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We discuss the mean-field approximation for a trapped weakly-interacting Bose-Einstein condensate (BEC) and its connection with the exact many-body problem by deriving the Gross-Pitaevskii action of the condensate. The mechanics of the BEC…

Statistical Mechanics · Physics 2009-10-31 Luca Salasnich

We consider a two-component weakly interacting Bose-Einstein condensate in the presence of an external field which couples the two components. We express the Hamiltonian in terms of the energy eigenstates of the single-body part of the…

Soft Condensed Matter · Physics 2009-10-31 C. P. Search , P. R. Berman

Atom chips provide compact and robust platforms towards practical quantum technologies. A quick and faithful preparation of arbitrary input states for these systems is crucial but represents a very challenging experimental task. This is…

The recent achievement of Bose-Einstein condensation of chromium atoms [1] has opened longed-for experimental access to a degenerate quantum gas with long-range and anisotropic interaction. Due to the large magnetic moment of chromium atoms…

Other Condensed Matter · Physics 2007-05-23 Axel Griesmaier , Jürgen Stuhler , Tilman Pfau

Evading the Mermin-Wagner-Hohenberg no-go theorem and revisiting with rigor the ideal Bose gas confined in a square box, we explore a discrete phase transition in two spatial dimensions. Through both analytic and numerical methods we verify…

Quantum Gases · Physics 2015-01-27 Wonyoung Cho , Sang-Woo Kim , Jeong-Hyuck Park

We calculate the Bose-Einstein condensation (BEC) temperature of spin-1 atomic bosons in external magnetic field, taking into account the influence of the quadratic Zeeman effect. In case that the quadratic Zeeman coefficient is positive,…

Quantum Gases · Physics 2015-05-14 Chengjun Tao , Zhirong Jiao , Qiang Gu

An initially stable 85Rb Bose-Einstein condensate (BEC) was subjected to a carefully controlled magnetic field pulse in the vicinity of a Feshbach resonance. This pulse probed the strongly interacting regime for the condensate, with…

Statistical Mechanics · Physics 2009-11-07 N. R. Claussen , E. A. Donley , S. T. Thompson , C. E. Wieman

In this paper, a quantum Stern-Gerlach thought experiment is introduced where, in addition to the intrinsic angular momentum of an atom, the magnetic field is also treated quantum mechanically. A freely falling spin polarised Bose-Einstein…

Quantum Physics · Physics 2017-11-20 Mandip Singh

We describe a self-biased, fully permanent magnet atom chip used to study ultracold atoms and to produce a Bose-Einstein condensate (BEC). The magnetic trap is loaded efficiently by adiabatic transport of a magnetic trap via the application…

Other Condensed Matter · Physics 2008-03-24 T. Fernholz , R. Gerritsma , S. Whitlock , I. Barb , R. J. C. Spreeuw

We demonstrate that the nonlinear mean-field shift in a multi-component Bose-Einstein condensate may be eliminated by controlling the two-body interaction coefficients. This modification is achieved by, e.g., suitably engineering the…

Condensed Matter · Physics 2009-10-31 E. V. Goldstein , M. G. Moore , H. Pu , P. Meystre

We have observed Bose-Einstein condensation of an atomic gas in the (quasi-)uniform three-dimensional potential of an optical box trap. Condensation is seen in the bimodal momentum distribution and the anisotropic time-of-flight expansion…

We discuss the Bose-Einstein condensation of relativistic vector charged particles in a strong external magnetic field in very dense matter, as may be paired spin-up electrons. We show that for electrons such systems may maintain…

Astrophysics · Physics 2007-05-23 H. Perez Rojas , A. Perez Martinez , H. Mosquera Cuesta

We study Bose gases in $d$ dimensions, $d \ge 2$, with short-range repulsive pair interactions, at positive temperature, in the canonical ensemble and in the thermodynamic limit. We assume the presence of hard Poissonian obstacles and focus…

Mathematical Physics · Physics 2022-11-01 Joachim Kerner , Maximilian Pechmann

Bose-Einstein condensation has been achieved in a magnetically trapped sample of 85Rb atoms. Long-lived condensates of up to 10^4 atoms have been produced by using a magnetic-field-induced Feshbach resonance to reverse the sign of the…

Condensed Matter · Physics 2009-10-31 S. L. Cornish , N. R. Claussen , J. L. Roberts , E. A. Cornell , C. E. Wieman

We report the experimental observation of the disruption of the superfluid atomic current flowing through an array of weakly linked Bose-Einstein condensates. The condensates are trapped in an optical lattice superimposed on a harmonic…

Soft Condensed Matter · Physics 2009-11-10 F. S. Cataliotti , L. Fallani , F. Ferlaino , C. Fort , P. Maddaloni , M. Inguscio

A generalised method of using feedback to control Bose-Einstein condensates is introduced. The condensates are modelled by the Gross-Pitaevskii equation, so only semiclassical fluctations can be suppressed, and back-action from the…

Condensed Matter · Physics 2009-11-10 S. A. Haine , A. J. Ferris , J. D. Close , J. J. Hope

In recent experiments on Na Bose-Einstein condensates [S. Inouye et al, Nature 392, 151 (1998); J. Stenger et al, Phys. Rev. Lett. 82, 2422 (1999)], large loss rates were observed when a time-varying magnetic field was used to tune a…

Condensed Matter · Physics 2009-10-31 V. A. Yurovsky , A. Ben-Reuven , P. S. Julienne , C. J. Williams

In this work we study the effect of density-dependent gauge field on the collective dynamics of a harmonically trapped Bose-Einstein condensate, beyond the linear response regime. The densitydependent gauge field, as a backaction of the…

Quantum Gases · Physics 2022-05-27 Lei Chen , Qizhong Zhu

We theoretically investigate protocols based on optimal control theory (OCT) for manipulating Bose-Einstein condensates in magnetic microtraps, using the framework of the Gross-Pitaevskii equation. In our approach we explicitly account for…

Quantum Physics · Physics 2015-06-17 Georg Jäger , Ulrich Hohenester

We predict a dynamical resonant effect, which is driven by externally applied linear and quadratic Zeeman fields, in a spin-orbit-coupled spin-1 Bose-Einstein condensate. The Bose-Einstein condensate is assumed to be initialized in some…

Quantum Gases · Physics 2021-01-04 Jingtao Fan , Gang Chen , Suotang Jia