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Atom interferometers covering macroscopic domains of space-time are a spectacular manifestation of the wave nature of matter. Due to their unique coherence properties, Bose-Einstein condensates are ideal sources for an atom interferometer…

We analyze a proposed experiment [Boixo et al., Phys. Rev. Lett. 101, 040403 (2008)] for achieving sensitivity scaling better than $1/N$ in a nonlinear Ramsey interferometer that uses a two-mode Bose-Einstein condensate (BEC) of $N$ atoms.…

Quantum Physics · Physics 2015-05-19 Alexandre B. Tacla , Sergio Boixo , Animesh Datta , Anil Shaji , Carlton M. Caves

For strongly repulsive bosons in one dimension, we provide detailed modeling of the Bragg pulse used in quantum Newton's cradle-like settings or in Bragg spectroscopy experiments. By employing the Fermi-Bose mapping for a finite…

Quantum Gases · Physics 2016-06-08 R. van den Berg , B. Wouters , S. Eliëns , J. De Nardis , R. M. Konik , J. -S. Caux

Many-mode interacting Bose gases (1D,2D,3D) are simulated from first principles. The model uses a second-quantized Hamiltonian with two-particle interactions (possibly ranged), external potential, and interactions with an environment, with…

Other Condensed Matter · Physics 2009-09-29 Piotr Deuar

We discuss quantum variational optimization of Ramsey interferometry with ensembles of $N$ entangled atoms, and its application to atomic clocks based on a Bayesian approach to phase estimation. We identify best input states and generalized…

Quantum Physics · Physics 2021-12-08 Raphael Kaubruegger , Denis V. Vasilyev , Marius Schulte , Klemens Hammerer , Peter Zoller

Bloch oscillations (i.e., coherent acceleration of matter waves by an optical lattice) and Bragg diffraction are integrated into light-pulse atom interferometers with large momentum splitting between the interferometer arms, and hence…

Atomic Physics · Physics 2010-04-22 Holger Mueller , Sheng-wey Chiow , Sven Herrmann , Steven Chu

Properties of a Bose-Einstein condensate were studied by stimulated, two-photon Bragg scattering. The high momentum and energy resolution of this method allowed a spectroscopic measurement of the mean-field energy and of the intrinsic…

Condensed Matter · Physics 2009-10-31 J. Stenger , S. Inouye , A. P. Chikkatur , D. M. Stamper--Kurn , D. E. Pritchard , W. Ketterle

We use continuous measurement theory to describe the evolution of two Bose condensates in an interference experiment. It is shown how the system evolves in a single run of the experiment into a state with a fixed relative phase, while the…

atom-ph · Physics 2009-10-28 J. I. Cirac , C. W. Gardiner , M. Naraschewski , P. Zoller

We develop a time-optimal approach to force sensing using a Bose-Einstein condensate in a shaken optical lattice. Optimal control protocols are derived from a Fisher information framework and yield optimal dynamics that spontaneously…

We consider the interference of two overlapping ideal Bose-Einstein condensates. The usual description of this phenomenon involves the introduction of a so-called condensate wave functions having a definite phase. We investigate the origin…

Other Condensed Matter · Physics 2016-08-16 W. J. Mullin , R. Krotkov , F. Laloë

We study certain stationary and time-evolution problems of trapped Bose-Einstein condensates of weakly interacting alkali atoms described by a nonlinear Gross-Pitaevskii (GP) equation. We suggest a pseudospectral method involving Laguerre…

Soft Condensed Matter · Physics 2007-05-23 Paulsamy Muruganandam , Sadhan K. Adhikari

Feedback is a general idea of modifying system behaviour depending on the measurement outcomes. It spreads from natural sciences, engineering, and artificial intelligence to contemporary classical and rock music. Recently, feedback has been…

We present an analytic theory of the diffraction of (matter) waves by a lattice in the "quasi-Bragg" regime, by which we mean the transition region between the long-interaction Bragg and "channelling" regimes and the short-interaction…

Atomic Physics · Physics 2008-02-08 Holger Mueller , Sheng-wey Chiow , Steven Chu

The tilted-wave interferometer is a promising technique for the development of a reference measurement system for the highly accurate form measurement of aspheres and freeform surfaces. The technique combines interferometric measurements,…

We measure the response of an elongated Bose-Einstein condensate to a two-photon Bragg pulse. If the duration of the pulse is long, the total momentum transferred to the condensate exhibits a nontrivial behavior which reflects the structure…

Soft Condensed Matter · Physics 2009-11-07 J. Steinhauer , N. Katz , R. Ozeri , N. Davidson , C. Tozzo , F. Dalfovo

We have investigated experimentally the finite-temperature properties of a Bose-Einstein condensed cloud of $^{87}$Rb atoms in a harmonic trap. Focusing primarily on condensed fraction and expansion energy, we measure unambiguous deviations…

Other Condensed Matter · Physics 2007-05-23 Fabrice Gerbier , Joseph H. Thywissen , Simon Richard , Mathilde Hugbart , Philippe Bouyer , Alain Aspect

The cryogenic buffer gas beam (CBGB) is an important tool in the study of cold and ultracold molecules. While there are known techniques to enhance desired beam properties, such as high flux, low velocity, or reduced divergence, they have…

Atomic Physics · Physics 2021-04-14 Yuiki Takahashi , David Shlivko , Gabriel Woolls , Nicholas R. Hutzler

Rapidly scanning magnetic and optical dipole traps have been widely utilised to form time-averaged potentials for ultracold quantum gas experiments. Here we theoretically and experimentally characterise the dynamic properties of…

Matter-wave interferometry with atoms propagating in a guiding potential is expected to provide compact, scalable and precise inertial sensing. However, a rotation sensing device based on the Sagnac effect with atoms guided in a ring has…

We calculate within a Bose-Hubbard tight-binding model the matter-wave flow driven by a constant force through a Bose-Einstein condensate of Rb 87 atoms in various types of quasi-onedimensional arrays of potential wells. Interference…

Soft Condensed Matter · Physics 2009-11-10 Y. Eksioglu , P. Vignolo , M. P. Tosi