Analytical approach and reconstruction of the density matrix of coupled oscillators

作者：Cheng Jiong^*; Han Yan; Zhou Ling

来源：Journal of Physics B: Atomic, Molecular and Optical Physics , 2014, 47(4): 045501.

DOI：10.1088/0953-4075/47/4/045501

• x-x coupled oscillators
• reconstruction of density matrix
• strong coupling
• dynamical recurrence

We present an analytical approach to solve the wave function and reconstruct the density matrix for a linear x-x coupled oscillator system. The method is available both for weak and strong coupling systems. Employing our method, we analyse the probability distribution function, dynamical recurrence and non-Gaussian entanglement. Including the dissipation, we reconstruct the density matrix in the Liouville-space. Supplying both analytical and numerical treatment, we obtain the steady-state solution of the density matrix and discuss the effect of resonant excitation.

• 出版日期2014-2-28
• 单位大连理工大学