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We analyze the possible effects arising from Planck scale regime upon the interference pattern of two non-interacting Bose-Einstein condensates. We start with the analysis of the free expansion of a condensate, taken into account the…

General Relativity and Quantum Cosmology · Physics 2015-04-13 E. Castellanos , J. I. Rivas

Particle-wave duality enables the construction of interferometers for matter waves, which complement optical interferometers in precision measurement devices. This requires the development of atom-optics analogs to beam splitters, phase…

In Bose-Einstein condensates with an attractive contact interaction the stable ground state and an unstable excited state emerge in a tangent bifurcation at a critical value of the scattering length. At the bifurcation point both the…

Quantum Gases · Physics 2015-01-13 Jonas Brinker , Jacob Fuchs , Jörg Main , Günter Wunner , Holger Cartarius

A Bose-Einstein condensate may be prepared in a highly elongated harmonic trap with negligible interatomic interactions using a Feshbach resonance. If a strong repulsive interatomic interaction is switched on and the axial trap is removed…

Other Condensed Matter · Physics 2010-09-08 A. Ruschhaupt , A. del Campo , J. G. Muga

This review discusses progress in the new field of coherent matter waves, in particular with respect to Bose-Einstein condensates. We give a short introduction to Bose-Einstein condensation and the theoretical description of the condensate…

Other Condensed Matter · Physics 2009-11-10 K. Bongs , K. Sengstock

We investigate the dynamics of an open Bose-Einstein condensate system consisting of two hyperfine states of the same atomic species which are coupled by tunable Raman laser. It is already suggested that the detuning between the laser…

Quantum Gases · Physics 2015-05-27 Yajiang Hao , Qiang Gu

We present a statistical description of Bose-Einstein condensates with general higher order nonlinearities. In particular, we investigate the case of cubic-quintic nonlinearities, of particular interest for dilute condensates. The…

Other Condensed Matter · Physics 2009-11-11 M. Marklund , P. K. Shukla

Interferometers with single particles are susceptible for dephasing perturbations from the environment, such as electromagnetic oscillations or mechanical vibrations. On the one hand, this limits sensitive quantum phase measurements as it…

In an exciting experiment by MIT's group (Science 275, 637 (1997)), clear interference fringes were observed for two initially independent Bose condensates in dilute gas. Presently, there are two different theories (measurement-induced…

Statistical Mechanics · Physics 2009-11-11 Shujuan Liu , Hongwei Xiong

We theoretically analyze dissociation of a harmonically trapped Bose-Einstein condensate of molecular dimers and examine how the spatial inhomogeneity of the molecular condensate affects the conversion dynamics and the atom-atom pair…

Quantum Gases · Physics 2015-03-13 Magnus Ogren , K. V. Kheruntsyan

We consider a problem of interference between two independent condensates, which lack true long range order. We show that their interference pattern contains information about correlation functions within each condensate. As an example we…

Statistical Mechanics · Physics 2007-05-23 Anatoli Polkovnikov , Ehud Altman , Eugene Demler

By extending Einstein's separation of wave and particle parts of the second order thermal fluctuation to encompass "generalized fluctuations" in any Bose field, P. E. Gordon has proposed alternative definitions for nth order coherence and…

Quantum Physics · Physics 2007-05-23 N. M. Chase

A trapped-atom interferometer was demonstrated using gaseous Bose-Einstein condensates coherently split by deforming an optical single-well potential into a double-well potential. The relative phase between the two condensates was…

Soft Condensed Matter · Physics 2009-11-10 Y. Shin , M. Saba , T. A. Pasquini , W. Ketterle , D. E. Pritchard , A. E. Leanhardt

In experiments involving Bose condensed atoms trapped in magnetic bottles, plugging the hole in the bottle potential with a LASER beam produces a new potential with two minima, and thus a condensate order parameter (i.e. wave function) with…

Statistical Mechanics · Physics 2007-05-23 Juhao Wu , A. Widom

We analyze the advantages of using ultra-cold coherent sources of atoms for matter-wave interferometry in space. We present a proof-of-principle experiment that is based on an analysis of the results previously published in [Richard et al.,…

Other Condensed Matter · Physics 2015-06-24 Yann Le Coq , Jocelyn A. Retter , Simon Richard , Alain Aspect , Philippe Bouyer

The dynamics of a quantum anharmonic oscillator whose position is monitored by a Bose-Einstein condensate (BEC) trapped in a symmetric double well potential is studied. The (non-exponential) decoherence induced on the oscillator by the…

Quantum Physics · Physics 2014-10-29 D. Alonso , S. Brouard , D. Sokolovski

We analyze the decoherence induced on a single qubit by the interaction with a two-level boson system with critical internal dynamics. We explore how the decoherence process is affected by the presence of quantum phase transitions in the…

Quantum Physics · Physics 2015-05-14 A. Relano , J. M. Arias , J. Dukelsky , J. E. Garcia-Ramos , P. Perez-Fernandez

We theoretically analyze the observations reported in a four-path quantum interference experiment via multiple beam Ramsey interference [Phys. Rev. Lett. 86, 559 (2001)]. In this experiment, a selective scattering of photons from just one…

Quantum Physics · Physics 2019-11-06 Sandeep Mishra , Anu Venugopalan , Tabish Qureshi

We study the possibility to create many-particle Schr\"odinger cat-like states by using a Feshbach resonance to reverse the sign of the scattering length of a Bose-Einstein condensate trapped in a double-well potential. To address the issue…

Other Condensed Matter · Physics 2007-05-23 Y. P. Huang , M. G. Moore

Phase collapse and revival for Bose-Einstein condensates is a nonlinear phenomena appearing due atomic collisions. While it has been observed in a general setting involving many modes, for one-mode condensates its occurrence is forbidden by…

Quantum Physics · Physics 2022-05-26 L. G. E. Arruda , G. A. Prataviera , M. C. de Oliveira