https://doi.org/10.1140/epjd/s10053-023-00644-2
Regular Article – Quantum Optics
Quantum statistics and blockade of phonon and photon in a dissipative quadratically coupled optomechanical system
Laser and Optics Group, Faculty of Physics, Yazd University, 89195-741, Yazd, Iran
Received:
23
December
2022
Accepted:
27
March
2023
Published online:
16
April
2023
There exists a tight relation between single-phonon and -photon source devices with the phonon and photon blockade implementations. These sources possess significant practical applications in quantum information processing and engineering. In this paper, we present a scheme to investigate the quantum statistics, as well as the phonon and photon blockade phenomena in an optomechanical system with quadratic coupling whose cavity has a moving membrane that is placed in the node (or antinode) of the optomechanical cavity. Strong nonlinear interaction between the optical and mechanical modes is induced by a driving field through radiation pressure. Also, the effective coupling strength can be adjusted by controlling the amplitude of an external pump field. Using the obtained effective Hamiltonian, we examine the steady state equal-time second-order correlation function via solving the Lindblad master equation which includes optical and mechanical dissipation sources. Our numerical results show that, with suitable adjustment of the system feasible parameters, we can achieve sub-Poissonian behavior, and as a result, an acceptable degree of phonon blockade. While using the same parameters, for the photon blockade, we arrive at a moderate or even weakly degree of the blockade. It should be emphasized that, as is shown, it is possible to make the scenario vice versa. By this, we mean that one can use a set of parameters by which a high (low) degree of photon (phonon) blockade is occurred. Moreover, we present a set of parameters for an optimal simultaneous occurrence of moderate phonon and photon blockade.
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© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
