Related papers: Energetic cost for speedy synchronization in non-Hermitian quantum dynamics

Energetic cost for speedy synchronization in non-Hermitian quantum dynamics

URL: http://arxiv.org/abs/2305.16560v1
Date: Fri, 26 May 2023 01:02:10 GMT
Title: Energetic cost for speedy synchronization in non-Hermitian quantum dynamics
Authors: Maxwell Aifer and Juzar Thingna and Sebastian Deffner
Abstract summary: We find the thermodynamic resources required for finite-time synchronization in continuous-variable systems to be extensive. Compared to the classical limit, we find that quantum synchronization is slowed by the non-commutativity of the Hermitian and anti-Hermitian terms.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
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 non-commutativity 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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