TY - JOUR

T1 - Breakdown of the equivalence between active gravitational mass and energy for a quantum body

AU - Lebed, Andrei G.

N1 - Funding Information:
We are thankful to N.N. Bagmet (Lebed), V.A. Belinski, Steven Carlip, Alex Cronin, Li-Zhi Fang, Arvinder Sandhu, Douglas Singleton, and V.E. Zakharov for useful discussions. This work was partially supported by the NSF under Grant DMR-1104512.

PY - 2016/9/5

Y1 - 2016/9/5

N2 - We determine active gravitational mass operator of the simplest composite quantum body - a hydrogen atom - within the semiclassical approach to the Einstein equation for a gravitational field. We show that the expectation value of the mass is equivalent to energy for stationary quantum states. On the other hand, it occurs that, for quantum superpositions of stationary states with constant expectation values of energy, the expectation values of the gravitational mass exhibit time-dependent oscillations. This breaks the equivalence between active gravitational mass and energy and can be observed as a macroscopic effect for a macroscopic ensemble of coherent quantum states of the atoms. The corresponding experiment could be the first direct observation of quantum effects in General Relativity.

AB - We determine active gravitational mass operator of the simplest composite quantum body - a hydrogen atom - within the semiclassical approach to the Einstein equation for a gravitational field. We show that the expectation value of the mass is equivalent to energy for stationary quantum states. On the other hand, it occurs that, for quantum superpositions of stationary states with constant expectation values of energy, the expectation values of the gravitational mass exhibit time-dependent oscillations. This breaks the equivalence between active gravitational mass and energy and can be observed as a macroscopic effect for a macroscopic ensemble of coherent quantum states of the atoms. The corresponding experiment could be the first direct observation of quantum effects in General Relativity.

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U2 - 10.1088/1742-6596/738/1/012036

DO - 10.1088/1742-6596/738/1/012036

M3 - Conference article

AN - SCOPUS:84988697467

VL - 738

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012036

T2 - 5th International Conference on Mathematical Modeling in Physical Sciences, IC-MSquare 2016

Y2 - 23 May 2016 through 26 May 2016

ER -