Adding an auxiliary nonlinear term to the quantum Rabi model extends its quantum phase transition into a continuous regime, yielding globally diverging quantum Fisher information and criticality-enhanced metrology precision in dynamics that persists with decoherence.
Quantum phase transition and spontaneous symmetry breaking in a nonlinear quantum Rabi model
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abstract
The experimental advance on light-matter interaction into strong couplings has invalidated Jaynes-Cummings model and brought quantum Rabi model (QRM) to more relevance. The QRM only involves linear coupling via a single-photon process (SPP), while nonlinear two-photon process (TPP) is weaker and conventionally neglected. However, we find a contrary trend that enhancing the linear coupling might not suppress more the nonlinear effect but backfire to trigger some collapse of linear characters. Indeed, in strong SPP couplings a tiny strength of TPP may dramatically change properties of the system, like a symmetry spontaneous breaking. By extracting the ground-state phase diagram including both SPP and TPP, we find TPP in low frequency limit induces a quantum phase transition with continuity-discontinuity double faces, which split into two distinct transitions at finite frequencies and yields a triple point. Our analysis unveils a subtle SPP-TPP entanglement.
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quant-ph 4representative citing papers
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Globalized critical quantum metrology in dynamics of quantum Rabi model by auxiliary nonlinear term
Adding an auxiliary nonlinear term to the quantum Rabi model extends its quantum phase transition into a continuous regime, yielding globally diverging quantum Fisher information and criticality-enhanced metrology precision in dynamics that persists with decoherence.