Positive Tensor Network Approach for Simulating Open Quantum Many-Body Systems.
Positive Tensor Network Approach for Simulating Open Quantum Many-Body Systems.
复制标题
DOI：
10.1103/physrevlett.116.237201
复制
发表时间：
2014-12
影响因子：
8.6
通讯作者：
A. Werner;Daniel Jaschke;P. Silvi;M. Kliesch;T. Calarco;J. Eisert;S. Montangero
中科院分区：
文献类型：
--
作者：
A. Werner;Daniel Jaschke;P. Silvi;M. Kliesch;T. Calarco;J. Eisert;S. Montangero
开放量子多体系统在量子光学和凝聚态物理中发挥着重要作用，并捕获传输、哈密顿和非相干动力学之间的相互作用以及耗散产生的拓扑顺序等现象。我们引入了一种通用且实用的方法，使用张量网络对一维开放量子多体动力学进行数值模拟。它基于以局部纯化形式表示混合量子态，这保证了始终保持积极性。此外，近似误差是相对于迹范数进行控制的。因此，该方案克服了已知数值开放系统演化方案的各种障碍。为了举例说明该方法的功能，我们研究了从几个物体到多个物体的各种开放量子系统的稳态和瞬态耗散行为。
Open quantum many-body systems play an important role in quantum optics and condensed matter physics, and capture phenomena like transport, the interplay between Hamiltonian and incoherent dynamics, and topological order generated by dissipation. We introduce a versatile and practical method to numerically simulate one-dimensional open quantum many-body dynamics using tensor networks. It is based on representing mixed quantum states in a locally purified form, which guarantees that positivity is preserved at all times. Moreover, the approximation error is controlled with respect to the trace norm. Hence, this scheme overcomes various obstacles of the known numerical open-system evolution schemes. To exemplify the functioning of the approach, we study both stationary states and transient dissipative behavior, for various open quantum systems ranging from few to many bodies.