论文标题
热辅助充电
Charging assisted by thermalization
论文作者
论文摘要
如果系统浴耦合较强,则具有浴缸的热平衡系统通常处于较小的状态。在某些情况下,将系统与浴缸断开连接后,可以从该障碍状态中提取工作。我们使用此观察结果来设计一个电池充电和存储单元,仅由系统组成,充当电池和浴缸。充电周期---连接,让热层,断开连接,提取工作---需要很少的外部控制,并且电池的带电状态是全球热平衡的一部分,可以无限期地保持和免费维持。该效率定义为电池中存储的可提取工作的比率,以及在连接和断开连接上花费的总工作,始终是$ \ leq 1 $,这是第二种热力学定律的体现。此外,耦合是该设备的资源,也是耗散的来源:每个充电周期的熵产生始终是显着的,这强烈限制了所有耦合强度制度的效率。我们表明,我们的一般结果也适用于通用的微域浴。我们用谐波振荡器(电池)与谐波浴的谐波振荡器(电池)说明了我们的理论,为此,我们在弱和超肌耦合方案中得出了一般的渐近配方,用于任意的欧姆光谱密度。我们表明,可以通过将电池的几份副本连接到浴缸来提高效率。最后,作为一个侧面结果,我们得出了高斯麦角拷贝的一般公式,即,从多方连续可变系统的高斯状态下,高斯单位操作可提取的最大工作。
A system in thermal equilibrium with a bath will generally be in an athermal state, if the system-bath coupling is strong. In some cases, it will be possible to extract work from that athermal state, after disconnecting the system from the bath. We use this observation to devise a battery charging and storing unit, simply consisting of a system, acting as the battery, and a bath. The charging cycle---connect, let thermalize, disconnect, extract work---requires very little external control and the charged state of the battery, being a part of global thermal equilibrium, can be maintained indefinitely and for free. The efficiency, defined as the ratio of the extractable work stored in the battery and the total work spent on connecting and disconnecting, is always $\leq 1$, which is a manifestation of the second law of thermodynamics. Moreover, coupling, being a resource for the device, is also a source of dissipation: the entropy production per charging cycle is always significant, strongly limiting the efficiency in all coupling strength regimes. We show that our general results also hold for generic microcanonical baths. We illustrate our theory on the Caldeira-Leggett model with a harmonic oscillator (the battery) coupled to a harmonic bath, for which we derive general asymptotic formulas in both weak and ultrastrong coupling regimes, for arbitrary Ohmic spectral densities. We show that the efficiency can be increased by connecting several copies of the battery to the bath. Finally, as a side result, we derive a general formula for Gaussian ergotropy, that is, the maximal work extractable by Gaussian unitary operations from Gaussian states of multipartite continuous-variable systems.