Coherence-enhanced efficiency of feedback-driven quantum engines

Kay Brandner, Michael Bauer, Michael T. Schmid, Udo Seifert

Research output: Contribution to journalArticlepeer-review

59 Citations (Scopus)


A genuine feature of projective quantum measurements is that they inevitably alter the mean energy of the observed system if the measured quantity does not commute with the Hamiltonian. Compared to the classical case, Jacobs proved that this additional energetic cost leads to a stronger bound on the work extractable after a single measurement from a system initially in thermal equilibrium (2009 Phys. Rev. A 80 012322). Here, we extend this bound to a large class of feedback-driven quantum engines operating periodically and in finite time. The bound thus implies a natural definition for the efficiency of information to work conversion in such devices. For a simple model consisting of a laser-driven two-level system, we maximize the efficiency with respect to the observable whose measurement is used to control the feedback operations. We find that the optimal observable typically does not commute with the Hamiltonian and hence would not be available in a classical two level system. This result reveals that periodic feedback engines operating in the quantum realm can exploit quantum coherences to enhance efficiency.

Original languageEnglish
Article number065006
JournalNew Journal of Physics
Issue number6
Publication statusPublished - 2015 Jun 4
Externally publishedYes


  • coherence
  • quantum information engine
  • quantum thermodynamics

ASJC Scopus subject areas

  • Physics and Astronomy(all)


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