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Tensor-Network Method to Simulate Strongly Interacting Quantum Thermal Machines
Physical Review X ( IF 11.6 ) Pub Date : 2020-08-19 , DOI: 10.1103/physrevx.10.031040
Marlon Brenes , Juan José Mendoza-Arenas , Archak Purkayastha , Mark T. Mitchison , Stephen R. Clark , John Goold

We present a methodology to simulate the quantum thermodynamics of thermal machines which are built from an interacting working medium in contact with fermionic reservoirs at a fixed temperature and chemical potential. Our method works at a finite temperature, beyond linear response and weak system-reservoir coupling, and allows for nonquadratic interactions in the working medium. The method uses mesoscopic reservoirs, continuously damped toward thermal equilibrium, in order to represent continuum baths and a novel tensor-network algorithm to simulate the steady-state thermodynamics. Using the example of a quantum-dot heat engine, we demonstrate that our technique replicates the well-known Landauer-Büttiker theory for efficiency and power. We then go beyond the quadratic limit to demonstrate the capability of our method by simulating a three-site machine with nonquadratic interactions. Remarkably, we find that such interactions lead to power enhancement, without being detrimental to the efficiency. Furthermore, we demonstrate the capability of our method to tackle complex many-body systems by extracting the superdiffusive exponent for high-temperature transport in the isotropic Heisenberg model. Finally, we discuss transport in the gapless phase of the anisotropic Heisenberg model at a finite temperature and its connection to charge conjugation parity, going beyond the predictions of single-site boundary driving configurations.

中文翻译:

张量网络方法模拟强相互作用的量子热机

我们提出一种方法来模拟热机的量子热力学,该热机是由在固定温度和化学势下与铁离子储层接触的相互作用的工作介质构成的。我们的方法在有限的温度下工作,超出了线性响应和弱的系统-储层耦合,并允许在工作介质中进行非二次相互作用。该方法使用介观储层,向热平衡方向连续衰减,以表示连续浴,并使用一种新颖的张量网络算法模拟稳态热力学。以量子点热机为例,我们证明了我们的技术复制了著名的Landauer-Büttiker理论以提高效率和功率。然后,我们通过模拟具有非二次交互作用的三站点机器,超越二次极限来证明我们方法的能力。值得注意的是,我们发现这种相互作用导致功率增强,而不会损害效率。此外,我们通过提取各向同性海森堡模型中高温运输的超扩散指数,证明了我们方法解决复杂多体系统的能力。最后,我们讨论了在有限温度下各向异性Heisenberg模型的无间隙相中的传输及其与电荷共轭奇偶性的联系,这超出了单站点边界驱动配置的预测。此外,我们通过提取各向同性海森堡模型中高温运输的超扩散指数,证明了我们方法解决复杂多体系统的能力。最后,我们讨论了在有限温度下各向异性Heisenberg模型的无间隙相中的输运及其与电荷共轭奇偶性的联系,这超出了单站点边界驱动配置的预测。此外,我们通过提取各向同性海森堡模型中高温运输的超扩散指数,证明了我们方法解决复杂多体系统的能力。最后,我们讨论了在有限温度下各向异性Heisenberg模型的无间隙相中的传输及其与电荷共轭奇偶性的联系,这超出了单站点边界驱动配置的预测。
更新日期:2020-08-20
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