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Hawking radiation in 1D quantum fluids

vs. fermions. bosons. Valencia 2009. Hawking radiation in 1D quantum fluids. Stefano Giovanazzi. … before starting with 1D stuff …. How to make subsonic to supersonic transitions ? The Atom laser is a beautiful example of a sonic black hole. From Cennini et al. Tuebingen. Why 1D?

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Hawking radiation in 1D quantum fluids

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  1. vs fermions bosons Valencia 2009 Hawking radiation in 1D quantum fluids Stefano Giovanazzi

  2. … before starting with 1D stuff … How to make subsonic to supersonic transitions ? The Atom laser is a beautiful example of a sonic black hole. From Cennini et al. Tuebingen

  3. Why 1D? • Why fermions? • Introducing the non-ideal flow of non-interacting fermions • Superfluidity in 1D? Bosons vs fermions • Presenting an exact microscopic model for Hawking radiation • Hawking temperature: Bosons vs fermions

  4. Description of the flow of non-interacting fermions The many-particles wave-function can be easily written as a Slater determinant (scattering description) reservoir reservoir µL µR 1D channel T=0 T=0 Hydrodynamic description …. ->

  5. From the semiclassical to the hydrodynamic description

  6. What happens if the reservoir on the right is replaced by a sonic event horizon with a non-negligible Hawking temperature? Thermal distribution of right-coming fermions reservoir reservoir µL µR 1D channel T=0 T≠0

  7. What are the quantum effects? Reflection coefficient from the very smooth barrier where is related to the curvature of the potential barrier

  8. What are the quantum effects? Reflection coefficient from the very smooth barrier Expressing Hawking temperature in terms of the external potential parameters

  9. where for a 1D Bose gas in the mean field regime and for a 1D Bose gas in the Tonks-Girardeau regime or for 1D non-interacting Fermi gas Using hydrodynamics of a general 1D quantum fluid is possible to prove that

  10. Aspects of Hawking radiations: • Statistic of fluid’s particles plays no role in Hawking temperature formula • Correlations on opposite side of the event horizon • Incoherence of the radiation when probed only on one side of the horizon • Thermal distribution Which are the aspects that survives kTH ≈ mc2 ?

  11. bosons vs fermions Thank you for listening ! ? SG, C. Farrell, T. Kiss, and U. Leonhardt, PRA 70, 063602 (2004); SG, PRL 94, 061302 (2005); SG, JPB 39, S109 (2006).

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