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To thermodynamically address quantum nanoscopic scenarios that involve very small thermal baths and strong system-bath correlation, we suggest a new framework that is based on the principle of passivity. The passivity principle not only reproduces the standard second law but it also extends it for strong (initial) system-bath correlation. In addition, this framework shows that the second law is only one of many thermodynamics inequalities that put thermodynamic constraints on measurement outcomes. As an example we derive lower bounds on the system-bath energy covariance in Jaynes-Cummings model and in a dephasing scenario. Finally, it is shown that the new passivity-based thermodynamic laws can be used to detect "non-Maxwellian demons" that apply subtle feedback on the system without violating the standard second law. Time permitting, the thermodynamic cost of coherence generation will be discussed as well. Host: Yigit Subasi |