Abstract We investigate the dynamics of entanglement and quantum coherence between the pseudospin and valley indices of individual electrons in two-dimensional graphene, thermalized at an equilibrium temperature T . The system is modeled by an effective Dirac-like Hamiltonian describing a graphene valley-pseudospin qubit under polarized laser driving, including sublattice-dependent scattering process, while the thermal fluctuations are accounted through the standard Gibbs thermal state. Entanglement between the two degrees of liberty of electrons is quantified using concurrence, and coherence with the system is measured employing the relative entropy of coherence. The findings demonstrate that the behavior of entanglement and coherence under thermal noise strongly depends on the scattering strength, wavevector components, and electromagnetic field. Additionally, our results indicate that the strong polarized fields ( ξ 0 = 8 meV 2 ) with low-frequency ( ω = 0.06 eV ) can be employed to enhance the robustness of thermal entanglement and coherence of the system at intermediate temperatures. We also explore the impact of the other system parameters, like scattering strength and wavevector components, in enhancing and preserving quantum resources within graphene-based systems, noting particularly that the relative entropy of coherence is more resilient than concurrence against thermal decoherence.
Nonlinear light-matter interaction and, in particular, high-harmonic generation (HHG) are fundamentally interesting and frequently discussed as versatile probes of quantum materials with potential for optical information processing applications. Meanwhile, there has also been significant progress in graphene-based multilayer systems to engineer interesting band structures and boost correlation effects. Motivated by the successful demonstration of HHG in graphene, we here study this effect in rhombohedral stacks of
n layers of graphene, a recent very prominent representative of correlated multilayer graphene systems. We show how the chiral Bloch states of the valleys of this system crucially affect the HHG. The "winding" of the Bloch states scales linearly with
n, just like the dominant harmonic order. The location of the strongest quantum geometry in momentum space on a ring of finite radius is shown to be imprinted on the time-dependent momentum distribution at the beginning of the strong laser pulse. We further demonstrate that the presence of an interaction-induced splitting of the two valleys leads to a complex interplay of the opposite chiralities of the two valleys, directly visible in the
n dependence of the circular dichroism. We also analyze the impact of doping and identify a quantity that tracks the net chirality of the occupied states. Our findings show that rhombohedral graphene constitutes a promising platform for exploring rich nonlinear optical phenomena.