We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
MiS Preprint
63/2019
Quantum Coherence of non-Degeneracy is Essential in Energy Flow
Teng Ma, Ming-Jing Zhao, Shao-Ming Fei and Man-Hong Yung
Abstract
In this work, we show that the quantum coherence among non-degenerate energy subspaces (CANES for short) is essential for the energy flow in any quantum system.
CANES satisfies almost all of the requirements as a coherence measure, except that the coherence within degenerate subspaces is explicitly eliminated. We show that the energy of a system becomes frozen if and only if the corresponding CANES vanishes, which is true regardless the form of interaction with the environment. However, CANES can remain zero even if the entanglement changes over time. Furthermore, we show how the power of energy flow is bounded by the value of CANES. An explicit relation connecting the variation of energy and CANES is also presented. These results allow us to bound the generation of system-environment correlation through the local measurement of system's energy flow.
