A very interesting quantum mechanical effect is the emergence of gravity-induced interference, which has already been detected. This effect also shows us that gravity is at the quantum level not a purely geometric effect, the mass of the employed particles appears explicitly in the interference expression. In this work we will generalize some previous results. It will be shown that the introduction of a second order approximation in the propagator of a particle, immersed in the Earth's gravitational field, and whose coordinates are being continuously monitored, allows us to include, in the corresponding complex oscillator, a frequency which now depends on the geometry of the source of the gravitational field, a fact that is absent in the case of a homogeneous field. Using this propagator we will analyze the interference pattern of two particle beams whose coordinates are being continuously monitored. We will compare our results againt the case of a homogeneous field, and also against the measurement ouputs of the Colella, Overhauser, and Werner experiment, and find that the difference in the dependence upon the geometry of the source of the gravitational field could render detectable differences in their respective measurement outputs.
Quantum Incompressibility of a Freely Falling Hydrogen Atom in a Circular Rydberg State, and a Gravitationally-Induced Charge Separation Effect in Superconducting Systems
Manipulative resonant nonlinear optics: nonlinear interference effects and quantum control of nonlinearity, dispersion, transparency and inversionless amplification in an extended strongly-absorbing inhomogeneously-broadened medium
50-km fiber interferometer for testing gravitational signatures in quantum interference
University of Tennessee, Knoxville(田纳西大学诺克斯维尔分校);University of Vienna(维也纳大学);Massachusetts Institute of Technology(麻省理工学院);Université Côte d’Azur(蔚蓝海岸大学)
Gravitational and other shifts of whispering gallery and gravitational state interference patterns of light neutral particles
Institut Max von Laue - Paul Langevin(朗之万研究所);University of Virginia(弗吉尼亚大学);Laboratoire Kastler Brossel, Sorbonne Universite, CNRS, ENS-Universite PSL, College de France(卡斯特勒-布罗塞尔实验室,索邦大学,法国国家科学研究中心,巴黎高等师范学院-PSL大学,法兰西学院);Marietta Blau Institut, Austrian Academy of Sciences(玛丽亚·布劳研究所,奥地利科学院)
Breakdown of Aharonov-Bohm cage in Rydberg synthetic lattices: the roles of inhomogeneity and long-range exchange
Institute of Atomic and Molecular Physics, Sichuan University(四川大学原子与分子物理研究所);College of Physics, Sichuan University(四川大学物理学院);Key Laboratory of High Energy Density Physics and Technology of Ministry of Education, Sichuan University(四川大学教育部高能密度物理与技术重点实验室)