全静态架构中通过集体耗散实现固定时间高斯态转移
Fixed-Time Gaussian State Transfer via Collective Dissipation in a Fully Static Architecture
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中文总结 AI 辅助
本文提出一种仅利用集体耗散实现固定时间高斯态转移的静态架构，无需相干输运或主动控制，通过解析转移时间与鲁棒性分析，证明耗散足以支持连续变量通信。
中文摘要 AI 辅助
我们建立了一个完全静态、仅依赖耗散的高斯态转移原语，其中与共享环境的集体耦合固定了单一转移时间，无需相干输运或时间相关控制。动力学在亮-暗分解中闭合，得到解析转移时间 $t^{*} = \pi / g_{a}$ 以及一个消除动力学相位积累的实干涉因子，因此所有相位敏感性仅源于高斯保真度度量。这定义了一个固定时间高斯通信信道，其中耗散介导信息转移而无需主动控制。系综分析表明，信道性能对振幅级不对称性保持鲁棒，这些不对称性表现为均匀速率修饰，而相位级系统失谐则通过动力学相位缠绕破坏固定时间机制并产生复兴行为。通过零阶O算子展开纳入有限奥恩斯坦-乌伦贝克记忆，仅产生速率和相位重整化，而不引入新的动力学路径。在快记忆区域，环境相关性被迅速抑制，使信道对环境失谐不敏感并恢复马尔可夫极限。这些结果表明，仅集体耗散就足以支持固定时间高斯态转移，挑战了连续变量通信需要相干输运或主动控制的假设。
英文摘要
We establish a fully static, dissipation-only primitive for Gaussian state transfer in which collective coupling to a shared environment fixes a single transfer time without coherent transport or time-dependent control. The dynamics close in a bright--dark decomposition, yielding an analytic transfer time $t^{*} = π/ g_{a}$ and a real interference factor that eliminates dynamical phase accumulation, so that all phase sensitivity arises solely from the Gaussian fidelity metric. This defines a fixed-time Gaussian communication channel in which dissipation mediates information transfer without active control. Ensemble analysis shows that channel performance remains robust to amplitude-level asymmetries, which act as uniform-rate dressing, whereas phase-level system detuning disrupts the fixed-time mechanism via dynamical phase winding and produces revival behavior. Incorporating finite Ornstein--Uhlenbeck memory via a zeroth-order O-operator expansion yields only rate and phase renormalization without introducing new dynamical pathways. In the fast-memory regime, environmental correlations are rapidly suppressed, rendering the channel insensitive to environmental detuning and restoring the Markovian limit. These results show that collective dissipation alone is sufficient to support fixed-time Gaussian state transfer, challenging the assumption that coherent transport or active control are required for continuous-variable communication.
发表机构
- Stevens Institute of Technology（史蒂文斯理工学院）
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