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Quantum chaos is an intriguing topic and has attracting a great deal ofinterests in quantum mechanics and black hole physics. Recently, theexponential growth of out-of-time-ordered correlator (OTOC) has been proposedto diagnose quantum chaos and verify the correspondence principle. Here, wedemonstrate that the exponential growth of the OTOC at early times for theinitial states centered both in the chaotic and stable regions of theanisotropic quantum Rabi model. We attribute the exponential growth of the OTOCto quantum collapse which provides a novel mechanism of yielding exponentialgrowth of the OTOC in quantum systems. Moreover, the quantum collapse effect ismore obvious for the initial states centered in the chaotic one. Our resultsshow that compared with the OTOC, the linear entanglement entropy and Loschmidtecho seem to be more effective to diagnose the signals of quantum chaos in theanisotropic quantum Rabi model.

Quantum collapse and exponential growth of out-of-time-ordered correlator in anisotropic quantum Rabi model