Classical and quantum coupled oscillators: symplectic structure

Abstract

We consider a set of N linearly coupled harmonic oscillators and show that the diagonalization of this problem can be put in geometrical terms. The matrix techniques developed here allowed for solutions in both the classical and quantum regimes.

27 pages, 6 figures

References in corpus (3)

• Noiseless Quantum Codes
• Searching for Decoherence-Free Subspaces in Cavity Quantum Electrodynamics
• Decay rate and decoherence control in coupled dissipative cavities

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