Generalized master equation for driven quantum oscillators: microscopic origin of nonlinear dissipation and asymmetric resonances

• URL: http://arxiv.org/abs/2605.08021v1
• Date: Fri, 08 May 2026 17:09:18 GMT
• Title: Generalized master equation for driven quantum oscillators: microscopic origin of nonlinear dissipation and asymmetric resonances
• Abstract summary: Driven nonlinear quantum oscillators are a central platform for quantum technologies.<n>Our results establish a microscopic framework in which nonlinear dynamics and driving directly reshape the dissipative sector of driven open quantum systems.
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• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Driven nonlinear quantum oscillators are a central platform for quantum technologies, yet their dissipative dynamics are typically described using Lindblad or Caldeira-Leggett master equations derived under assumptions that exclude nonlinearities and driving. Here, we derive a generalized Caldeira-Leggett master equation for driven nonlinear oscillators by retaining the full nonlinear and time-dependent system dynamics in the construction of the dissipator. For position- and momentum-dependent system-bath coupling, the dissipator itself becomes dynamically dressed, generating nonlinear and drive-dependent dissipative channels beyond conventional fixed-dissipator approaches. This produces nonlinear damping together with dissipation-induced corrections to the effective drive. The resulting dissipative dynamics suppress large-amplitude excitations and reduce phase-space fluctuations. For a driven Kerr oscillator, this leads to the suppression of bistability, asymmetric resonance responses, and strongly modified fluctuation distributions. More broadly, our results establish a microscopic framework in which nonlinear dynamics and driving directly reshape the dissipative sector of driven open quantum systems.

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