  The prospect of a system possessing two or more stable states for a given
excitation condition is of topical interest with applications in information
processing networks. In this work, we establish the remote transfer of
bistability from a nonlinear resource in a dissipatively coupled two-mode
system. As a clear advantage over coherently coupled settings, the dissipative
nature of interaction is found to support a lower pumping threshold for
bistable signals. For comparable parameters, the bistability threshold for
dissipatively coupled systems is lower by a factor of about five. The resulting
hysteresis can be studied spectroscopically by applying a probe field through
the waveguide and examining the polariton character of the transmitted field.
Our model is generic, apropos of an extensive set of quantum systems, and we
demonstrate our results in the context of magnonics where experimental interest
has flourished of late. As a consequence of dissipative coupling and the
nonlinearity, a long-lived mode emerges, which is responsible for heightened
transmission levels and pronounced sensitivity in signal propagation through
the fiber.
