Quantum collapse and exponential growth of out-of-time-ordered
correlator in anisotropic quantum Rabi model
- URL: http://arxiv.org/abs/2305.17495v2
- Date: Wed, 31 May 2023 04:42:14 GMT
- Title: Quantum collapse and exponential growth of out-of-time-ordered
correlator in anisotropic quantum Rabi model
- Authors: Shangyun Wang, Songbai Chen, Jiliang Jing, Jieci Wang, Heng Fan
- Abstract summary: We show that the exponential growth of the out-of-time-ordered correlator (OTOC) at early times for the initial states centered both in the chaotic and stable regions of the anisotropic quantum Rabi model.
We attribute the exponential growth of the OTOC to quantum collapse which provides a novel mechanism of yielding exponential growth of the OTOC in quantum systems.
Our results show that compared with the OTOC, the linear entanglement entropy and Loschmidt echo seem to be more effective to diagnose the signals of quantum chaos in the anisotropic quantum Rabi model.
- Score: 10.967081346848687
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Quantum chaos is an intriguing topic and has attracting a great deal of
interests in quantum mechanics and black hole physics. Recently, the
exponential growth of out-of-time-ordered correlator (OTOC) has been proposed
to diagnose quantum chaos and verify the correspondence principle. Here, we
demonstrate that the exponential growth of the OTOC at early times for the
initial states centered both in the chaotic and stable regions of the
anisotropic quantum Rabi model. We attribute the exponential growth of the OTOC
to quantum collapse which provides a novel mechanism of yielding exponential
growth of the OTOC in quantum systems. Moreover, the quantum collapse effect is
more obvious for the initial states centered in the chaotic one. Our results
show that compared with the OTOC, the linear entanglement entropy and Loschmidt
echo seem to be more effective to diagnose the signals of quantum chaos in the
anisotropic quantum Rabi model.
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