Wissenschaftskolleg zu Berlin, Berlin, Germany.
Phys Rev Lett. 2010 Dec 31;105(26):260401. doi: 10.1103/PhysRevLett.105.260401. Epub 2010 Dec 20.
We show how continuous matrix product states of quantum fields can be described in terms of the dissipative nonequilibrium dynamics of a lower-dimensional auxiliary boundary field by demonstrating that the spatial correlation functions of the bulk field correspond to the temporal statistics of the boundary field. This equivalence (1) illustrates an intimate connection between the theory of continuous quantum measurement and quantum field theory, (2) gives an explicit construction of the boundary field allowing the extension of real-space renormalization group methods to arbitrary dimensional quantum field theories without the introduction of a lattice parameter, and (3) yields a novel interpretation of recent cavity QED experiments in terms of quantum field theory, and hence paves the way toward observing genuine quantum phase transitions in such zero-dimensional driven quantum systems.
我们展示了如何通过证明体场的空间相关函数对应于边界场的时间统计来用低维辅助边界场的耗散非平衡动力学来描述量子场的连续矩阵乘积态。这种等价关系（1）说明了连续量子测量理论和量子场论之间的紧密联系，（2）给出了边界场的显式构造，允许将实空间重整化群方法扩展到任意维量子场论，而无需引入晶格参数，（3）用量子场论对最近的腔 QED 实验进行了新的解释，从而为在这种零维驱动量子系统中观察真正的量子相变铺平了道路。
