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Master-equation treatment of nonlinear optomechanical systems with optical loss

Qvarfort, S; Vanner, MR; Barker, PF; Bruschi, DE; (2021) Master-equation treatment of nonlinear optomechanical systems with optical loss. Physical Review A , 104 (1) , Article 013501. 10.1103/PhysRevA.104.013501. Green open access

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Abstract

Open-system dynamics play a key role in the experimental and theoretical study of cavity optomechanical systems. In many cases, the quantum Langevin equations have enabled excellent models for optical decoherence, yet a master-equation approach to the fully nonlinear optomechanical Hamiltonian has thus far proven more elusive. To address this outstanding question and broaden the mathematical tool set available, we derive a solution to the Lindblad master equation that models optical decoherence for a system evolving with the nonlinear optomechanical Hamiltonian. The method combines a Lie-algebra solution to the unitary dynamics with a vectorization of the Lindblad equation, and we demonstrate its applicability by considering the preparation of optical cat states via the optomechanical nonlinearity in the presence of optical loss. Our results provide a direct way of analytically assessing the impact of optical decoherence on the optomechanical intracavity state.

Type: Article
Title: Master-equation treatment of nonlinear optomechanical systems with optical loss
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/PhysRevA.104.013501
Publisher version: https://doi.org/10.1103/PhysRevA.104.013501
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher's terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy
URI: https://discovery.ucl.ac.uk/id/eprint/10131253
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