Quantum thermodynamics, quantum correlations and quantum coherence in accelerating Unruh–DeWitt detectors in both steady and dynamical state

Abstract We investigate the interplay between quantum thermodynamics, quantum correlations, and quantum coherence within the framework of the Unruh–DeWitt (UdW) detector model. By analyzing both the steady and dynamical states of various quantum resources-including steerability, entanglement, quantum discord, and coherence-we study how these resources evolve under Markovian and non-Markovian environments. Furthermore, the hierarchical structure relating quantum correlations and quantum coherence is established. We also examine the thermodynamic performance of a quantum heat engine, highlighting the influence of memory effects and classical correlations on heat exchange, work extraction, and efficiency.