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Progetto Buchi Neri Acustici (Resp. R. Balbinot)
Progetto Buchi Neri Acustici (Resp. R. Balbinot) R. Balbinot, A. Fabbri Centro Fermi Roma, 19 Aprile 2012 Resp. R. Balbinot (Università di Bologna) Progetto Buchi Neri Acustici Centro Fermi Roma, 19 Aprile 2012 1 / 15 Black Holes In General Relativity black holes are ‘black’ objects: light is trapped inside their event horizon (RS = 2GM/c2 ) they form from the gravitational collapse of massive stars (M ≥ 3MSun ) Resp. R. Balbinot (Università di Bologna) Progetto Buchi Neri Acustici Centro Fermi Roma, 19 Aprile 2012 2 / 15 Black Holes and Quantum Mechanics BHs are not ‘black’: Hawking 1974: they behave as ‘hot’ (black) bodies with a temperature TH Basic mechanism: conversion of vacuum fluctuations into on shell particles due to horizon formation For M ∼ MSun we have TH ∼ 10−7 K ≪ TCMB ∼ 3 K..... sigh! Resp. R. Balbinot (Università di Bologna) Progetto Buchi Neri Acustici Centro Fermi Roma, 19 Aprile 2012 3 / 15 Acoustic black holes A stationary fluid undergoing transition from subsonic to supersonic motion is for sound what a black hole is for light Resp. R. Balbinot (Università di Bologna) Progetto Buchi Neri Acustici Centro Fermi Roma, 19 Aprile 2012 4 / 15 Hawking radiation in condensed matter systems Features of HR It is a “kinematical” instead of a “dynamical” effect, and it can be found also in systems other than gravity Unruh 1981: A process identical to that found by Hawking for BHs works for acoustic bhs: they emit a thermal flux of phonons from their acoustic horizon Domain of application and advantages wrt gravity Domain of application: fluids and other CM systems in the long wavelength (hydrodynamic) approximation They allow to test experimentally the existence of Hawking radiation The existence of HR can be studied from first principles, overcoming the transplanckian problem in gravity Resp. R. Balbinot (Università di Bologna) Progetto Buchi Neri Acustici Centro Fermi Roma, 19 Aprile 2012 5 / 15 What is the best experimental setting? Different directions are being explored Water tanks experiments (stimulated HR from white hole flows) Laser pulse filaments (controversial) Experimental realization of an acoustic black hole in a Bose-Einstein condensate Problems The signal is tiny and there are competing effects (nonzero background temperature, quantum noise, ..) In BECs TH ∼ 10 nK < TC ∼ 100 nK: much better wrt gravity, but not enough to allow a direction detection of the emitted phonons Resp. R. Balbinot (Università di Bologna) Progetto Buchi Neri Acustici Centro Fermi Roma, 19 Aprile 2012 6 / 15 Balbinot et al. 2008: A major breakthrough Hawking radiation in correlations in BECs HR is a pairs production process: Hawking quanta (outside the horizon)/partner (inside) This leads to a characteristic signal in density-density correlations for points situated on both sides of the acoustic horizon (these correlations cannot be measured in gravity) Balbinot, Fabbri, Fagnocchi, Recati, Carusotto 2008 Prediction confirmed by numerical “ab initio” simulations: this signature can be exploited to isolate HR from competing processes and experimental noise Carusotto, Fagnocchi, Recati, Balbinot, Fabbri 2008 Resp. R. Balbinot (Università di Bologna) Progetto Buchi Neri Acustici Centro Fermi Roma, 19 Aprile 2012 7 / 15 Resp. R. Balbinot (Università di Bologna) Progetto Buchi Neri Acustici Centro Fermi Roma, 19 Aprile 2012 8 / 15 Advantages of this application Density correlations measurements appear to be the most promising way to detect experimentally the Hawking-Unruh effect Inserting numbers for realistic experiments one anticipates correlations of order 10−3 , not far from the sensitivity of actual experiments Eric Cornell (Valencia, 2009) proposed to amplify the signal by following the formation of the acoustic bh with a period of free expansion Resp. R. Balbinot (Università di Bologna) Progetto Buchi Neri Acustici Centro Fermi Roma, 19 Aprile 2012 9 / 15 2011: A new signal Hawking radiation from acoustic white holes Mayoral, Recati, Fabbri, Parentani, Balbinot, Carusotto 2011: In BECs the characteristic signal is inside the horizon: correlations are nonstationary and grow with time Similarities with the undulation observed in water tanks experiments Resp. R. Balbinot (Università di Bologna) Progetto Buchi Neri Acustici Centro Fermi Roma, 19 Aprile 2012 10 / 15 Comments and future directions The study of HR in BECs allows to better understand its origin (negative energy states and energy conservation, the role of the horizon) Transverse/massive modes and undulation ... Resp. R. Balbinot (Università di Bologna) Progetto Buchi Neri Acustici Centro Fermi Roma, 19 Aprile 2012 11 / 15 Collaborators to the Project I. Carusotto, A. Recati (INO-CNR BEC Center, Dip. Fisica Univ. Trento) R. Parentani (Laboratoire Physique Théorique, Univ. Paris Sud Orsay) P. Anderson (Dept. of Physics, Wake Forest University, USA) Resp. R. Balbinot (Università di Bologna) Progetto Buchi Neri Acustici Centro Fermi Roma, 19 Aprile 2012 12 / 15 Organization of international congresses ‘Towards the observation of Hawking radiation in condensed-matter systems’, Valencia (2009) ‘New trends in the physics of the quantum vacuum: from condensed matter, to gravitation and cosmology’, Trento (2011) Resp. R. Balbinot (Università di Bologna) Progetto Buchi Neri Acustici Centro Fermi Roma, 19 Aprile 2012 13 / 15 Publications C. Mayoral, A. Recati, A. Fabbri, R. Parentani, R. Balbinot and I. Carusotto, New J. Phys. 13, 025007 (2011) R. Balbinot, I. Carusotto, A. Fabbri and A. Recati, Int. J. Mod. Phys. D19, 2371 (2010) I. Carusotto, R. Balbinot, A. Fabbri and A. Recati, Eur. Phys. J. D56, 391 (2010) I. Carusotto, S. Fagnocchi, A. Recati, R. Balbinot and A. Fabbri, New J. Phys. 10, 103001 (2008) R. Balbinot, A. Fabbri, S. Fagnocchi, A. Recati and I. Carusotto, Phys. Rev. A78, 021603 (2008) Resp. R. Balbinot (Università di Bologna) Progetto Buchi Neri Acustici Centro Fermi Roma, 19 Aprile 2012 14 / 15 R. Balbinot, S. Fagnocchi and A. Fabbri, Phys. Rev. A75, 043622 (2007) R. Balbinot, A. Fabbri, S. Fagnocchi and A. Nagar, Nuovo Cim. B121, 201 (2006) R. Balbinot, A. Fabbri, S. Fagnocchi and R. Parentani, Riv. Nuovo Cim. 28, 1 (2005) R. Balbinot, S. Fagnocchi and A. Fabbri, Phys. Rev. 71, 064019 (2005) R. Balbinot, S. Fagnocchi, A. Fabbri and G.P. Procopio, Phys. Rev. Lett. 94, 161302 (2005) Resp. R. Balbinot (Università di Bologna) Progetto Buchi Neri Acustici Centro Fermi Roma, 19 Aprile 2012 15 / 15