Indirect strong coupling regime between a quantum emitter and a cavity mediated by a mechanical resonator

Kerr-like nonlinearities in an optomechanical system with an asymmetric anharmonic mechanical resonator

“…A hybrid system [41] composed of a quantized single mode of a mechanical resonator interacting linearly with both a single mode nanocavity and a two-level single quantum dot was studied in [42]. It was assumed that a linear coupling is between the nanocavity and the mechanical resonator as well as between the single-exciton quantum dot and the mechanical resonator, but there is no direct interaction between the nanocavity and the quantum dot.…”

“…This means that the original model makes it possible to achieve the indirect light-matter strong coupling through the mediation of vibration quanta. The effective Hamiltonian was obtained in [42] using a formal solution of the Schrodinger equation by means the evolution operator, its expansion in a series in the frame of perturbation theory and performing timeordering integration. The obtained effective Hamiltonian is the Hermitian one only when the cavity and exciton recombination frequencies are equal to each other [42].…”

“…A Hamiltonian of the hybrid tripartite system composed of a mechanical resonator interacting linearly with both a single mode nanocavity and a two-level single quantum dot [42] is…”

“…(18) There is no non-Hermitian contribution in the effective Hamiltonian obtained by means of the Bogoliubov averaging method. In the previous theoretical approach [42], the non-Hermitian term g am g cm (a † σ − − aσ + )bb † (1/∆ a − 1/∆ c ) appears and can be eliminated only at ω a = ω c . Our expressions are also correct at ω a = ω c for |ω a − ω c | < g am , g cm .…”

Quantum correlations between two cavity QED systems coupled by a mechanical resonator

“…Most of the works so far consider that phononic modes modulate the energies of quantum emitters and cavities [20]. Beyond the dispersive regime, other coupling mechanisms have been explored such as linear coupling [21] or by mechanical variation of the Rabi coupling rate [22,23]. In this work, we study a double quantum emitter-cavity system.…”