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Analytical approach and reconstruction of the density matrix of coupled oscillators

Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2014-02-28

Journal: JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS

Included Journals: Scopus、EI、SCIE

Volume: 47

Issue: 4

ISSN: 0953-4075

Key Words: x-x coupled oscillators; reconstruction of density matrix; strong coupling; dynamical recurrence

Abstract: 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.

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