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International Journal of Theoretical Physics

Dynamical Casimir Effect and Collective Excitation Effect at Finite Temperature Without the Rotating-Wave Approximation

Bahetiguli Asilibieke, Xue Zhang, Fang Jie, Liu Hui, Pan Shu Mei, Zheng Tai Yu, Hui Min Yang

Published Jan 21, 2015• 1 citation
Publisher
DOI
10.1007/s10773-015-2513-6

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The Dynamical Casimir effect and collective excitations in atom ensemble are investigated in a non-stationary cavity. The results show that the dynamical Casimir effect leads to the collective excitations of atom ensemble due to absorption of the created photons. This remarkable feature indicates that the atom ensemble can serve as a detector for the process of photon production in a non-stationary cavity. Therefore by measuring the collective excitations of the atom ensemble, the dynamical Casimir effect can indirectly be verified.
We introduce the Friedrichs model at the finite temperature which is one- and zero-particle restriction of the spin-boson model in the rotating wave approximation and obtain the population of the excited state for this model. We also consider the oscillator interacting with bosonic thermal bath in the rotating wave approximation and obtain dynamics of the mean excitation number for this oscillator. Both solutions are expressed in terms of integrals of zero-temperature solutions with correspondent correlation functions.
We propose to realize controllable squeezing states of ferromagnetic magnons with a spinor Bose-Einstein condensate confined in an optical lattice. We use an external laser field to induce optical dipole-dipole interaction, which leads to magnon excitations of the system. By focusing on the role of the long-range magnetic and the optical dipole-dipole interactions, we show that the existence and properties of the produced squeezed magnons can be well controlled by tuning the transverse trapping widths of the condensates. We also show that the magnon excitations in this system have a close analogy with the dynamical Casimir effect at finite temperature predicted by Plunien et al. [Phys. Rev. Lett. 84, 1882 (2000)] and Jing et al. [Phys. Lett. A 268, 174 (2000)].