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Energetic Cost for Speedy Synchronization in Non-Hermitian Quantum Dynamics. | LitMetric

Energetic Cost for Speedy Synchronization in Non-Hermitian Quantum Dynamics.

Phys Rev Lett

Department of Physics, University of Maryland, Baltimore County, Baltimore, Maryland 21250, USA.

Published: July 2024

AI Article Synopsis

  • Quantum synchronization is essential for complex dynamics and has potential applications in fields like quantum computing and communication.
  • The research highlights that large continuous-variable systems require significant thermodynamic resources for finite-time synchronization.
  • It establishes that synchronization speed is constrained by interaction strength and damping, with quantum synchronization being slower due to noncommutativity, and suggests possible experimental verification using photonic systems.

Article Abstract

Quantum synchronization is crucial for understanding complex dynamics and holds potential applications in quantum computing and communication. Therefore, assessing the thermodynamic resources required for finite-time synchronization in continuous-variable systems is a critical challenge. In the present work, we find these resources to be extensive for large systems. We also bound the speed of quantum and classical synchronization in coupled damped oscillators with non-Hermitian anti-PT-symmetric interactions, and show that the speed of synchronization is limited by the interaction strength relative to the damping. Compared to the classical limit, we find that quantum synchronization is slowed by the noncommutativity of the Hermitian and anti-Hermitian terms. Our general results could be tested experimentally, and we suggest an implementation in photonic systems.

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Source
http://dx.doi.org/10.1103/PhysRevLett.133.020401DOI Listing

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