The Violation of the Equivalence Principle for a Composite Quantum Body

Recently, a publication has appeared that supports the common belief that Einstein’s Equivalence Principle survives for both classical and quantum composite bodies. In contrast, we show that although it holds for classical composite bodies, the Equivalence Principle is broken for composite quantum objects due to the effects of quantum memory. Using the simple example of a hydrogen atom, we demonstrate that the Equivalence Principle is broken for this electron and proton system. We argue that this happens for any composite quantum body.