  Non-Hermitian Hamiltonians can give rise to exceptional points (EPs) which
have been extensively explored with nominally identical coupled resonators.
Here a non-Hermitian electromechanical system is developed which hosts
vibration modes that differ massively in their spatial profile, frequency and
even the sign of their dissipation. An optomechanical-like parametric
modulation is employed to dynamically couple 2 of these disparate modes and in
the appropriate parameter regime their imaginary eigenvalues coalesce whilst
their normal modes split. The presence of this virtual EP is confirmed via
numerical simulations of the coupled equations of motions describing the
dynamics of this non-degenerate system. These results suggest that virtual EPs
can be accessed in systems composed from highly mismatched resonators whilst
still maintaining access to the non-trivial phenomenon in their proximity, as
recently demonstrated for topological operations, thus enabling non-Hermitian
singularities to be more widely exploited with realistic physical systems.

Mesoscale and Nanoscale Physics