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Introduction

Introduction. Is there entanglement of black body radiation such as cosmic background radiation or black hole radiation? Entanglement of non-interacting Fermi gases Creation of entanglement by interacting with thermal bath. Green ’ s function. Two particle density matrix.

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Introduction

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  1. Introduction • Is there entanglement of black body radiation such as cosmic background radiation or black hole radiation? • Entanglement of non-interacting Fermi gases • Creation of entanglement by interacting with thermal bath

  2. Green’s function Two particle density matrix Finite temperature two body Green’s function HF approx. One particle density matrix and One body Green’s function where ,

  3. In basis always satisfied since Separability criterion=PPT= where & • If then and where Generalized Werner State No entanglement in two-spin density matrix of non-interacting thermal boson!

  4. Classical correlation for BB radiation Fidelity Temperature dependency where , , Classical correlation

  5. Classical correlation

  6. Aspect type experiment a,a’ b,b’ Bell-CHSH inequality

  7. Fermion Case

  8. Conclusion • No two-spin entanglement in non-interacting thermal boson system • Useful for determining the character of light sources • Need to study interacting case and system with phase transition

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