AI 中文总结
本文将Tsirelson提出的孤立系统量子性认证的基于动力学的测试协议，扩展到耦合多种耗散模型的谐振子，利用Moyal-Wigner形式给出了非经典性见证保持有效的耗散相关阈值。
AI 中文摘要
最初由Tsirelson针对谐振子提出的基于动力学的测试，在哈密顿量已知的假设下提供了一种量子性认证方法。然而这类测试通常针对孤立系统提出，该假设在实验实现中会失效。本文将该协议扩展到耦合了标准耗散模型的谐振子，包括热弛豫、纯退相和Caldeira-Leggett模型。利用相空间量子力学的Moyal-Wigner形式，我们表明耗散的引入需要对经典界进行与耗散相关的偏移，并给出非经典性见证保持有效性的阈值。
英文摘要
A dynamics-based test, originally proposed by Tsirelson for the harmonic oscillator, provides a method for certifying quantumness under the assumption of a known Hamiltonian. These tests, however, are typically proposed for isolated systems, an assumption that breaks down in experimental implementation. In this paper, we extend the protocol to the harmonic oscillator coupled to standard models of dissipation: thermal relaxation, pure dephasing, and the Caldeira--Leggett model. Using the Moyal-Wigner formalism of quantum mechanics in phase space, we show that the introduction of dissipation requires a dissipation-dependent shift of the classical bound, and provide the threshold under which the nonclassicality witness retains its validity.
Comments24 pages, 8 figures
