Reentrance of Bose-Einstein condensation in spinor atomic gases in magnetic field
Chengjun Tao, Zhirong Jiao, and Qiang Gu

TL;DR
This paper investigates how external magnetic fields and quadratic Zeeman effects influence the Bose-Einstein condensation temperature in spin-1 atomic gases, revealing a reentrant BEC phenomenon due to competing Zeeman effects.
Contribution
It introduces a detailed calculation of BEC temperature considering quadratic Zeeman effects, demonstrating a magnetic-field-induced reentrant BEC in spinor gases.
Findings
Reentrant BEC occurs due to competition between linear and quadratic Zeeman effects.
The BEC temperature shows nontrivial dependence on magnetic field strength.
Reentrant phenomena are also discussed for trapped spinor Bose gases.
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 dependance 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.
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