Quantum Signatures of Chaos in Anisotropic Quantum Rabi Model
arXiv:2305.17495 · doi:10.1002/qute.202400460
Abstract
Quantum chaos is an intriguing topic and has attracted 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, good correspondence is found between the linear entanglement entropy and the semiclassical phase space structures in the anisotropic quantum Rabi model. The Loschmidt echo in the chaotic sea decays more faster than that in the stable island. However, the OTOCs grow exponentially at early times for the initial states centered both in the chaotic and stable regions. The exponential growth of the OTOC is attributed to quantum collapse that 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. The results show that in the anisotropic quantum Rabi model, the linear entanglement entropy, and Loschmidt echo are more effective than OTOC for diagnosing quantum chaotic signals.
6 pages, 8 figures
References in corpus (16)
- Dynamics of Loschmidt echoes and fidelity decay
- Lyapunov Exponent and Out-of-Time-Ordered Correlator's Growth Rate in a Chaotic System
- Observation of a quantum phase transition in the quantum Rabi model with a single trapped ion
- Quantum phase transition in the Dicke model with critical and non-critical entanglement
- Bridging entanglement dynamics and chaos in semiclassical systems
- Out-of-time-order correlator in coupled harmonic oscillators
- Quantum Chaos and the Correspondence Principle
- Analytical solutions by squeezing to the anisotropic Rabi model in the nonperturbative deep-strong coupling regime
- Defining the semiclassical limit of the quantum Rabi Hamiltonian
- Super-exponential scrambling of Out-of-time-ordered correlators
- Out-of-time-order correlator in the quantum Rabi model
- Quantum-classical correspondence of a system of interacting bosons in a triple-well potential
- Generating three-photon Rabi oscillations without a large-detuning condition
- Collapse-revival dynamics and atom-field entanglement in the non-resonant Dicke model
- Floquet analysis of extended Rabi models based on high-frequency expansion
- Quantum instability and Ehrenfest time for an inverted harmonic oscillator