Andrieux David, Gaspard Pierre
Center for Nonlinear Phenomena and Complex Systems, Université Libre de Bruxelles, Campus Plaine, Brussels, Belgium.
Phys Rev Lett. 2008 Jun 13;100(23):230404. doi: 10.1103/PhysRevLett.100.230404.
A universal quantum work relation is proved for isolated time-dependent Hamiltonian systems in a magnetic field as the consequence of microreversibility. This relation involves a functional of an arbitrary observable. The quantum Jarzynski equality is recovered in the case this observable vanishes. The Green-Kubo formula and the Casimir-Onsager reciprocity relations are deduced thereof in the linear response regime.
作为微观可逆性的结果，证明了磁场中孤立的含时哈密顿系统的一个通用量子功关系。该关系涉及任意可观测量的一个泛函。在该可观测量消失的情况下可恢复量子雅津斯基等式。在线性响应区域由此推导出格林 - 久保公式和卡西米尔 - 昂萨格互易关系。
