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Detail publikace
Qvarfort, S Serafini, A Xuereb, A Braun, D Ratzel, D Bruschi, DE.
Originální název
Time-evolution of nonlinear optomechanical systems: interplay of mechanical squeezing and non-Gaussianity
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
angličtina
Originální abstrakt
We solve the time evolution of a nonlinear optomechanical Hamiltonian with arbitrary time-dependent mechanical displacement, mechanical single-mode squeezing and a time-dependent optomechanical coupling up to the solution of two second-order differential equations. The solution is based on identifying a minimal and finite Lie algebra that generates the time-evolution of the system. This reduces the problem to considering a finite set of coupled ordinary differential equations of real functions. To demonstrate the applicability of our method, we compute the degree of non-Gaussianity of the time-evolved state of the system by means of a measure based on the relative entropy of the non-Gaussian state and its closest Gaussian reference state. We find that the addition of a constant mechanical squeezing term to the standard optomechanical Hamiltonian generally decreases the overall non-Gaussian character of the state. For sinusoidally modulated squeezing, the two second-order differential equations mentioned above take the form of the Mathieu equation. We derive perturbative solutions for a small squeezing amplitude at parametric resonance and show that they correspond to the rotating-wave approximation at times larger than the scale set by the mechanical frequency. We find that the non-Gaussianity of the state increases with both time and the squeezing parameter in this specific regime.
Klíčová slova
optomechanics; nonlinear optomechanics; quantum optomechanics; non-Gaussianity; squeezing
Autoři
Qvarfort, S ; Serafini, A; Xuereb, A; Braun, D; Ratzel, D; Bruschi, DE.
Vydáno
21. 2. 2020
Nakladatel
IOP PUBLISHING LTD
Místo
BRISTOL
ISSN
1751-8113
Periodikum
Journal of Physics A-Mathematical and Theoretical
Ročník
53
Číslo
7
Stát
Spojené království Velké Británie a Severního Irska
Strany od
075304-1
Strany do
075304-40
Strany počet
40
URL
https://iopscience.iop.org/article/10.1088/1751-8121/ab64d5