Non-Hermitian Dynamics and Decoherence of Bell States in a Bosonic Dissipative System
DOI:
https://doi.org/10.14738/aivp.1402.20237Abstract
We theoretically investigate the state evolution and decoherence of Bell states in a two-qubit system coupled to local bosonic thermal baths. By employing a hybrid Liouvillian formalism with a tuning parameter , we systematically explore the transition from purely non-Hermitian coherent evolution ( ) to complete Lindblad master equation dynamics ( ) in a bosonic environment. Our results demonstrate that at , dynamically encircling a second-order exceptional point (EP) enables a near-perfect chiral transfer between the Bell states and . This phenomenon is shown to be globally robust against variations in the bosonic thermal occupation numbers of the environment. However, the introduction of quantum jump processes ( ) significantly suppresses the directional selectivity, and the chirality completely disappears in the full Liouvillian limit ( ). Furthermore, we find that the dissipative protocol is unable to generate entanglement starting from a maximally mixed state, highlighting the role of initial state purity. This work elucidates the interplay between non-Hermitian topology and bosonic decoherence, providing insights for state evolution in realistic open quantum systems.
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