Acoustic solitary wave and breather in molecular magnets via electromagnetically induced transparency

¹  Department of Physics, Hubei Normal University - Huangshi 435002, PRC
²  Max-Planck-Institut für Kernphysik - Saupfercheckweg 1, 69117 Heidelberg, Germany, EU
³  Department of Physics, Northwest University - Xi'an 710069, PRC
⁴  Department of Physics, Huazhong University of Science and Technology - Wuhan 430074, PRC

Corresponding authors: jibl@foxmail.com xtxie1@gmail.com yingwu2@126.com

Received: 6 September 2009
Accepted: 16 December 2009

Abstract

In this paper, we have theoretically investigated the propagation properties of a transverse and weak acoustic wave in a crystal of molecular magnets, which is subject to a strong resonant magnetic field. The results have shown that, due to quantum interference, the strong magnetic field can effectually reduce the absorption of the weak acoustic wave under appropriate conditions. During the study of the acoustic-wave propagation in molecular magnets, the propagation equation for the amplitude of the transverse acoustic wave which include the nonlinear term has been derived, and the corresponding accurate analytical solutions of dark and bright solitary waves have been obtained. Meanwhile, direct simulations have shown that the initial acoustic-wave pulse could evolve into breathers and propagate in the molecular magnets.