Steady-state quantum transport through an anharmonic oscillator strongly coupled to two heat reservoirs.,Physical Review E

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Steady-state quantum transport through an anharmonic oscillator strongly coupled to two heat reservoirs.
Physical Review E ( IF 2.2 ) Pub Date : 2020-07-31 , DOI: 10.1103/physreve.102.012155
Tianqi Chen ₁ , Vinitha Balachandran ₁ , Chu Guo ₂ , Dario Poletti ₁

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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.

中文翻译：

通过非谐振荡器的稳态量子传输，该非谐振荡器牢固地耦合到两个储热器。

我们研究了一个非谐振荡器的传输特性，该声学特性由单站点Bose-Hubbard模型建模，并使用基于数值精确热场的链映射矩阵乘积状态（TCMPS）方法耦合到两个不同的热浴。我们比较了TCMPS探测强相互作用系统的非平衡动力学的有效性，无论系统与Gorini-Kossakowski-Sudarshan-Lindblad形式的全局主方程方法相对于系统-浴耦合如何。我们讨论了现场相互作用，温度偏差以及系统-浴耦合对稳态传输特性的影响。最后，我们还通过研究两个不同初始状态之间的迹线距离的时间演化的非单调性来显示非马尔可夫动力学的证据。

更新日期：2020-07-31

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