Macroscopic Quantum Mechanics in a Classical Spacetime
| Autor: | Yang, Huan, Miao, Haixing, Lee, Da-Shin, Helou, Bassam, Chen, Yanbei |
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| Rok vydání: | 2012 |
| Předmět: | |
| Zdroj: | Phys. Rev. Lett. 110, 170401, (2013) |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1103/PhysRevLett.110.170401 |
| Popis: | We apply the many-particle Schr\"{o}dinger-Newton equation, which describes the co-evolution of an many-particle quantum wave function and a classical space-time geometry, to macroscopic mechanical objects. By averaging over motions of the objects' internal degrees of freedom, we obtain an effective Schr\"odinger-Newton equation for their centers of mass, which are degrees of freedom that can be monitored and manipulated at the quantum mechanical levels by state-of-the-art optoemchanics experiments. For a single macroscopic object moving quantum mechanically within a harmonic potential well, we found that its quantum uncertainty evolves in a different frequency from its classical eigenfrequency --- with a difference that depends on the internal structure of the object, and can be observable using current technology. For several objects, the Schr\"odinger-Newton equation predicts semiclassical motions just like Newtonian physics, yet they do not allow quantum uncertainty to be transferred from one object to another through gravity. Comment: 5+3 pages, 1 figure |
| Databáze: | arXiv |
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