Quantum synchronization in one-dimensional topological systems
arXiv:2409.12581 · doi:10.1103/mr1f-v8cv
Abstract
The phenomenon of synchronization, where entities exhibit stable oscillations with aligned frequencies and phases, has been detected in diverse areas of natural science. It plays a crucial role in achieving frequency locking in multiple applications such as microwave communication and signal processing. The study of synchronization in quantum systems has gained significant interest, particularly in developing robust methods for synchronizing distant objects. Here, we demonstrate that synchronization between the boundary sites of one-dimensional generalized Aubry-André-Harper models can be induced through applying dissipation on the central sites. Two types of synchronization, stemming from the topological edge states, are characterized by the off-diagonal or diagonal correlations between the boundary sites. We analyze the relaxation rate to realize the synchronization and its acceleration with bulk dissipation. Remarkably, the synchronous oscillations maintain steady amplitude and frequency in the thermodynamic limit. Moreover, we show that the synchronization is robust against the perturbations in the Hamiltonian and initial states, highlighting its potential for practical implementation in quantum networks.
References in corpus (20)
- Third quantization: a general method to solve master equations for quadratic open Fermi systems
- Dissipative Phase Transition in Central Spin Systems
- Quantum phase transition in a far from equilibrium steady state of XY spin chain
- Spin Correlations as a Probe of Quantum Synchronization in Trapped Ion Phonon-Lasers
- Light-mediated cascaded locking of multiple nano-optomechanical oscillators
- A scalable superconducting quantum simulator with long-range connectivity based on a photonic bandgap metamaterial
- Algebraic Theory of Quantum Synchronization and Limit Cycles under Dissipation
- Observing quantum synchronization blockade in circuit quantum electrodynamics
- Realization of fractional quantum Hall state with interacting photons
- Noise-induced quantum synchronization
- Master-Slave Locking of Optomechanical Oscillators Over A Long Distance
- Topological synchronization of quantum van der Pol oscillators
- Observing Quantum Synchronization of a Single Trapped-Ion Qubit
- Exponential size scaling of the Liouvillian gap in boundary-dissipated systems with Anderson localization
- Macroscopic quantum synchronization effects
- Measurement-Induced Quantum Synchronization and Multiplexing
- Observation of entanglement negativity transition of pseudo-random mixed states
- Topological quantum synchronization of fractionalized spins
- Observation of multiple steady states with engineered dissipation
- Energetic cost for speedy synchronization in non-Hermitian quantum dynamics