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When two independently-prepared Bose-Einstein condensates are released from their corresponding traps, the absorbtion image of the overlapping clouds presents an interference pattern. Here we analyze a model introduced by Javanainen and Yoo…

Statistical Mechanics · Physics 2008-12-15 G. S. Paraoanu

The striped phase exhibited by a spin-$1/2$ Bose-Einstein condensate with spin-orbit coupling is characterized by the spontaneous breaking of two continuous symmetries: gauge and translational symmetry. This is a peculiar feature of…

Quantum Gases · Physics 2014-12-03 Giovanni I. Martone , Yun Li , Sandro Stringari

Interferometers, which are built using spatially propagating light or matter waves, are commonly used to measure physical quantities. These measurements are made possible by exploiting the interference between waves traveling along…

Atomic Physics · Physics 2024-03-18 Ryoichi Saito , Takashi Mukaiyama

In this article, we demonstrate a scheme capable of two-phase measurement, i.e. the simultaneous measurement of the two phase-shifts occurring in two independent Mach-Zehnder interferometers using one intensity detector. Our scheme utilizes…

Optics · Physics 2015-06-03 Utsab Khadka , Jiteng Sheng , Xihua Yang , Min Xiao

We consider the situation when the signal propagating through each arm of an interferometer has a complicated multi-mode structure. We find the relation between the particle-entanglement and the possibility to surpass the shot-noise limit…

Quantum Physics · Physics 2017-09-20 J. Chwedenczuk

We derive the asymptotic maximum-likelihood phase estimation uncertainty for any interferometric protocol where the positions of the probe particles are measured to infer the phase, but where correlations between the particles are not…

Quantum Physics · Physics 2015-05-30 Jan Chwedenczuk , Philipp Hyllus , Francesco Piazza , Augusto Smerzi

We study the variational perturbations for the mean-field solution of an interacting spinor system with underlying rotational symmetries. An approach based upon the Majorana stellar representation for mixed states and group theory is…

Quantum Gases · Physics 2024-02-08 E. Serrano-Ensástiga , F. Mireles

We theoretically investigate the ground-state properties and quantum dynamics of a pair of adjacent ring-shaped Bose-Einstein condensates that are coupled via tunneling. This device, which is the analogue of a symmetric superconducting…

Soft Condensed Matter · Physics 2009-11-07 B. P. Anderson , K. Dholakia , E. M. Wright

We present a self-consistent study of coherently coupled two-component Bose-Einstein condensates. Finite spin-flipping coupling changes the first order demixing phase transition for Bose-Bose mixtures to a second order phase transition…

Quantum Gases · Physics 2013-07-29 M. Abad , A. Recati

When a photon interferes with itself while traversing a Mach-Zehnder inteferometer, the output port where it emerges is influenced by the phase difference between the interferometer arms. This allows for highly precise estimation of the…

Quantum Physics · Physics 2022-12-28 Hannah Scott , Dominic Branford , Niclas Westerberg , Jonathan Leach , Erik M. Gauger

The temporal coherence of an ideal Bose gas increases as the system approaches the Bose-Einstein condensation threshold from below, with coherence time diverging at the critical point. However, counter-examples have been observed for…

Quantum Physics · Physics 2024-05-16 Yijun Tang , Himadri Shekhar Dhar , Rupert F. Oulton , Robert A. Nyman , Florian Mintert

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 present a detailed investigation of the coherence properties of beam splitters and Mach-Zehnder interferometers for guided atoms. It is demonstrated that such a setup permits coherent wave packet splitting and leads to the appearance of…

Soft Condensed Matter · Physics 2009-11-10 H. Kreutzmann , U. V. Poulsen , M. Lewenstein , R. Dumke , W. Ertmer , G. Birkl , A. Sanpera

Proposed, justified and tested measuring of beam spatial coherence, based on the detection of an interference visibility of the equal to intensity of beam replicas emerging under reflection from the rotated plane-parallel plate. The method…

Optics · Physics 2015-10-20 E. A. Tikhonov , A. K. Lyamets

Matter-wave interferometry with solids is highly susceptible to minute fluctuations of environmental fields, including gravitational effects from distant sources. Hence, experiments require a degree of shielding that is extraordinarily…

Quantum Physics · Physics 2022-08-23 Julen S. Pedernales , Martin B. Plenio

We present a theoretical study of the ground state of a Bose-Einstein condensate with repulsive inter-particle interactions in a double-well potential, using a restricted variational principle. Within such an approach, there is a transition…

Quantum Physics · Physics 2009-10-31 R. W. Spekkens , J. E. Sipe

We theoretically analyze the operating principles of a proposed matter-wave Sagnac interferometer utilizing Bose-Einstein condensate (BEC) phonon modes as an interference medium. Previous work found that the orbital angular momentum phonon…

Quantum Gases · Physics 2023-03-08 B. J. Mommers , M. W. J. Bromley

Interference of atomic Bose-Einstein condensates, observed in free expansion experiments, is a basic characteristic of their quantum nature. The ability to produce synthetic spin-orbit coupling in Bose-Einstein condensates has recently…

Quantum Gases · Physics 2014-09-23 Sh. Mardonov , M. Palmero , M. Modugno , E. Ya. Sherman , J. G. Muga

The ground state entanglement of the two-mode Bose-Einstein condensate is investigated through a quantum phase transition approach. The entanglement measure is taken as the order parameter and this is a non-local order parameter, which is…

Quantum Physics · Physics 2012-02-23 Wei Fan , Yan Xu. Bing Chen , Zhaoyang Chen , Xunli Feng , C. H. Oh

An atom interferometer using a Bose-Einstein condensate of $^{87}$Rb atoms is utilized for the measurement of magnetic field gradients. Composite optical pulses are used to construct a spatially symmetric Mach-Zehnder geometry. Using a…

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