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Tunneling of bosonic qubits under local dephasing through a microscopic approach

Alberto Ferrara1,*, Farzam Nosrati1,2, Andrea Smirne3,4, Jyrki Piilo5, and Rosario Lo Franco1

  • *Contact author: alberto.ferrara@unipa.it

Phys. Rev. A 114, 012415 – Published 6 July, 2026

DOI: https://doi.org/10.1103/f2sy-sj27

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.

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