Abstract
We utilize a two-body correlated basis function and van der Waals interaction to describe interacting bosons in the anharmonic trap. We analyze the behaviour of specific heat capacity near the transition temperature in mesoscopic region. We calculate the transition exponent to define the quasi phase transition for different anharmonicity. Comparison with pure harmonic trap is also addressed.
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References
Yeomans, J.M.: Statistical mechanics of phase transitions. Clarendon Press, Oxford (1992)
Huang, K.: Statistical mechanics, 2nd edn. Wiley, New York (1987)
Dalfovo, F., et al.: Theory of Bose-Einstein condensation in trapped gases. Rev. Mod. Phys. 71, 463 (1999)
Kocharovsky, V.V., Kocharovsky, V.V.: Analytical theory of mesoscopic Bose-Einstein condensation in an ideal gas. Phys. Rev. A 81, 033615 (2010)
Tarasov, S.V., et al.: Universal scaling in the statistics and thermodynamics of a Bose-Einstein condensation of an ideal gas in an arbitrary trap. Phys. Rev. A 90, 033605 (2014)
Berrada, T., et al.: Integrated Mach-Zehner interferometer for Bose-Einstein condensates. Nat. Commun. 4, 2077 (2013)
Landsberg, P.T.: Thermodynamics—with quantum statistical illustrations. Interscience, New York (1961)
Mullin, W.J., Fernandez, J.P.: Bose-Einstein condensation, fluctuations, and recurrence relations in statistical mechanics. Am. J. Phys. 71, 661 (2003)
Das, T.K., Chakrabarti, B.: Potential harmonics expansion method for trapped interacting bosons: inclusion of two-body correlation. Phys. Rev. A 70, 063601 (2004)
Das, T.K., et al.: Behavior of a Bose-Einstein condensate containing a large number of atoms interacting through a finite-range interatomic interaction. Phys. Rev. A 78, 042705 (2007)
Bhattacharyya, S., et al.: Effects of interaction on thermodynamics of a repulsive Bose-Einstein condensate. Phys. Rev. A 88, 053614 (2013)
Bhattacharyya, S., et al.: Energy fluctuation of a finite number of interacting bosons: a correlated many-body approach. Phys. Rev. A 93, 033624 (2016). Biswas, A.: Effect of realistic interatomic interactions and two-body correlation on the heat capacity of a trapped BEC. J. Phys. B 42, 215302 (2009); Goswami, S., Das, T.K., Biswas, A.: Thermodynamic properties of ultracold Bose gas: transition exponents and universality. J. Low Temp. Phys. 172, 184 (2013)
Das, T.K., et al.: \(^{85}\)Rb Bose-Einstein condensate with tunable interaction: a quantum many body approach. Phys. Lett. A 373, 258 (2009)
Acknowledgements
Sangita Bera wants to acknowledge DST for giving financial support through INSPIRE fellowship to complete this research work.
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Lekala, M.L., Bera, S., Rampho, G.J., Chakrabarti, B., Bhattacharyya, S. (2020). Mesoscopic Bose-Einstein Condensate in Anharmonic Trap: Concept of Transition Exponent. In: Orr, N., Ploszajczak, M., Marqués, F., Carbonell, J. (eds) Recent Progress in Few-Body Physics. FB22 2018. Springer Proceedings in Physics, vol 238. Springer, Cham. https://doi.org/10.1007/978-3-030-32357-8_10
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DOI: https://doi.org/10.1007/978-3-030-32357-8_10
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