Theory of Bose-Einstein condensation of atomic hydrogen in a dynamic trap

Lovelace, R. V. E.; Tommila, T.

doi:10.1103/physreva.35.3597

Cited by 20 publications

(13 citation statements)

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“…[15], the exact solution was used to fit the oscillator parameters that provide the input for the harmonic approximation. In the stronglybound limit where a deep two-body bound state occurs, this choice of parameters leads to the same scaling of the energy with particle number that is observed in variational approaches [40,41]. Also, when the interactions have a diverging two-body scattering length (the unitarity limit), the two-body wave function becomes similar to the non-interacting wave function in the trap [16] and we therefore expect the harmonic approximation to be very good.…”

Section: B Harmonic Approximationmentioning

confidence: 64%

Virial expansion coefficients in the harmonic approximation

et al. 2012

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The virial expansion method is applied within a harmonic approximation to an interacting N-body system of identical fermions. We compute the canonical partition functions for two and three particles to get the two lowest orders in the expansion. The energy spectrum is carefully interpolated to reproduce ground-state properties at low temperature and the noninteracting high-temperature limit of constant virial coefficients. This resembles the smearing of shell effects in finite systems with increasing temperature. Numerical results are discussed for the second and third virial coefficients as functions of dimension, temperature, interaction, and transition temperature between low- and high-energy limits.

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Section: B Harmonic Approximationmentioning

confidence: 64%

Virial expansion coefficients in the harmonic approximation

et al. 2012

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“…Next, Lovelace et al showed [32,33] that a trap confining all hyperfine states of neutral (anti)hydrogen can be constructed using AC magnetic fields. (The situation is similar to strong focusing in particle accelerators.)…”

Section: Antihydrogen Storagementioning

confidence: 99%

Dense antihydrogen: its production and storage to envision antimatter propulsion

Nieto

Holzscheiter

Phillips

2003

J. Opt. B: Quantum Semiclass. Opt.

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We discuss the possibility that dense antihydrogen could provide a path towards a mechanism for a deep space propulsion system. We concentrate at first, as an example, on Bose-Einstein Condensate (BEC) antihydrogen. In a Bose-Einstein Condensate, matter (or antimatter) is in a coherent state analogous to photons in a laser beam, and individual atoms lose their independent identity. This allows many atoms to be stored in a small volume. In the context of recent advances in producing and controlling BECs, as well as in making antihydrogen, this could potentially provide a revolutionary path towards the efficient storage of large quantities of antimatter, perhaps eventually as a cluster or solid.

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“…(11) shows that the approximate solution describes very well the line shape, although it underestimates the overall cross section.…”

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confidence: 92%

“…We note that a for the ground state of the condensate is several times bigger than 1//2M '"with M being the mass of Cs and A = 1. The a we use takes into account the (expected) repulsive ground-state interactions, which are believed to increase the size of the condensate [10,11]. In general, atoms in excited electronic states move in a different potential from that characterizing the ground state.…”

mentioning

confidence: 99%