Polaron effects on the information backflow in Jaynes-Cummings model

• URL: http://arxiv.org/abs/2603.09361v1
• Date: Tue, 10 Mar 2026 08:42:48 GMT
• Title: Polaron effects on the information backflow in Jaynes-Cummings model
• Abstract summary: We investigate the influence of phonon degrees of freedom on the qubit dynamics in Jaynes-Cummings (JC) model.<n>A strong qubit-phonon coupling is considered giving rise to Jaynes-Cummings-Holstein (JCH) model.
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• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We investigate the influence of phonon degrees of freedom on the qubit dynamics in Jaynes-Cummings (JC) model. A strong qubit-phonon coupling is considered giving rise to Jaynes-Cummings-Holstein (JCH) model. Under anti-adiabatic conditions, we perform a unitary transformation to make the underlying problem tractable through Redfield-type non-Markovian master equation. Analytical expression for the time-dependent coherence is obtained, incorporating both cavity-induced dissipation and phonon-induced dressing effects. The dynamics of JC model is highly non-Markovian for a narrow spectral width and finite detuning. However, a non-zero phonon coupling suppresses these non-Markovian features by effectively reducing the qubit-cavity interaction strength. {It is observed that polaronic dressing effectively supresses the detuning effects. Furthermore, the coherence-based non-Markovianity measure shows an order-of-magnitude suppression in the JCH model, indicating a new dynamical regime, while memory effects extend over a wider range of spectral densities than in the JC model.

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