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Emerging Non-Hermitian Topology in a Chiral-Driven-Dissipative Bose-Hubbard Model
Laszlo Rassaert1, Tomás Ramos2, Tommaso Roscilde1
1Ens de Lyon, Laboratory of Physics, University of Lyon, CNRS, Lyon, France.
None:
We introduce a driven-dissipative Bose-Hubbard chain describing coupled lossy photonic modes, in which time-reversal symmetry is broken by a coherent drive with a uniform phase gradient. We investigate this model by means of a Gaussian variational ansatz and numerically prove that the steady-state solution is stabilized by an inhomogeneous profile of the driving amplitude, which damps out boundary effects. Our calculations unveil a nonequilibrium phase diagram showing low- and high-density phases for photons separated by a phase coexistence region in which the system exhibits the phenomenon of topological amplification and is characterized by a finite non-Hermitian winding number. Our Letter shows the emergence of non-Hermitian topological phases in an interacting model that can be naturally implemented with superconducting circuits.
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