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Three-mode Entanglement and Squeezing of Coupled Harmonic Oscillators in the Non-Markovian Reservoir

Author: SunLiHui
Tutor: LiGaoXiang
School: Central China Normal University
Course: Optics
Keywords: Pester Continuous variables Gaussian state Non- Markov Harmonic oscillator
CLC: O413.1
Type: Master's thesis
Year: 2009
Downloads: 76
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Abstract


Quantum entanglement in quantum teleportation and quantum communication plays an important role, but in the analysis of continuous variables channel, because the system inevitably interacts with the outside world , it is necessary to take into account decoherence and dissipation , so the entanglement of open systems characteristics is an important issue, has aroused widespread concern. In an open quantum theory , the dynamic nature of the system is determined by the master equation for the reduced density matrix to describe. This article is derived three identical resonant subsystem and a non- Markov Interacting meet non- Markov master equation , and in this system are discussed on the basis of three-mode entangled and compression. This non- Markovian master equation approach does not use the Born approximation and the Markov approximation , but the environment is seen as a non- harmonic oscillator Markov libraries. In order to simplify the process of solving the master equation , we position operator and momentum operators perform unitary transformation , making the system based on the new transform is only one harmonic oscillator coupled with the library , while others are associated with libraries harmonic oscillator decoupling . It can be given in the Wigner representation of the time evolution coefficient covariance matrix element coupled first-order ordinary differential equations. To three -mode squeezed vacuum state is the initial state , with the Runge - Kutta numerical method for solving the covariance matrix element of the time evolution . The calculation method than the Fokker - Planck equation easier. Then by calculating the intrinsic worth to a negative entanglement , and use local tri-mode compression compression transform calculated time evolution . Analysis and comparison of entanglement and compression characteristics , and ultimately come to the following conclusions : three identical three-mode entangled harmonic oscillator and resonator compression depends not only on the initial state , but also the nature of the library , and the library system is closely related to the coupling strength . It was also found when the resonator mode entangled between the three , they will present three -mode compression ; when the resonator state of separation , the three -mode compression disappeared.

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CLC: > Mathematical sciences and chemical > Physics > Theoretical Physics > Quantum theory > Quantum mechanics ( wave mechanics,matrix mechanics )
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