Thermal Quench‐Induced Markovian Dynamics of Quantum Resources in Molybdenum Disulfide Qubits

Abstract

We investigate the dynamics of local quantum Fisher information and quantum coherence in a two‐qubit system hosted in a molybdenum disulfide monolayer and coupled to a thermal Markovian environment. Initially prepared in a thermal state at temperature T s , the system is connected to a reservoir at a different temperature, allowing the study of quantum‐resource dynamics under thermal nonequilibrium conditions. We show that the electron wave‐vector magnitude k affects the transient regime by enhancing the off‐diagonal elements of the initial density matrix, which increases quantum coherence and, more moderately, local quantum Fisher information. This dependence is progressively suppressed by decoherence, so that the long‐time stationary state becomes independent of k and T s . Moreover, quantum coherence decays monotonically to zero, whereas local quantum Fisher information first decreases and then saturates at a finite asymptotic value. This contrast reflects their different physical nature: coherence depends on off‐diagonal density‐matrix elements, while local quantum Fisher information is sensitive to both populations and coherences. Overall, within the Markovian description, the steady state is controlled by the reservoir, while transient dynamics preserve signatures of the initial state and intrinsic system parameters.