arXiv:0909.3357 · Physical Review A

Reentrance of Bose-Einstein condensation in spinor atomic gases in a magnetic field

Chengjun Tao, Zhirong Jiao, Qiang Gu

Published Apr 15, 2009• 2 citations

Abstract

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, the BEC temperature exhibits a nontrivial dependence on the magnetic field and a magnetic-field-induced reentrant phenomenon of BEC is observed. This phenomenon could be well understood by the competition between the linear and quadratic Zeeman effects. Reentrance of BEC in a trapped spinor Bose gas is also discussed.

DOI: 10.1103/physreva.79.043614

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arXiv:0909.3357 · Physical Review A

Reentrance of Bose-Einstein condensation in spinor atomic gases in a magnetic field

Chengjun Tao, Zhirong Jiao, Qiang Gu

Published Apr 15, 2009• 2 citations

arXiv HTML PDF

Abstract

DOI: 10.1103/physreva.79.043614

Related papers

On the role of hyperfine-interactions-mediated Zeeman effect in the condensation temperature shift of trapped atomic Bose-Einstein condensates

Fabio Briscese, S. Sergeenkov, M. Grether +1 more

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We discuss the effect of interatomic interactions on the condensation temperature

T_c

of a laboratory atomic Bose-Einstein condensate under the influence of an external trapping magnetic field. We predict that accounting for hyperfine interactions mediated Zeeman term in the mean-field approximation produces, in the case of the

403 \, G

Feshbach resonance in the

|F,m_F> = |1,1>

hyperfine state of a

^{39}K

condensate, with

F

the total spin of the atom, an experimentally observed (and not yet explained) shift in the condensation temperature

ΔT_{c}/T_{c}^{0}=b^{*}_0+b^{*}_1 (a/λ_{T}) + b^{*}_2 (a/λ_{T})^2

with

b^{*}_0 \simeq 0.0002

b^{*}_1 \simeq -3.4

and

b^{*}_2 \simeq 47

, where

a

is the s-wave scattering length, and

λ_T

is the thermal wavelength at

T_{c}^{0}

. Generic expressions for the coefficients

b^*_0

b^*_1

and

b^*_2

are also obtained, which can be used to predict the temperature shift for other Feshbach resonances of

^{39}K

or other atomic condensates.

^{87}

Rb experiments.\n\nFinally, we discuss briefly excited condensate states, or soliton-like states,\nin cigar-shaped spin-1 Bose condensates with an effective quasi-1D description,\nusing the developed nonpolynomial Schr"odinger equation.