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Using a finite-temperature Path Integral Monte Carlo simulation (PIMC) method and finite-size scaling, we have investigated the interaction-induced shift of the phase transition temperature for Bose-Einstein condensation of homogeneous…

Statistical Mechanics · Physics 2009-11-10 Kwangsik Nho , D. P. Landau

The theory of ultracold, dilute Bose gases is the subject of intensive studies, driven by new experimental applications, which also motivate the study of Bose-Einstein condensation (BEC) in low dimensions. From the theoretical point of view…

Mathematical Physics · Physics 2013-01-09 Serena Cenatiempo

We propose a scheme for trapped atom interferometry using an interacting Bose-Einstein condensate. The condensate is controlled and spatially split in two confined external momentum modes through a series Bragg pulses. The proposed scheme…

Quantum Physics · Physics 2021-06-16 Robin Corgier , Luca Pezzè , Augusto Smerzi

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…

Quantum sensors based on coherent matter-waves are precise measurement devices whose ultimate accuracy is achieved with Bose-Einstein condensates (BEC) in extended free fall. This is ideally realized in microgravity environments such as…

Bose-Einstein condensates have been the subject of intense research in recent years due to their potential applications in quantum computing and many other areas. However, measuring the shape and size of out-of-equilibrium Bose-Einstein…

Quantum Gases · Physics 2024-03-20 J. P. G. Venassi , V. S. Bagnato , G. D. Telles

We demonstrate a two-dimensional atom interferometer in a harmonic magnetic waveguide using a Bose-Einstein condensate. Such an interferometer could measure rotation using the Sagnac effect. Compared to free space interferometers, larger…

Quantum Gases · Physics 2013-05-29 J. H. T. Burke , C. A. Sackett

We present a generalized model for the evolution of atomic wave-packets in matter-wave interferometers. This method provides an efficient tool for analyzing the performance of atomic interferometers using atom clouds prepared in a trap as a…

Quantum Gases · Physics 2020-03-27 Yonathan Japha

Interference is fundamental to wave dynamics and quantum mechanics. The quantum wave properties of particles are exploited in metrology using atom interferometers, allowing for high-precision inertia measurements [1, 2]. Furthermore, the…

Quantum Gases · Physics 2010-09-14 Christian Gross , Tilman Zibold , Eike Nicklas , Jerome Esteve , Markus K. Oberthaler

Bose-Einstein condensation is a unique phase transition in that it is not driven by inter-particle interactions, but can theoretically occur in an ideal gas, purely as a consequence of quantum statistics. This chapter addresses the question…

Quantum Gases · Physics 2016-09-16 Robert P. Smith

We develop a diagrammatic perturbation treatment to calculate the zero-temperature equation of state of the dilute gas mixture of a single spin component Bose-Einstein condensate (BEC) and a normal Fermi gas of indistinguishable (single…

Statistical Mechanics · Physics 2009-11-13 D. H. Santamore , Eddy Timmermans

Some of the most sensitive and precise measurements to date are based on matterwave interferometry with freely falling atomic clouds. Examples include high-precision measurements of inertia, gravity and rotation. In order to achieve these…

We propose a method of atom-interferometry using a spinor Bose-Einstein condensate (BEC) with a time-varying magnetic field acting as a coherent beam-splitter. Our protocol creates long-lived superpositional counterflow states, which are of…

Quantum Gases · Physics 2018-02-14 John L. Helm , Thomas P. Billam , Ana Rakonjac , Simon L. Cornish , Simon A. Gardiner

We construct a Mach-Zehnder interferometer using Bose-Einstein condensed rubidium atoms and optical Bragg diffraction. In contrast to interferometers based on normal diffraction, where only a small percentage of the atoms contribute to the…

Condensed Matter · Physics 2009-10-31 Yoshio Torii , Yoichi Suzuki , Mikio Kozuma , Takahiro Kuga , Lu Deng , E. W. Hagley

Interferometric measurements with matter waves are established techniques for sensitive gravimetry, rotation sensing, and measurement of surface interactions, but compact interferometers will require techniques based on trapped geometries.…

We present a theory of measurement-induced interference for weakly interacting Bose-Einstein condensed (BEC) gases. The many-body state resulting from the evolution of an initial fragmented (Fock) state can be approximated as a continuous…

Statistical Mechanics · Physics 2009-11-13 G. S. Paraoanu

We explore the effect of mutual gravitational interaction between ultra-cold gas atoms on the dynamics of Bose-Einstein condensates (BEC). Small amplitude oscillation of BEC is studied by applying variational technique to reduce the…

General Relativity and Quantum Cosmology · Physics 2018-12-27 Patrick Das Gupta

We calculate the Bose-Einstein condensate (BEC) occupation statistics vs. the interparticle interaction in a dilute gas with a nonuniform condensate in a box trap within the Bogoliubov approach. The results are compared against the…

Quantum Gases · Physics 2021-03-01 Sergey V. Tarasov , Vladimir V. Kocharovsky , Vitaly V. Kocharovsky

Bose-Einstein condensate (BEC) is considered under conditions of Feshbach resonance in two-atom collisions due to a coupling of atomic pair and resonant molecular states. The association of condensate atoms can form a molecular BEC, and the…

Soft Condensed Matter · Physics 2007-05-23 Vladimir A. Yurovsky

Quantum sensors based on light-pulse atom interferometers allow for high-precision measurements of inertial and electromagnetic forces such as the accurate determination of fundamental constants as the fine structure constant or testing…