Entanglement and violation of classical inequalities in the Hawking radiation of flowing atom condensates

Abstract

We consider a sonic black-hole scenario where an atom condensate flows through a subsonic-supersonic interface. We discuss several criteria that reveal the existence of nonclassical correlations resulting from the quantum character of the spontaneous Hawking radiation. We unify previous general work as applied to Hawking radiation analogs. We investigate the measurability of the various indicators and conclude that, within a class of detection schemes, only the violation of quadratic Cauchy-Schwarz inequalities can be discerned. We show numerical results that further support the viability of measuring deep quantum correlations in concrete scenarios.

15 pages, 6 figures

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• Assessing degrees of entanglement of phonon states in atomic Bose gases through the measurement of commuting observables
• Controlling and observing nonseparability of phonons created in time-dependent 1D atomic Bose condensates
• Roton entanglement in quenched dipolar Bose-Einstein condensates
• Stimulating the Quantum Aspects of an Optical Analog White-Black Hole
• Momentum correlations as signature of sonic Hawking radiation in Bose-Einstein condensates
• Symplectic circuits, entanglement, and stimulated Hawking radiation in analog gravity
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• Violation of Bell inequalities in an analogue black hole
• Long time universality of black-hole lasers
• Non-linear stationary solutions in realistic models for analog black-hole lasers
• Analogue quantum simulation of the Hawking effect in a polariton superfluid
• Quantum transport in the black-hole configuration of an atom condensate outcoupled through an optical lattice
• Density correlations from analogue Hawking radiation in the presence of atom losses
• Bipartite and tripartite entanglement in a Bose-Einstein acoustic black hole
• Stimulated Hawking effect and quasinormal mode resonance in a polariton simulator of field theory on curved spacetime
• Time Crystal from Self-Amplification of Spontaneous Analog Hawking Radiation