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Higher-order quantum dynamics of a generic quadratically-coupled optomechanical system: entanglement, antibunching and spin squeezing

Mukherjee K., Jana P. C.

Optica Applicata

2017

Vol. 47, nr 4

651--663

To investigate the existence of higher-order intermodal entanglement, higher-order single-mode antibunching, higher-order intermodal antibunching and spin squeezing, a first order analytic operator solution of the Hamiltonian of quadratically-coupled optomechanical system is constructed using short time approximation for different field modes. Temporal variations of these nonclassical properties under different coupling strengths are studied, neglecting the effect of optical losses, environmental effects and also dissipation. With an increasing order number, the depth of these nonclassical properties is increased. Spin squeezed states are observed in any direction, i.e., either in Sx or Sy direction.