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We apply the microscopic Bogoliubov theory of dilute Bose-Einstein condensates to analyze quantum and thermal fluctuations in a flowing atomic condensate in the presence of a sonic horizon. For the simplest case of a step-like horizon,…

Quantum Gases · Physics 2014-11-20 A. Recati , N. Pavloff , I. Carusotto

We report numerical evidence of Hawking emission of Bogoliubov phonons from a sonic horizon in a flowing one-dimensional atomic Bose-Einstein condensate. The presence of Hawking radiation is revealed from peculiar long-range patterns in the…

Other Condensed Matter · Physics 2008-11-26 Iacopo Carusotto , Serena Fagnocchi , Alessio Recati , Roberto Balbinot , Alessandro Fabbri

Artificial black holes may demonstrate some of the elusive quantum properties of the event horizon, in particular Hawking radiation. One promising candidate is a sonic hole in a Bose-Einstein condensate. We clarify why Hawking radiation…

Soft Condensed Matter · Physics 2007-05-23 U. Leonhardt , T. Kiss , P. Ohberg

We present a detailed analytical analysis of the propagation of Bogoliubov phonons on top of Bose-Einstein condensates with spatial and temporal step-like discontinuities in the hydrodynamic limit and focus on some features in the…

General Relativity and Quantum Cosmology · Physics 2011-06-24 A. Fabbri , C. Mayoral

The density density correlation function is computed for the Bogoliubov pseudoparticles created in a Bose-Einstein condensate undergoing a black hole flow. On the basis of the gravitational analogy, the method used relies only on quantum…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Paul R. Anderson , Roberto Balbinot , Alessandro Fabbri , Renaud Parentani

We study the phonon fluxes emitted when the condensate velocity crosses the speed of sound, i.e., in backgrounds which are analogous to that of a black hole. We focus on elongated one dimensional condensates and on stationary flows. Our…

Quantum Gases · Physics 2010-12-15 Jean Macher , Renaud Parentani

In this paper we extend the hydrodynamic results of [1] and study, analytically, the propagation of Bogoliubov phonons on top of Bose-Einstein condensates with step-like discontinuities by taking into account dispersion effects. We focus on…

General Relativity and Quantum Cosmology · Physics 2011-07-28 Carlos Mayoral , Alessandro Fabbri , Massimiliano Rinaldi

Hawking radiation, the spontaneous emission of thermal photons from an event horizon, is one of the most intriguing and elusive predictions of field theory in curved spacetimes. A formally analogue phenomenon occurs at the supersonic…

Quantum Gases · Physics 2017-12-06 A. Parola , M. Tettamanti , S. L. Cacciatori

Based on doubly detuned Raman transitions between (meta) stable atomic or molecular states and recently developed atom counting techniques, a detection scheme for sound waves in dilute Bose-Einstein condensates is proposed whose accuracy…

Quantum Physics · Physics 2007-05-23 Ralf Schützhold

We present a theory of the density correlations that appear in an atomic Bose-Einstein condensate as a consequence of the dynamical Casimir emission of pairs of Bogoliubov phonons when the atom-atom scattering length is modulated in time.…

Quantum Gases · Physics 2010-02-11 Iacopo Carusotto , Roberto Balbinot , Alessandro Fabbri , Alessio Recati

Inspired by a recent experiment by Steinhauer and co-workers, we present a simple model which describes the formation of an acoustic black hole in a Bose-Einstein condensate, allowing an analytical computation of the evolution in time of…

General Relativity and Quantum Cosmology · Physics 2021-03-19 Alessandro Fabbri , Roberto Balbinot

We theoretically propose a finite-size quasi-one-dimensional Bose-Einstein condensate with coherent source and drain placed at its two ends, which can in principle sustain a stationary sonic black hole with a single event horizon. Our…

Quantum Gases · Physics 2022-12-01 Caio C. Holanda Ribeiro , Sang-Shin Baak , Uwe R. Fischer

Phonon-like excitations can be imprinted into a trapped Bose-Einstein condensate of cold atoms using light scattering. If the condensate is suddenly let to freely expand, the initial phonons lose their collective character by transferring…

Soft Condensed Matter · Physics 2009-11-10 Cesare Tozzo , Franco Dalfovo

We describe interacting bosons at low temperature in spatially correlated random potentials. By a Bogoliubov expansion around the deformed mean-field condensate, the fundamental Hamiltonian for elementary excitations is derived, achieving…

Disordered Systems and Neural Networks · Physics 2011-05-13 Christopher Gaul , Cord A. Müller

We investigate the electromagnetic wave absorption process in a coherently coupled two-component Bose-Einstein condensate model in different dimensionality at zero temperature. As the analogue of phonon in the solid state physics, the…

Quantum Gases · Physics 2025-05-29 Xinyu Zhu , Meng Sun

We study the analogy between the Hawking radiation in Black-Holes and the Quantum depletion process of a Bose-Einstein condensate by using the Bogoliubov transformations method. We find that the relation between the Bogoliubov coefficients…

Quantum Gases · Physics 2020-12-17 Ivan Arraut

We study acoustic white holes in a steadily flowing atomic Bose-Einstein condensate. A white hole configuration is obtained when the flow velocity goes from a super-sonic value in the upstream region to a sub-sonic one in the downstream…

We study double-barrier interfaces separating regions of asymptotically subsonic and supersonic flow of Bose condensed atoms. These setups contain at least one black hole sonic horizon from which the analog of Hawking radiation should be…

Quantum Gases · Physics 2011-07-04 Ivar Zapata , Mathias Albert , Renaud Parentani , Fernando Sols

We study the Hartree-Fock-Bogoliubov mean-field theory as applied to a two-dimensional finite trapped Bose gas at low temperatures and find that, in the Hartree-Fock approximation, the system can be described either with or without the…

Statistical Mechanics · Physics 2007-05-23 Juan Pablo Fernandez , William J. Mullin

Observing quantum particle creation by black holes (Hawking radiation) in the astrophysical context is, in ordinary situations, hopeless. Nevertheless the Hawking effect, which depends only on kinematical properties of wave propagation in…

General Relativity and Quantum Cosmology · Physics 2014-04-08 A. Fabbri
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