Non-Classical Correlations Beyond Entanglement in Noisy Hyperfine Systems: Dynamics of Quantum Dissonance and One-Way Deficit Under Dephasing and Dissipation

We examine non-classical correlations in separable systems through quantum dissonance and one-way quantum deficit. Our study focuses on the generation and dynamics of these correlations in hydrogen atoms influenced by dephasing and dissipative decoherence. We treat the electron–proton spin coupling in the hyperfine structure as a two-qubit quantum system, showing that quantum dissonance and a one-way deficit can emerge from initially classical configurations via this interaction. We further analyze the time evolution of the quantum dissonance and the one-way quantum deficit under dephasing and dissipative quantum dynamics. The results indicate that both measures exhibit a relatively slow decay under decoherence, highlighting their robustness against environmental effects. These insights highlight the promise of hydrogen atoms for robust quantum information protocols in noisy environments.