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arXiv · 2603.09361

Polaron effects on the information backflow in Jaynes-Cummings model

Saima Bashir·Mehboob Rashid·Rayees A Malla·Muzaffar Qadir Lone
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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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Saima Bashir, Mehboob Rashid, Rayees A Malla, Muzaffar Qadir Lone. 2026-03-10. Polaron effects on the information backflow in Jaynes-Cummings model. https://doi.org/10.1140/epjp%2Fs13360-026-07484-0

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