Density Matrix and Squeezed State for Two Harmonic Oscillators with a Kinetic Coupling |
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| Authors: | FAN HongYi ZHANG Ying |
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| Affiliation: | 1. Department Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China;2. Department Special Class for the Gifted Young, University of Science and Technology of China, Hefei 230026, China |
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| Abstract: | We study two harmonic oscillators with a kinetic coupling system. By taking a unitary transformation approach, we turn the system into the Fock space of two independent harmonic oscillators and derive the density matrix for it. The corresponding unitary operator U is characteristic of including frequency-jump squeezing transformation. By virtue of the technique of the integration within an ordered product of operators, we manifestly show that the ground state of the system is a squeezed state. |
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| Keywords: | density matrix squeezed state kinetic coupling |
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