In traditional research, chaos is frequently accompanied by nonlinearity, which typically stems from nonlinear interactions or external driving forces. However, in this paper, we present the chaotic behavior that is completely attributed to the nonlinear back-reaction of the non-Markovian environment. To be specific, we derive the dynamical equations of an optomechanical system and demonstrate that the nonlinearity (cause of chaos) in the equations arises entirely from the time-domain convolutions (TDCs) induced by non-Markovian corrections. Under Markovian conditions, these TDCs are reduced into constants, thereby losing the nonlinearity and ultimately leading to the disappearance of chaos. Furthermore, we also observe chaos generation in the absence of optomechanical couplings, which further confirms that the non-Markovian effect is the sole inducement of chaos and the environmental parameters play important roles in the generation of chaos. We hope these results may open a new direction to investigate chaotic dynamics purely caused by non-Markovian environments.

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• Chaos
• Optomechanics
• Non-Markovian processes