论文标题
dephasing下的tomonaga-luttinger液体的临界行为的融化
Melting of the critical behavior of a Tomonaga-Luttinger liquid under dephasing
论文作者
论文摘要
密切相关的量子系统通常表现出普遍的行为，因为在某些制度中，它们的性质被发现独立于基础系统的显微镜细节。这种情况的一个例子是一维强相关或费米子系统的Tomonaga-Luttinger液体描述。在这里，我们调查了这种量子液在耗散性脱位动力学下的反应，尤其是我们确定了通用的tomonaga-luttinger液体特性如何融化。我们的研究基于绝热消除，表明dephasing首先转化为密度密度相关性中存在的振荡的阻尼，这种行为伴随着tomonaga-luttinger液体指数的变化。第一个制度之后是第二个制度，其特征是无限温度状态预期的无特征相关性的扩散传播。我们通过使用适用于开放系统的矩阵产品状态算法的数字实现进行数值确切的模拟来支持这些分析预测。
Strongly correlated quantum systems often display universal behavior as, in certain regimes, their properties are found to be independent of the microscopic details of the underlying system. An example of such a situation is the Tomonaga-Luttinger liquid description of one-dimensional strongly correlated bosonic or fermionic systems. Here we investigate how such a quantum liquid responds under dissipative dephasing dynamics and, in particular, we identify how the universal Tomonaga-Luttinger liquid properties melt away. Our study, based on adiabatic elimination, shows that dephasing first translates into the damping of the oscillations present in the density-density correlations, a behavior accompanied by a change of the Tomonaga-Luttinger liquid exponent. This first regime is followed by a second one characterized by the diffusive propagation of featureless correlations as expected for an infinite temperature state. We support these analytical predictions by numerically exact simulations carried out using a number-conserving implementation of the matrix product states algorithm adapted to open systems.
