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Submillisecond Conformational Changes in Proteins Resolved by Photothermal Beam Deflection

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Thermodynamic uncertainty relation for quantum first-passage processes.

Yoshihiko Hasegawa¹

¹Department of Information and Communication Engineering, Graduate School of Information Science and Technology, The University of Tokyo, Tokyo 113-8656, Japan.

Physical Review. E

|May 20, 2022

Summary

This summary is machine-generated.

We developed a thermodynamic uncertainty relation for quantum first passage processes. This new relation bounds observables using the Loschmidt echo and connects to quantum Fisher information, applicable to classical systems too.

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Area of Science:

Quantum thermodynamics
Statistical mechanics
Quantum information theory

Background:

Quantum Markov chains typically evolve over fixed time intervals.
First passage processes are crucial for understanding system dynamics and transitions.
Irreversibility in quantum systems is quantified by measures like the Loschmidt echo.

Purpose of the Study:

To derive a thermodynamic uncertainty relation for quantum first passage processes.
To establish bounds on observables for quantum first passage processes.
To explore the connection between irreversibility and uncertainty relations in quantum systems.

Main Methods:

Derivation of a thermodynamic uncertainty relation tailored for quantum Markov chains with fixed jump events.
Utilizing the Loschmidt echo to establish bounds on system observables.
Analyzing a specific case to link the derived bound to quantum Fisher information.

Main Results:

A novel thermodynamic uncertainty relation for quantum first passage processes is established.
Bounds for observables are derived using the Loschmidt echo, quantifying irreversibility.
The lower bound is shown to correspond to quantum Fisher information in a specific scenario.
The relation generalizes to classical first passage processes.

Conclusions:

The study provides a new framework for understanding uncertainty relations in quantum thermodynamics.
The derived bounds offer insights into the interplay between irreversibility and measurement precision in quantum systems.
The findings have implications for both quantum and classical statistical mechanics.