Quantum synchronization and quantum state sharing in an irregular complex network

Abstract

We investigate quantum synchronization phenomenon within the complex network constituted by coupled optomechanical systems and prove the unknown identical quantum states can be shared or distributed in the quantum network even though the topology is varying. Considering a channel constructed by quantum correlation, we show that quantum synchronization can sustain and maintain high levels in Markovian dissipation for a long time. We analyze state sharing process between two typical complex networks, that is, a small-world network corresponding to linear motif state sharing and a scale-free network corresponding to whole network sharing, respectively. Our results predict that linked nodes can be directly synchronized in small-world network, but the whole network will be synchronized only if some specific synchronization conditions are satisfied. Furthermore, we give the synchronization conditions analytically through analyzing network dynamics. This proposal paves the way for studying multi-interaction synchronization and achieving an effective quantum information processing in complex network.

Synchronizing quantum harmonic oscillators through two-level systems

“…More recently, collective behavior of many spins has been studied in order to establish a connection between synchronization processes and superradiance or subradiance [19]. A further extension present in the literature is the dynamical alignment of optomechanical systems [20][21][22].…”

Enhancement of quantum synchronization in optomechanical system by modulating the couplings

“…Here, we focus on a single-mode electromagnetic field coupling to the mechanical motion of the moving mirror via the radiation-pressure coupling in each cavity. Without loss of generality, we assume that the two optomechanical cavities are identical and driven by the same lasers with intensity E. The couplings between the two optomechanical systems are realized by a fiber with coupling constant λ [36,45] and a phonon tunnel with intensity μ [5,35,36], which are controlled by the switches K 1 and K 2 [35], respectively. Therefore, the quantum synchronization control can be realized through different logical relationships of the two switches K 1 and K 2 .…”

“…where Δ j =ω L −ω cj refers to the detuning of the laser driving to the cavity mode [5,[35][36][37], and ω mj are the mechanical eigenfrequencies assumed to be slightly different with each other. The operators a j † and a j are the creation and annihilation operators for the optical field, satisfying a a ,…”

“…According to the previous studies, there are two ways to realize the synchronization between the two mechanical oscillators. One way is the mutual exchange of energy between the two oscillators [5,35,36], and the other way is controlling the system by external fields [35][36][37][38][39]. The two mechanical oscillators will trend to synchronize after a long period of time and synchronization is very sensitive to many parameters in optomechanical systems, such as coupled intensity, driving field, temperature and so on.…”

“…Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. directly coupled [5,35,36]. By including the periodically modulating cavity detunings, the quantum synchronization can be greatly enhanced.…”