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We derive the stochastic equations and consider the non-Markovian dynamics ofa system of multiple two-level atoms in a common quantum field. We make onlythe dipole approximation for the atoms and assume weak atom-field interactions.From these assumptions we use a combination of non-secular open- andclosed-system perturbation theory, and we abstain from any additionalapproximation schemes. These more accurate solutions are necessary to exploreseveral regimes: in particular, near-resonance dynamics and low-temperaturebehavior. In detuned atomic systems, small variations in the system energylevels engender timescales which, in general, cannot be safely ignored, aswould be the case in the rotating-wave approximation (RWA). More problematicare the second-order solutions, which, as has been recently pointed out, cannotbe accurately calculated using any second-order perturbative master equation,whether RWA, Born-Markov, Redfield, etc.. This latter problem, which applies toall perturbative open-system master equations, has a profound effect uponcalculation of entanglement at low temperatures. We find that even at zerotemperature all initial states will undergo finite-time disentanglement(sometimes termed "sudden death"), in contrast to previous work. We also useour solution, without invoking RWA, to characterize the necessary conditionsfor Dickie subradiance at finite temperature. We find that the subradiantstates fall into two categories at finite temperature: one that is temperatureindependent and one that acquires temperature dependence. With the RWA there isno temperature dependence in any case.

Non-Markovian Dynamics and Entanglement of Two-level Atoms in a Common Field