Tunneling of bosonic qubits under local dephasing through microscopic approach

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Abstract
We present a microscopic derivation of a master equation for two-component bosons (bosonic qubits) which tunnel between spatially separated modes under local dephasing noise. Starting from the full system-bath Hamiltonian with Lorentzian coupling distributions, we analytically obtain a time-local master equation whose structure reveals intrinsic non-Markovian features and recovers the standard phenomenological dephasing model in the short-time limit. Comparison with exact pseudomode simulations confirms its validity beyond weak-coupling and Markovian regimes. We identify a resonance condition between tunneling and bath frequencies for which dephasing drives the system toward correlated steady states, stabilizing coherence and entanglement instead of suppressing them. These results establish a rigorous microscopic foundation for dephasing models in bosonic tunneling systems and reveal a noise-induced mechanism for steady-state entanglement.
Funding Information
  • Ministero dell'Università e della Ricerca (PE00000023)
  • Ministero dell'Università e della Ricerca (J13C22000680006)
  • Ministero dell'Università e della Ricerca (E63C22002180006)
  • Ministero dell'Università e della Ricerca (PE00000001)
  • Ministero dell'Università e della Ricerca (C79J24000190004)
  • Next Generation Foundation (2022FEXLYB)