时滞相互作用下费米边奇异性的时空扩展及其对含时RKKY型耦合的影响
Spatiotemporal Spread of Fermi-edge Singularity as Time Delayed Interaction and Impact on Time-dependent RKKY Type Coupling
摘要：
费米边奇点和安德森正交性灾难是导体中非平衡多体物理的典型例子，出现在局部势的突然变化产生淬火之后。我们调查，如果淬火进行的信号可以用来传输一个远程的相互作用，让人想起的RKKY相互作用，但包括在空间和时间的完整的多体传播。我们计算了导体在不同时间和位置对局域态引起的两次猝灭的响应。我们表明，建立和保持局域态之间的相干性是可能的，只有微调局域态和导体之间的相互作用。这限制了时间控制的RKKY型相互作用的使用，并且可能限制某些量子门可以操作的速度。
英文摘要：
Fermi-edge singularity and Anderson's orthogonality catastrophe are paradigmatic examples of non-equilibrium many-body physics in conductors, appearing after a quench is created by the sudden change of a localised potential. We investigate if the signal carried by the quench can be used to transmit a long ranged interaction, reminiscent of the RKKY interaction, but with the inclusion of the full many-body propagation over space and time. We calculate the response of a conductor to two quenches induced by localised states at different times and locations. We show that building up and maintaining coherence between the localised states is possible only with finely tuned interaction between the localised states and the conductor. This puts bounds to the use of time controlled RKKY type interactions and may limit the speed at which some quantum gates could operate.
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