论文标题
连续变量系统与高斯州的连续变量系统违规行为
Leggett-Garg violations for continuous variable systems with gaussian states
论文作者
论文摘要
大型现实主义（MR）是世界观点，即某些数量可以始终呈现一定的价值，无论过去或将来的测量值如何，并且可以通过Leggett-Garg（LG）不平等实验进行实验性伪造。在量子谐波振荡器中的高斯初始状态下，我们通过寻求违反LG的违反二分法变量$ Q = \ textrm {sign}（x）$来对系统描述的系统进行测试。扩展我们的早期分析[C. Mawby和J. J. Halliwell，物理。 Rev. A 105，022221（2022）]我们找到了时间相关器的分析表达式。对参数空间的探索揭示了两次LG不平等现象，同样在三次和四次时。为了获得LG违规的物理图片，我们利用了基础位置变量的连续性，并分析相关的量子机械电流，BOHM轨迹和Wigner函数。此外，我们使用连贯的状态投影仪，热相干状态和挤压状态扩展了分析LG测试。
Macrorealism (MR) is the world view that certain quantities may take definite values at all times irrespective of past or future measurements and may be experimentally falsified via the Leggett-Garg (LG) inequalities. We put this world view to the test for systems described by a continuous variable $x$ by seeking LG violations for measurements of a dichotomic variable $Q = \textrm{sign}(x)$, in the case of gaussian initial states in a quantum harmonic oscillator. Extending our earlier analysis [C. Mawby and J. J. Halliwell, Phys. Rev. A 105, 022221 (2022)] we find analytic expressions for the temporal correlators. An exploration of parameter space reveals significant regimes in which the two-time LG inequalities are violated, and likewise at three and four times. To obtain a physical picture of the LG violations, we exploit the continuous nature of the underlying position variable and analyse the relevant quantum-mechanical currents, Bohm trajectories, and Wigner function. Further, we extend the analysis LG tests using coherent state projectors, thermal coherent states, and squeezed states.
