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Energy exchange and fluctuations between a dissipative qubit and a monitor under continuous measurement and feedback

by Tsuyoshi Yamamoto, Yasuhiro Tokura

Submission summary

Authors (as registered SciPost users): Tsuyoshi Yamamoto
Submission information
Preprint Link: scipost_202412_00043v1  (pdf)
Data repository: https://zenodo.org/records/14252485
Date submitted: 2024-12-23 03:11
Submitted by: Yamamoto, Tsuyoshi
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
Specialties:
  • Condensed Matter Physics - Theory
  • Quantum Physics
Approach: Theoretical

Abstract

Continuous quantum measurement and feedback induce energy exchange between a dissipative qubit and a monitor even in the steady state, as a measurement backaction. Using the Lindblad equation, we identified the maximum and minimum values of the steady-state energy flow as the measurement and feedback states vary, and we demonstrate the qubit cooling induced by these processes. Turning our attention to quantum trajectories under continuous measurement and feedback, we observe that the energy flow fluctuates around the steady-state values. We reveal that the fluctuations are strongly influenced by the measurement backaction, distinguishing them from the standard Poisson noise typically observed in electronic circuits. Our results offer potential application in the development of quantum refrigerators controlled by continuous measurement and feedback, and provide deep insight into quantum thermodynamics from the perspective of fluctuation.

Author indications on fulfilling journal expectations

  • Provide a novel and synergetic link between different research areas.
  • Open a new pathway in an existing or a new research direction, with clear potential for multi-pronged follow-up work
  • Detail a groundbreaking theoretical/experimental/computational discovery
  • Present a breakthrough on a previously-identified and long-standing research stumbling block

Author comments upon resubmission

We thank all the referees for carefully reading our manuscript and providing useful comments. We have addressed all the comments point by point and revised our manuscript accordingly for resubmission, based on the referees’ comments. Please check our detailed replies in the “Reports on this Submission” section on our “SciPost Submission Page”.
We have attached the revised version of our manuscript in PDF format to this correspondence. The revisions in the resubmitted manuscript are highlighted in blue for clarity.

List of changes

- First paragraph on page 2: We have improved the sentence about the dissipation effects in continuous measurement.
- Second paragraph on page 2: We have revised the explanation of the Poisson noise for the electronic current.
- Eq. (5) and below on page 4: We have added a comment to clarify that our setup is valid for multiple heat baths.
- Below Eq. (7) on page 5: we have included an explanation of θ_m and θ_n.
- End of page 5: We have modified the sentence about the effective coupling strength and the effective temperature.
- Caption of Fig. 2 on page 5: We have added values for the effective coupling strength and the effective temperature.
- Beginning of page 6: We have added a discussion about the bounds of the heat current in the transient region.
- Page 7: We have introduced a new Section 3.4 about quantum measurement cooling, along with new figures as Fig. 3.
- Eq. (16) on page 8: We have added the definition of the conditional heat current.
- Below Eq. (21) on page 10: We have revised the explanation of the Poisson noise for the electronic current.
- End of Section 4.1 on page 10: We have improved the discussion on the comparison with the electronic current.
- Below Eq. (28) on page 12: We have added a discussion about sub-Poisson statistics.
- End of Section 5 on page 14: We have included a comment about the possibility of experimental detection.
- End of Section 5 on page 14: We have provided information on Zenodo, where we have uploaded our numerical data.
- We have replaced “heat current” with “energy exchange” or “energy flow”.
- We have avoided using the term “bound” to prevent ambiguity.

Current status:
Refereeing in preparation

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