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In a quantum sense, vacuum is not an empty void but full of virtual particles(fields). It may have long-range properties, be altered, and even undergo phasetransitions. It is suggested that long-range properties of a quantum vacuum maybe probed by distributing matter over a large spatial volume. Here, we study asimplest example of such, i.e., two uniformly accelerated Unruh-DeWittdetectors which are spatially separated, and examine the inter-detectorinteraction energy arising from the coupling between the detectors andfluctuating fields to see if novel phenomena related to the long-rangeproperties emerge of a vacuum altered by uniformly accelerating two spatiallyseparated detectors through it. Our results show that when the inter-detectorseparation is much larger than the thermal wavelength of the Unruh thermalbath, the inter-detector interaction displays a completely new behavior, which,as compared with that of the inertial detectors, is surprisingly exclusivelyacceleration-dependent, signaling a new phase of the vacuum in which itsimprint as seen by two inertial observers seems to be completely wiped out.Moreover, we demonstrate that the inter-detector interaction in the near regioncan be significantly enhanced by the accelerated motion in certaincircumstances, and with two Rydberg atoms as the detectors, the accelerationrequired for an experimentally detectable enhancement of the interaction energycan be $10^5$ times smaller than that required for the detection of the Unruheffect.

Probing long-range properties of vacuum altered by uniformly accelerating two spatially separated Unruh-DeWitt detectors