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We experimentally and theoretically study the peak fraction of a Bose-Einstein condensate loaded into a cubic optical lattice as the lattice potential depth and entropy per particle are varied. This system is well-described by the…

Quantum Gases · Physics 2015-06-23 David McKay , Ushnish Ray , Stefan Natu , Philip Russ , David Ceperley , Brian DeMarco

The critical temperature and condensate fraction of a trapped interacting Bose gas are investigated when both atom-atom interaction and finite-size effects are taken into account. Canonical ensemble is used to obtain the equations on the…

Soft Condensed Matter · Physics 2009-11-07 Hongwei Xiong , Shujuan Liu , Guoxiang Huang , Zhijun Xun , Cunyuan Zhang

We study Bose-Einstein condensation (BEC) in one-dimensional noninteracting Bose gases in Poisson random potentials on $\mathbb R$ with single-site potentials that are nonnegative, compactly supported, and bounded measurable functions in…

Mathematical Physics · Physics 2021-01-01 Maximilian Pechmann

Experimentally the temperature in a Bose--Einstein condensate is always deduced resorting to the comparison between the Maxwell--Boltzmann velocity distribution function and the density profile in momentum space. Though a successful method…

Statistical Mechanics · Physics 2008-09-10 Abel Camacho , Luis F. Barragan , Alfredo Macias

We report the measurement of the global thermal expansion coefficient of a confined Bose gas of $^{87}\rm Rb$ in a harmonic potential around the Bose-Einstein condensation transition temperature. We use the concept of global thermodynamic…

Quantum Gases · Physics 2020-06-25 E. D. Mercado-Gutierrez , F. J. Poveda-Cuevas , Vanderlei S. Bagnato

We present a compact, transportable system that produces Bose-Einstein condensates (BECs) near the surface of an integrated atom microchip. The system occupies a volume of 0.4 m^3 and operates at a repetition rate as high as 0.3 Hz.…

Size-invariant shape transformation is a geometric technique that allows for a clear separation between quantum size and shape effects by modifying the shape of the confinement domain without altering its size. The impact of shape on the…

Quantum Gases · Physics 2024-12-31 Cem Kurt , Altug Sisman , Alhun Aydin

We present an all-optical method for achieving molecular Bose-Einstein condensates of ${}^6\textrm{Li}$. We demonstrate this with mixtures in the lowest two (1-2), and second lowest two (2-3) hyperfine states. For the 1-2 mixture, we can…

Atomic Physics · Physics 2018-11-07 Yun Long , Feng Xiong , Vinod Gaire , Cameron Galigan , Colin V. Parker

Photon Bose-Einstein condensation and photon thermalisation have been largely studied with molecular gain media in optical cavities. Their observation with semiconductors has remained elusive despite a large body of experimental results and…

Quantum Gases · Physics 2024-03-15 Aurelian Loirette-Pelous , Jean-Jacques Greffet

We study a quantum Boltzmann-Condensation system that describes the evolution of the interaction between a well formed Bose-Einstein condensate and the quasi-particles cloud. The kinetic model is valid for a dilute regime at which the…

Analysis of PDEs · Mathematics 2018-05-22 Ricardo Alonso , Irene M. Gamba , Minh-Binh Tran

We report on our study of the free-fall expansion of a finite-temperature Bose-Einstein condensed cloud of 87Rb. The experiments are performed with a variable total number of atoms while keeping constant the number of atoms in the…

Other Condensed Matter · Physics 2009-11-13 M. Zawada , R. Abdoul , J. Chwedeńczuk , R. Gartman , J. Szczepkowski , L. Tracewski , M. Witkowski , W. Gawlik

The Bose-Einstein condensation (BEC) temperature $T_{c}$ of Cooper pairs (CPs) created from a very general interfermion interaction is determined for a {\it linear}, as well as the usual quadratic, energy {\it vs}% center-of-mass momentum…

Superconductivity · Physics 2017-08-23 F. J. Sevilla , M. Grether , M. Fortes , M. de Llano , O. Rojo , M. A. Solís , A. A. Valladares

Bose-Einstein condensate of rarified atomic gases is considered as the state formed by exchange of virtual photons, resonant to the lowest levels of atoms; such representation corresponds to the Einstein opinion about an inter-influence of…

Other Condensed Matter · Physics 2008-04-14 Mark E. Perel'man

With the integral representation of Bose functions, the Bose-Einstein condensation of non-interacting bosons in a three-dimensional harmonic trap was studied. The relation between the particle number and its phase transition temperature was…

Statistical Mechanics · Physics 2015-06-25 Sang-Hoon Kim

Coherent optical information storage capacity of an atomic Bose-Einstein condensate is examined. Theory of slow light propagation in atomic clouds is generalized to short pulse regime by taking into account group velocity dispersion. It is…

Other Condensed Matter · Physics 2009-11-13 Ozgur E. Mustecaplioglu , Devrim Tarhan

Various widely-used mean-field type theories for a dilute Bose gas are critically examined in the light of the recent discovery of Bose-Einstein condensation of atomic gases in a confined geometry. By numerically solving the mean-field…

Condensed Matter · Physics 2009-10-30 Tomoya Isoshima , Kazushige Machida

The quantum critical behavior of the Bose-Hubbard model for a description of two coupled Bose-Einstein condensates is studied within the framework of an algebraic theory. Energy levels, wavefunction overlaps with those of the Rabi and Fock…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Feng Pan , J. P. Draayer

Bose-Einstein condensation, the macroscopic ground state accumulation of particles with integer spin (bosons) at low temperature and high density, has been observed in several physical systems, including cold atomic gases and solid state…

Quantum Gases · Physics 2010-11-30 Jan Klaers , Julian Schmitt , Frank Vewinger , Martin Weitz

The critical properties of the phase transition from a normal gas to a BEC (superfluid) of a harmonically confined Bose gas are addressed with the knowledge of an equation of state of the underlying homogeneous Bose fluid. It is shown that…

Quantum Gases · Physics 2017-08-02 I. Reyes-Ayala , F. J. Poveda-Cuevas , J. A. Seman , V. Romero-Rochín

Our understanding of various states of matter usually relies on the assumption of thermodynamic equilibrium. However, the transitions between different phases of matter can be strongly affected by non-equilibrium phenomena. Here we…

Quantum Gases · Physics 2013-05-03 Alexander L. Gaunt , Richard J. Fletcher , Robert P. Smith , Zoran Hadzibabic