论文标题
超越Lindblad主方程：边界驱动旋转链中的热，工作和能量
Beyond the Lindblad Master Equation: Heat, Work and Energy Currents in Boundary Driven Spin Chains
论文作者
论文摘要
我们考虑在某些边界驱动的量子旋转系统中对能量电流及其组件（热量和工作）的准确研究。电流的表达以及相关的Lindblad主方程是通过重复交互方案获得的。我们考虑了小型系统，以分析计算稳定分布以研究稳定状态下的电流。详细分析了不对称XXZ和量子ISING模型。对于XXZ链，我们提出了通过重复相互作用协议获得的不同热量和工作电流组成的情况，导致相同的能量电流，可以通过Lindblad Master方程获得。对于量子链，我们描述了一个为零的能量电流和novaning热量和工作电流的情况。我们的发现清楚地表明，要在这些边界驱动的自旋量子系统中谈论热量，我们必须超越仅涉及lindblad主方程的调查。
We consider the accurate investigation of the energy current and its components, heat and work, in some boundary driven quantum spin systems. The expressions for the currents, as well as the associated Lindblad master equation, are obtained via a repeated interaction scheme. We consider small systems in order to analytically compute the steady distribution to study the current in the steady state. Asymmetrical XXZ and quantum Ising models are detailed analyzed. For the XXZ chain we present cases in which different compositions of heat and work currents, obtained via the repeated interaction protocol, lead to the same energy current, which may be obtained via the Lindblad master equation. For the quantum Ising chain, we describe a case of zero energy current and novanishing heat and work currents. Our findings make clear that to talk about heat in these boundary driven spin quantum systems we must go beyond an investigation involving only the Lindblad master equation.
