Entanglement in Coupled Harmonic Oscillators via Unitary Transformation

Abstract

We develop an approach to study the entanglement in two coupled harmonic oscillators. We start by introducing an unitary transformation to end up with the solutions of the energy spectrum. These are used to construct the corresponding coherent states through the standard way. To evaluate the degree of the entanglement between the obtained states, we calculate the purity function in terms of the coherent and number states, separately. The result is yielded to two parameters dependance of the purity, which can be controlled easily. Interesting results are derived by fixing the mixing angle of such transformation as π/2. We compare our results with already published work and point out the relevance of these findings to a systematic formulation of the entanglement effect in two coupled harmonic oscillators.

19 pages, 6 figures, clarification and reference added, misprints corrected. Version published in JSTAT

References in corpus (3)

• Universal state inversion and concurrence in arbitrary dimensions
• Classicality of spin-coherent states via entanglement and distinguishability
• Two Coupled Harmonic Oscillators on Non-commutative Plane

Cited by in corpus (6)

• Entanglement in interacting quenched two-body coupled oscillator system
• Nonlinear effects on the dynamics of quantum harmonic modes coupled through angular momentum
• Magnetic Field Effect on Dynamics of Entanglement for Time-dependent Harmonic Oscillator
• Truncated channel representations for coupled harmonic oscillators
• Purity Temperature Dependent for Coupled Harmonic Oscillators
• Tomographic entanglement indicators in a coupled oscillator model