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We have studied analytically the approximate solutions to the gapped mode equations in the hydrodynamic regime for a class of binary Bose-Einstein condensate acoustic black holes. The horizon from the transonic flow is formed by…

General Relativity and Quantum Cosmology · Physics 2023-05-10 Wei-Can Syu , Da-Shin Lee

We propose emulation of Hawking radiation (HR) by means of acoustic excitations propagating on top of persistent current in an atomic Bose-Einstein condensate (BEC) loaded in an annular confining potential. The setting is initially created…

Quantum Gases · Physics 2020-10-21 Igor Yatsuta , Boris Malomed , Alexander Yakimenko

In this paper we develop a gapless theory of BEC which can be applied to both trapped and homogeneous gases at zero and finite temperature. The many-body Hamiltonian for the system is written in a form which is approximately quadratic with…

Statistical Mechanics · Physics 2009-10-31 S. A. Morgan

We investigate the properties of the condensates of cold atoms at zero temperature in the tunable binary Bose-Einstein condensate system with a Rabi transition between atomic hyperfine states. We use this system to examine the effect of…

General Relativity and Quantum Cosmology · Physics 2019-07-02 Wei-Can Syu , Da-Shin Lee , Chi-Yong Lin

Taking advantage of the known exact mapping of the one-dimensional Hard Core Bose (HCB) fluid onto a non-interacting spinless fermion gas, we examine in full detail a thought experiment on cold atoms confined in a quasi-one-dimensional…

Quantum Gases · Physics 2020-10-08 Manuele Tettamanti , Sergio L. Cacciatori , Alberto Parola

We theoretically study stimulated and spontaneous Hawking emission from an analog horizon for spin modes in a two-component Bose-Einstein condensate, both with and without a coherent coupling between the two components. We highlight the…

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

Quasi-one dimensional outflow from a dilute gas Bose-Einstein condensate reservoir is a promising system for the creation of analogue Hawking radiation. We use numerical modeling to show that stable sonic horizons exist in such a system…

Other Condensed Matter · Physics 2009-11-13 S. Wuester , C. M. Savage

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

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

In this paper, we study the spectrum of the Regge poles (RPs), which are the counterparts of quasinormal modes, in a draining bathtub vortex within a two-component Bose-Einstein condensate (BEC) system. We study the gapped excitations of…

General Relativity and Quantum Cosmology · Physics 2025-09-08 Wei-Can Syu , Tien Hsieh , Da-Shin Lee

We study the generation of two-mode entanglement in a two-component Bose-Einstein condensate trapped in a double-well potential. By applying the Holstein-Primakoff transformation, we show that the problem is exactly solvable as long as the…

Quantum Physics · Physics 2009-11-10 H. T. Ng , P. T. Leung

The work is divided in three parts. We devote the first part to the study of analog Hawking radiation in Bose-Einstein condensates. We study numerically the birth of a sonic black hole in an outcoupled Bose-Einstein condensate after…

Quantum Gases · Physics 2015-11-12 J. R. M. de Nova

We prove rigorously the occurrence of zero-mode Bose-Einstein condensation for a class of continuous homogeneous systems of boson particles with superstable interactions. This is the first example of a translation invariant continuous…

Mathematical Physics · Physics 2007-05-23 J. Lauwers , A. Verbeure , V. A. Zagrebnov

We theoretically study the entanglement between phonons spontaneously generated in atomic Bose-Einstein condensates by analog Hawking and dynamical Casimir processes. The quantum evolution of the system is numerically modeled by a truncated…

Quantum Gases · Physics 2014-10-06 Stefano Finazzi , Iacopo Carusotto

We experimentally and theoretically investigate the lowest-lying axial excitation of an atomic Bose-Einstein condensate in a cylindrical box trap. By tuning the atomic density, we observe how the nature of the mode changes from a…

The sonic analogue of Hawking radiation can now be experimentally recreated in Bose-Einstein Condensates that contain an acoustic black hole. In these experiments the signal strength and analogue Hawking temperature increase for denser…

Quantum Gases · Physics 2022-11-30 Yash Palan , Sebastian Wüster

The zero-temperature system of two dilute overlapping Bose-Einstein condensates is unstable against long wavelength excitations if the interaction strength between the distinguishable bosons exceeds the geometric mean of the like-boson…

Condensed Matter · Physics 2009-10-30 Eddy Timmermans

We investigate quantum entanglement in an analogue black hole realized in the flow of a Bose-Einstein condensate. The system is described by a three-mode Gaussian state and we construct the corresponding covariance matrix at zero and finite…

Quantum Gases · Physics 2021-12-15 Mathieu Isoard , Nadia Milazzo , Nicolas Pavloff , Olivier Giraud

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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