analyze two concrete examples of this mechanism. The first is a
new kind of $\mathcal{PT}$ laser, where Hermitian Hamiltonian interactions can
move the dynamics between the $\mathcal{PT}$ broken and unbroken phases and
thus induce stability. The second uses onsite Kerr or Hubbard type interactions
to break the chiral symmetry in a topological photonic lattice, inducing exotic
phenomena from topological lasing to the stabilization of Fock states in a
topologically protected edge mode.
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