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Finite-Time Dynamics of an Entanglement Engine: Current, Fluctuations and Kinetic Uncertainty Relations
Jeanne Bourgeois1, Gianmichele Blasi1, Shishir Khandelwal2,3
1Department of Applied Physics, University of Geneva, 1211 Geneva, Switzerland.
Entropy (Basel, Switzerland)
|June 26, 2024
Summary
This study explores entanglement engines, revealing a critical current indicating steady-state entanglement. It also examines kinetic uncertainty relations at finite times, showing differing definitions and violation ranges.
Area of Science:
- Quantum thermodynamics
- Quantum information theory
- Quantum dynamics
Background:
- Entanglement engines are quantum thermal machines that generate entanglement via particle currents.
- Understanding their behavior beyond steady-state is crucial for practical applications.
Purpose of the Study:
- Investigate the dynamics of a two-qubit entanglement engine beyond the steady-state regime.
- Analyze the relationship between coherence, particle current, and entanglement.
- Examine kinetic uncertainty relations (KURs) at finite times.
Main Methods:
- Utilized a master equation approach to model the entanglement engine.
- Derived time-dependent quantum states and particle currents.
- Calculated current correlation functions.
Main Results:
- Established a direct link between quantum coherence and internal particle current.
- Identified a critical current as a steady-state entanglement indicator.
- Demonstrated multiple definitions for finite-time kinetic uncertainty relations.
Conclusions:
- The critical current provides a measurable signature for entanglement in steady-state engines.
- Finite-time KURs exhibit distinct parameter ranges for violation compared to steady-state.
- This work deepens the understanding of quantum engine dynamics and uncertainty principles.
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