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Quantum Local Symmetry of the D-Dimensional Non-Linear Sigma Model: A Functional Approach
Symmetry 2014, 6(2), 295-307; doi:10.3390/sym6020295

Dynamical Relation between Quantum Squeezing and Entanglement in Coupled Harmonic Oscillator System

1,*  and 2
1 Division of Physics and Applied Physics, School of Physical and Mathematical Sciences, NanyangTechnological University, Singapore 637371, Singapore 2 Department of Physics, National University of Singapore, Singapore 117542, Singapore
* Author to whom correspondence should be addressed.
Received: 27 February 2014 / Revised: 14 April 2014 / Accepted: 18 April 2014 / Published: 23 April 2014
(This article belongs to the Special Issue Physics based on Two-by-two Matrices)
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In this paper, we investigate into the numerical and analytical relationship between the dynamically generated quadrature squeezing and entanglement within a coupled harmonic oscillator system. The dynamical relation between these two quantum features is observed to vary monotically, such that an enhancement in entanglement is attained at a fixed squeezing for a larger coupling constant. Surprisingly, the maximum attainable values of these two quantum entities are found to consistently equal to the squeezing and entanglement of the system ground state. In addition, we demonstrate that the inclusion of a small anharmonic perturbation has the effect of modifying the squeezing versus entanglement relation into a nonunique form and also extending the maximum squeezing to a value beyond the system ground state.
Keywords: quantum entanglement; squeezed state; coupled harmonic oscillators quantum entanglement; squeezed state; coupled harmonic oscillators
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Chew, L.Y.; Chung, N.N. Dynamical Relation between Quantum Squeezing and Entanglement in Coupled Harmonic Oscillator System. Symmetry 2014, 6, 295-307.

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