Quantum superposition of two gravitational cat states

作者: Charis Anastopoulos , Bei-Lok Hu

DOI: 10.1088/1361-6382/ABBE6F

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摘要: We extend our earlier work on probing a gravitational cat state (gravcat)---see, arXiv:1504.03103 ---to the quantum superposition of two gravcats in an exemplary model and Bose-Einstein condensates (BEC). In addition to its basic theoretical values physics macroscopic phenomena this investigation can provide some support experimental proposals for measuring gravity-induced entanglement nature perturbative gravity. first part we consider states generated by double-well potentials. Approximated as two-level systems, pair is characterized Rabi oscillations, energy eigenstates. second turn (non-relativistic) field theory description derive Gross-Pitaevsky equation formed BECs. Using mathematical analogy rotors, explore properties two-gravcat system BECs, physical consequences observational possibilities. Finally discuss results comparison predictions alternative theories, explain their implications.

参考文章(64)
W. L. Power, I. C. Percival, Decoherence of quantum wave packets due to interaction with conformal space–time fluctuations Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 456, pp. 955- 968 ,(2000) , 10.1098/RSPA.2000.0544
J. D. Teufel, T. Donner, Dale Li, J. W. Harlow, M. S. Allman, K. Cicak, A. J. Sirois, J. D. Whittaker, K. W. Lehnert, R. W. Simmonds, Sideband cooling of micromechanical motion to the quantum ground state Nature. ,vol. 475, pp. 359- 363 ,(2011) , 10.1038/NATURE10261
Oriol Romero-Isart, Quantum superposition of massive objects and collapse models Physical Review A. ,vol. 84, pp. 052121- ,(2011) , 10.1103/PHYSREVA.84.052121
Valery V. Nesvizhevsky, Hans G. Börner, Alexander K. Petukhov, Hartmut Abele, Stefan Baeßler, Frank J. Rueß, Thilo Stöferle, Alexander Westphal, Alexei M. Gagarski, Guennady A. Petrov, Alexander V. Strelkov, Quantum states of neutrons in the Earth's gravitational field Nature. ,vol. 415, pp. 297- 299 ,(2002) , 10.1038/415297A
Netanel H. Lindner, Asher Peres, Testing quantum superpositions of the gravitational field with Bose-Einstein condensates Physical Review A. ,vol. 71, pp. 024101- ,(2005) , 10.1103/PHYSREVA.71.024101
O. Romero-Isart, A. C. Pflanzer, F. Blaser, R. Kaltenbaek, N. Kiesel, M. Aspelmeyer, J. I. Cirac, Large Quantum Superpositions and Interference of Massive Nanometer-Sized Objects Physical Review Letters. ,vol. 107, pp. 020405- 020405 ,(2011) , 10.1103/PHYSREVLETT.107.020405
Angelo Bassi, GianCarlo Ghirardi, Dynamical reduction models Physics Reports. ,vol. 379, pp. 257- 426 ,(2003) , 10.1016/S0370-1573(03)00103-0
G. J. Milburn, J. Corney, E. M. Wright, D. F. Walls, Quantum dynamics of an atomic Bose-Einstein condensate in a double-well potential Physical Review A. ,vol. 55, pp. 4318- 4324 ,(1997) , 10.1103/PHYSREVA.55.4318