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Energetic Cost for Speedy Synchronization in Non-Hermitian Quantum Dynamics.
Maxwell Aifer1, Juzar Thingna2,3, Sebastian Deffner1
1Department of Physics, <a href="https://ror.org/02qskvh78">University of Maryland</a>, Baltimore County, Baltimore, Maryland 21250, USA.
Thermodynamic resources for quantum synchronization are extensive in large systems. Quantum synchronization speed in coupled oscillators is limited by interaction strength and slowed by non-Hermitian anti-PT-symmetric interactions.
Area of Science:
- Quantum dynamics and thermodynamics
- Quantum information science
Background:
- Quantum synchronization is vital for quantum computing and communication.
- Assessing thermodynamic resources for finite-time synchronization in continuous-variable systems is challenging.
Purpose of the Study:
- To determine the thermodynamic resources required for finite-time quantum synchronization.
- To bound the speed of quantum and classical synchronization in specific systems.
- To investigate the impact of non-Hermitian anti-PT-symmetric interactions on synchronization speed.
Main Methods:
- Analysis of thermodynamic resources for finite-time synchronization.
- Bounding synchronization speeds in coupled damped oscillators with non-Hermitian anti-PT-symmetric interactions.
- Comparison of quantum and classical synchronization dynamics.
Main Results:
- Thermodynamic resources for quantum synchronization are found to be extensive for large systems.
- Synchronization speed is limited by the ratio of interaction strength to damping.
- Quantum synchronization is slower than classical synchronization due to noncommutativity of Hermitian and anti-Hermitian terms.
Conclusions:
- The study quantifies thermodynamic resources and synchronization speeds in quantum systems.
- Non-Hermitian anti-PT-symmetric interactions introduce unique dynamics affecting synchronization.
- The findings have implications for quantum technologies and suggest experimental verification in photonic systems.
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