Chen Tianqi, Balachandran Vinitha, Guo Chu, Poletti Dario
Science, Mathematics and Technology Cluster, Singapore University of Technology and Design, 8 Somapah Road, 487372 Singapore.
Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, Department of Physics and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha 410081, China.
Phys Rev E. 2020 Jul;102(1-1):012155. doi: 10.1103/PhysRevE.102.012155.
We investigate the transport properties of an anharmonic oscillator, modeled by a single-site Bose-Hubbard model, coupled to two different thermal baths using the numerically exact thermofield based chain-mapping matrix product states (TCMPS) approach. We compare the effectiveness of TCMPS to probe the nonequilibrium dynamics of strongly interacting system irrespective of the system-bath coupling against the global master equation approach in Gorini-Kossakowski-Sudarshan-Lindblad form. We discuss the effect of on-site interactions, temperature bias as well as the system-bath couplings on the steady-state transport properties. Last, we also show evidence of non-Markovian dynamics by studying the nonmonotonicity of the time evolution of the trace distance between two different initial states.
我们使用基于数值精确热场的链映射矩阵乘积态（TCMPS）方法，研究了由单格点玻色 - 哈伯德模型建模的非简谐振荡器与两个不同热库耦合时的输运性质。我们将TCMPS用于探测强相互作用系统非平衡动力学的有效性（与系统 - 热库耦合无关）与戈里尼 - 科萨克夫斯基 - 苏达山 - 林德布拉德形式的全局主方程方法进行了比较。我们讨论了格点间相互作用、温度偏置以及系统 - 热库耦合对稳态输运性质的影响。最后，我们通过研究两个不同初始态之间迹距离的时间演化的非单调性，也展示了非马尔可夫动力学的证据。
