Dynamics of classical and quantum correlations in a zigzag graphene nanoribbon under noisy environments

We study the dynamics of classical and quantum correlations between two edge spins in a zigzag graphene nanoribbon (ZGNR) under noisy channels including the bit flip, phase flip, and bit-phase flip channels. The results show that the classical correlation is insusceptible under these channels, which only depends on the spin correlation function. Quantum correlations including entanglement (E), discord (D), and dissonance (Q) in the ZGNR are robust against the thermal fluctuations and display the sudden death and birth behaviors, where the death region increases with increasing temperature. E only exists between the antiferromagnetically coupled two spins in the ZGNR. For the antiferromagnetically coupled states, Q exhibits the sudden change behaviors at the points where entanglement just appears and completely disappears. By comparison, we also find that C is always larger than E, but it is not always true that C > D in the ZGNR.

Automated summary

Classical correlations are found to be unaffected by noisy channels and depend only on spin correlation function, while quantum correlations in ZGNR show robustness against thermal fluctuations, with sudden entanglement and dissonance behaviors observed. Understanding the dynamics of classical and quantum correlations can provide insights into spin dynamics in graphene nanoribbons.