Numerical simulation of critical dissipative non-equilibrium quantum systems with an absorbing state
Numerical simulation of critical dissipative non-equilibrium quantum systems with an absorbing state
复制标题
具有吸收态的临界耗散非平衡量子系统的数值模拟
DOI：
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发表时间：
2019
影响因子：
3.3
通讯作者：
I. Lesanovsky
中科院分区：
文献类型：
--
作者：
E. Gillman;F. Carollo;I. Lesanovsky
非平衡耗散量子多体系统的模拟是从凝聚态物质到宇宙学的许多物理学领域的基本兴趣问题。对于酉系统，张量网络方法已被证明是成功的，并将这些方法扩展到开放系统是一个自然的研究途径。特别是，一个重要的问题涉及用张量网络近似非平衡系统的临界动力学的可能性。在这里，我们通过对具有吸收态的典型量子非平衡系统（量子接触过程）进行数值模拟来研究这一问题。我们考虑应用矩阵乘积状态和时间演化块抽取算法来模拟临界时量子接触过程的时间演化。在林德布拉德形式主义中，我们发现海森堡图可以用来提高薛定谔方法的模拟精度，这可以通过考虑算子空间纠缠的演化来理解。此外，我们还考虑了一种量子轨迹方法，我们发现这种方法可以比直接模拟平均状态更长的时间重现关键可观察量的预期普遍行为。这些改进的结果进一步证明量子接触过程的普适性类不是定向渗流，而定向渗流是经典接触过程的类。
The simulation of out-of-equilibrium dissipative quantum many body systems is a problem of fundamental interest to a number of fields in physics, ranging from condensed matter to cosmology. For unitary systems, tensor network methods have proved successful and extending these to open systems is a natural avenue for study. In particular, an important question concerns the possibility of approximating the critical dynamics of non-equilibrium systems with tensor networks. Here, we investigate this by performing numerical simulations of a paradigmatic quantum non-equilibrium system with an absorbing state: the quantum contact process. We consider the application of matrix product states and the time-evolving block decimation algorithm to simulate the time-evolution of the quantum contact process at criticality. In the Lindblad formalism, we find that the Heisenberg picture can be used to improve the accuracy of simulations over the Schrödinger approach, which can be understood by considering the evolution of operator-space entanglement. Furthermore, we also consider a quantum trajectories approach, which we find can reproduce the expected universal behaviour of key observables for a significantly longer time than direct simulation of the average state. These improved results provide further evidence that the universality class of the quantum contact process is not directed percolation, which is the class of the classical contact process.
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影响因子：
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