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Physica A Statistical Mechanics and its Applications

Statistical properties and condensate fluctuation of attractive Bose gas with finite number of particles

Sangita Bera, M. L. Lekala, Barnali Chakrabarti, Satadal Bhattacharyya, Gaotsiwe Joel Rampho

Published Apr 7, 2017• 2 citations
Publisher
DOI
10.1016/j.physa.2017.04.006

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We study the Evans-Imry pairing phase of dilute homogeneous bose gas with attractive interaction. We find that it is generally unstable against fluctuations in pairing. Therefore in addition to the well-known mechanical collapse, the system can also collapse due to the pairing instability. Under certain conditions the critical temperature of pairing instability can be higher than that of mechanical collapse. 1 The system of bose gas with attractive interaction has received a lot of attention recently due to the success in cooling 7 Li [1] and 85 Rb [2] systems. In these trapped systems, Bose Einstein condensation can be realized at zero temperature if the number of atoms in the condensate is below a critical value [3] due to finite size effect. In 7 Li system, the condensate experiences repetitive growth and collapse as the system is cooled down [1]. In 85 Rb system, the interaction can be tuned from being repulsive to being attractive by Feshbach resonance technique. During this process, the system loses particles until the critical number is reached [2].