TY - JOUR
T1 - Quantum nonlinear dynamics of optomechanical systems in the strong-coupling regime
AU - Machado, J. D.P.
AU - Blanter, Ya M.
PY - 2016/12/16
Y1 - 2016/12/16
N2 - With an increasing coupling between light and mechanics, nonlinearities begin to play an important role in optomechanics. We solve the quantum dynamics of an optomechanical system in the multiphoton strong-coupling regime retaining nonlinear terms. This is achieved by performing a Schrieffer-Wolff transformation on the Hamiltonian including driving terms. The approach is valid away from the red- and blue-sideband drive. We show that the mechanical resonator displays self-sustained oscillations in regimes where the linear model predicts instabilities and that the amplitude of these oscillations is limited by the nonlinear terms. Related oscillations of the photon number are present due to frequency mixing of the shifted mechanical and cavity frequencies. This leads to additional peaks in the cavity's spectral density. Furthermore, we show that it is possible to create phonon states with sub-Poissonian statistics when the system is red detuned. This result is valid even with strong driving and with initial coherent states.
AB - With an increasing coupling between light and mechanics, nonlinearities begin to play an important role in optomechanics. We solve the quantum dynamics of an optomechanical system in the multiphoton strong-coupling regime retaining nonlinear terms. This is achieved by performing a Schrieffer-Wolff transformation on the Hamiltonian including driving terms. The approach is valid away from the red- and blue-sideband drive. We show that the mechanical resonator displays self-sustained oscillations in regimes where the linear model predicts instabilities and that the amplitude of these oscillations is limited by the nonlinear terms. Related oscillations of the photon number are present due to frequency mixing of the shifted mechanical and cavity frequencies. This leads to additional peaks in the cavity's spectral density. Furthermore, we show that it is possible to create phonon states with sub-Poissonian statistics when the system is red detuned. This result is valid even with strong driving and with initial coherent states.
UR - http://resolver.tudelft.nl/uuid:a3094d8a-0f33-42d3-8d45-a61e851435fb
UR - http://www.scopus.com/inward/record.url?scp=85006782584&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.94.063835
DO - 10.1103/PhysRevA.94.063835
M3 - Article
AN - SCOPUS:85006782584
SN - 2469-9926
VL - 94
JO - Physical Review A: covering atomic, molecular, and optical physics and quantum information
JF - Physical Review A: covering atomic, molecular, and optical physics and quantum information
IS - 6
M1 - 063835
ER -