We show that frequent nondemolition measurements of a quantum system immersed in a thermal bath allow the extraction of work in a closed cycle from the system-bath interaction (correlation) energy, a hitherto unexploited work resource. It allows for work even if no information is gathered or the bath is at zero temperature, provided the cycle is within the bath memory time. The predicted work resource may be the basis of quantum engines embedded in a bath with long memory time, such as the electromagnetic bath of a high-Q cavity coupled to two-level systems.
I. IntroductionInformation acquired by an observer on the system can be commuted into work in a single-bath engine [1][2][3][4][5][6][7][8][9]. To this end, the observer ("Maxwell's demon") must manipulate the system according to the results of measurements performed on it. The measurements have therefore to be selective, i.e., their outcomes must be read and discriminated to determine the observer's course of action [7,10]. The balance of work and information is embodied by the Szilard-Landauer (SL) principle [1, 2] whereby work obtainable from a measurement must not exceed the energy cost of erasing its record from the observer's memory. Notwithstanding ongoing efforts to expand information-based thermodynamics (IT) so as to include measurement-cost effects [10][11][12] beyond the original SL balance (see Appendix), an important aspect has been little addressed thus far [13]: How essential is the thermodynamic paradigm of system-bath separability [14,15] to the analysis of work extraction by measurements?This question is here investigated in the context of non-Markovian quantum thermodynamics "under observation" [16][17][18][19][20][21]. Namely, we show that frequent measurements can induce changes in system-bath correlations, unaccounted for by the separability paradigm, and thereby change the tradeoff of information and work. Consequently, selective (read) measurements can extract more work in a closed cycle than what the SL principle allows. This effect requires the cycle to be completed within a non-Markovian (bath-memory) time-scale.We further show that non-selective quantum nondemolition (QND) measurements of the system energy (which we shall also denote as unread measurements, i.e., measurements whose outcomes do not matter) enable the system to do work in a cycle, although they provide no information on the system, nor do they change its state (by their definition as QND measurements) and thus do not act as a "demon." Work is shown to be obtainable within the bath memory time even at zero temperature (T = 0),