论文标题
光学Bloch方程的热力学
Thermodynamics of Optical Bloch Equations
论文作者
论文摘要
光学BLOCH方程(OBE)描述了在有热浴的存在下量子位(Qubit)和准共振驾驶场之间的连贯交换。尽管它是量子技术中无处不在的过程,但仍然缺少合理的热力学分析。在此,我们通过从第一原则中得出相关框架来提供这样的分析。在浴室的微观模型上,我们首先表达封闭量子浴系统的热量,工作和熵产生,这些定义是明确的。我们使用类似于动态主方程的推导的方法,使获得的表达式粗糙,并产生第一和第二定律的一致表达。我们验证了长长的粗砂时间会产生浮力主方程及其已知的热力学描述。相反,简短的粗粒度时间产生OBE及其一致的热力学框架,其变量明确取决于量子的能量基础上的量子相干。在热量和熵产生流中,这些量子特征使我们能够表征真正的量子非平衡情况,在这种情况下,驾驶场创造的相干被浴缸不断擦除。我们的发现很容易扩展到更大的开放量子系统。他们携带种子,以进行量子门的未来热力学分析,并在强连贯的驾驶状态下设计量子发动机。
Optical Bloch Equations (OBE) describe the coherent exchange of energy between a quantum bit (qubit) and a quasi-resonant driving field in the presence of a thermal bath. Despite it being an ubiquitous process in quantum technologies, a sound thermodynamic analysis is still missing. We hereby provide such an analysis, by deriving the relevant framework from first principles. Building on a microscopic model of the bath, we first express heat, work and entropy production for the closed qubit-bath system where these definitions are unambiguous. We coarse-grain the obtained expressions, using a methodology similar to the derivation of the dynamical master equation and giving rise to consistent expressions of the First and Second Law. We verify that long coarse graining times yield the Floquet Master Equation and its already known thermodynamic description. Conversely, short coarse-graining times yield the OBE and its consistent thermodynamic framework, whose variables explicitly depend on the quantum coherences in the qubit's energy basis. These quantum signatures in the heat and in the entropy production flows allow us to characterize a genuinely quantum non-equilibrium situation, where the coherences created by the driving field are continuously erased by the bath. Our findings can be readily extended to larger open quantum systems. They carry the seeds for future thermodynamic analyses of quantum gates and the design of quantum engines in the strong coherent driving regime.