Analysis and calibration of absorptive images of Bose–Einstein condensate at nonzero temperatures

Szczepkowski, J.; Gartman, R.; Witkowski, Marcin; Tracewski, Łukasz; Zawada, M.; Gawlik, Wojciech

doi:10.1063/1.3125051

Cited by 17 publications

(23 citation statements)

References 22 publications

(34 reference statements)

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“…Yet, a closer look at the last expression of Eq. (20) indicates that the product PV not only has the units of energy, the right hand side is nothing but the virial expression for the "pressure" [42]. That is, if we replace the harmonic potential by one of a vessel of rigid walls, then P and V are replaced by p and V in Eq.…”

Section: Global Thermodynamics Of a Confined Fluidmentioning

confidence: 99%

“…Returning to the characteristics of the here proposed equation of state for the homogeneous fluid, we insist in its motivation by the experimental fittings to density profiles of ultracold gases [19,20]. The experiments clearly show that, when BE condensation is reached, the thermal part of the cloud is fitted quite well by a classical ideal gas, while the condensate peak allows for a Thomas-Fermi (TF) adjustment [4,5].…”

Section: Introductionmentioning

confidence: 99%

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Critical properties of weakly interacting Bose gases as modified by a harmonic confinement

et al. 2017

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Abstract. 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 while the presence of the confinement trap arrests the usual divergences of the isothermal compressibility and heat capacities, the critical behavior manifests itself now in the divergence of derivatives of the mentioned susceptibilities. This result is illustrated with a mean-field like model of an equation of state for the homogeneous particle density as a function of the chemical potential and temperature of the gas. The model assumes the form of an ideal Bose gas in the normal fluid while in the superfluid state a function is proposed such that, both, asymptotically reaches the Thomas-Fermi solution of a weakly interacting Bose gas at large densities and low temperatures and, at the transition, matches the critical properties of the ideal Bose gas. With this model we obtain the global thermodynamics of the harmonically confined gas, from which we analyze its critical properties. We discuss how these properties can be experimentally tested.

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Section: Global Thermodynamics Of a Confined Fluidmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Critical properties of weakly interacting Bose gases as modified by a harmonic confinement

et al. 2017

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“…This is a mechanism for slowing down the movement of atoms or cooling of gas. Thus, at the expense of its kinetic energy, an atom emits more light energy than it absorbs, and gradually reduces its speed, and therefore the gas cools (Szczepkowski et al, 2009). …”

Section: Bose-einstein Condensate and The Part It Plays In Creating Cmentioning

confidence: 99%

Role of Bose-Einstein Condensate and Bioplasma in Shaping Consciousness

Adamski¹

2016

Neuroquantology

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Quantum mechanics is capable of contributing to the development of psychological knowledge by creating new models to explain the mechanism of perception as well as the nature of mental processes. This knowledge will in turn facilitate the combination of electronic and information systems with the human biological system in robots. Such an arrangement, in the form of mutually coupled systems, can contribute to humans' becoming considerably more intelligent, acquiring better social skills, developing a universal management system, being provided with a wide range of language learning opportunities etc. It will pave the way for new educational systems, based on quantum computer science and artificial intelligence. In an electronic model of life, the biological system is understood to be a system composed of piezoelectric and pyroelectric devices, protein semiconductors, nucleic acids and melanin. In this system control is effected through a network of electron, photon, phonon, spin and soliton information channels as well as bioplasma. Each of these channels can in itself be a carrier of information, or they can function collectively as a group in the bioplasma system.

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“…We therefore extract the temperature using the method presented in [15]. The central interacting region is systematically excluded from our measurements by performing multiple fits of a Bose-enhanced Gaussian to the wings of the profile, with a varying cut-off width for the excluded central region.…”

Section: Temperature Measurementmentioning

confidence: 99%

“…For temperatures below T c , we perform a bimodal fit of a Bose-enhanced Gaussian to the thermal fraction, and a Thomas-Fermi profile to the condensed fraction using the method presented in [15]. Integration over the entire bimodal profile gives the total optical density n OD , which is directly proportional to the number of atoms N , given by N = n OD A p /σ.…”

Section: B)mentioning

confidence: 99%

Calorimetry of a harmonically trapped Bose gas

et al. 2015

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We experimentally study the energy-temperature relationship of a harmonically trapped BoseEinstein condensate by transferring a known quantity of energy to the condensate and measuring the resulting temperature change. We consider two methods of heat transfer, the first using a free expansion under gravity and the second using an optical standing wave to diffract the atoms in the potential. We investigate the effect of interactions on the thermodynamics and compare our results to various finite temperature theories.

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Analysis and calibration of absorptive images of Bose–Einstein condensate at nonzero temperatures

Cited by 17 publications

References 22 publications

Critical properties of weakly interacting Bose gases as modified by a harmonic confinement

Critical properties of weakly interacting Bose gases as modified by a harmonic confinement

Role of Bose-Einstein Condensate and Bioplasma in Shaping Consciousness

Calorimetry of a harmonically trapped Bose gas

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