Universal Entanglement Between an Oscillator and Continuous Fields

  • Haixing Miao
Part of the Springer Theses book series (Springer Theses)


In the previous two chapters, we have studied the optomechanical entanglement between the optical cavity modes and the mechanical oscillator, both of which have finite degrees of freedom. In this chapter, we study the entanglement between a mechanical oscillator and a coherent continuous optical field which contains infinite degrees of freedom. This system is interesting because it lies in the heart of all optomechanical systems. With a rigorous functional analysis, we develop a new mathematical framework for treating quantum entanglement that involves infinite degrees of freedom. We show that quantum entanglement is always present between the oscillator and the continuous optical field-even when the environmental temperature is high, and the oscillator is highly classical. Such a universal entanglement is also shown to be able to survive more than one mechanical oscillation period, if the characteristic frequency of the optomechanical interaction is larger than that of the thermal noise. In addition, we introduce effective optical modes, which are ordered by their entanglement strength, to better understand the entanglement structure, in analogy with the energy spectrum of an atomic system.


Quantum Entanglement Optical Field Mechanical Oscillator Optomechanical System Logarithmic Negativity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  1. 1.Caltech M350-17Theoretical AstrophysicsPasadenaUSA

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