Thermodynamic properties of a rotating Bose gas in harmonic trap

Hassan, Ahmed S.; El-Badry, Azza M.; Soliman, Shemi S. M.

doi:10.1140/epjd/e2011-20249-2

Cited by 19 publications

(13 citation statements)

References 31 publications

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“…Although most research work on rotating Bose gases, both experimental and theoretical, focuses on the ground state properties or behaviors of rotating condensates, thermodynamic properties have also stimulated a number of interests [20][21][22][23][24][25]. The emphasis is mainly laid on Bose gases in the rotating frame.…”

Section: Introductionmentioning

confidence: 99%

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Thermodynamic properties of rotating trapped ideal Bose gases

Li¹,

Gu²

2014

Physics Letters A

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Ultracold atomic gases can be spined up either by confining them in rotating frame, or by introducing "synthetic" magnetic field. In this paper, thermodynamics of rotating ideal Bose gases are investigated within truncated-summation approach which keeps to take into account the discrete nature of energy levels, rather than to approximate the summation over single-particle energy levels by an integral as does in semi-classical approximation. Our results show that Bose gases in rotating frame exhibit much stronger dependence on rotation frequency than those in "synthetic" magnetic field. Consequently, BEC can be more easily suppressed in rotating frame than in "synthetic" magnetic field.

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Section: Introductionmentioning

confidence: 99%

“…Moreover, it is an effective approach to deal with Bose gases in the rotating frame [20,21,23,24]. However, problem arises when the SCA approach is applied to ideal Bose gases in "synthetic" magnetic field [23].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamic properties of rotating trapped ideal Bose gases

Li¹,

Gu²

2014

Physics Letters A

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“…Hamiltonian in Eq. (2) is characterized by a single particle energy levels [13,16,17] given by Where is the ground state energy and n + , nand n are nonnegative integers. Stability of the harmonically trapped gas in (2), requires that the rotation rate is limited to: For = = the Hamiltonian…”

Section: Basic Formalismmentioning

confidence: 99%

“…The reduction in superfluid density depresses the transition temperature and is expected to cause the specific ALYAA A. MAHMOUD et al heat capacity to be enhanced. However, BEC is usually accompanied by a cusp in the temperature dependence of the heat capacity [11,12,13,14]. The essential features of the superfluidity of BEC are clearly exhibited in the behavior of the specific heat, such as in the case of the _-point superfluid transition of liquid helium, which is observed in its heat capacity.…”

Section: Introductionmentioning

confidence: 99%

Superfluidity nature of a rotating Bose-Einstein condensation with finite size effect

Mahmoud¹

2018

Egypt. J. Physics

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W E report on a superfluid properties of a Bose-Einstein condensate in a rotating harmonic trap. We employ the semiclassical approximation, which is the density of state approach. Our approach provided the finite size effect. The superfluid fraction of bosons and its heat capacity at constant volume are investigated. The calculated results provide a good qualitative agreement with the measured experimental results for superfluid helium 4 H. Moreover, furnish useful qualitatively theoretical results for a spectroscopic measurement of the superfluid fraction of an ultracold atomic gas [N. R. Cooper and Z. Hadzibabic, Phys. Rev. Lett. 104, 030401 (2010)]. Our results show that both The superfluid fraction of bosons and its heat capacity depend on the number of the atoms. This significant dependence should be considered when the it in situ widths are used in extracting measurable experimental quantities. Our approach can be extended to consider the rotating condensate in optical potential .

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“…To follow up the method outlined in our previous paper [22,27,29,30], the accurate DOS for a many particles system is given by,…”

Section: B Density Of States Approximationmentioning

confidence: 99%

Semiclassical Hartree-Fock theory of a rotating Bose-Einstein condensation

2017

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In this paper, we investigate the thermodynamic behavior of a rotating Bose-Einstein condensation with non-zero interatomic interactions theoretically. The analysis relies on a semiclassical Hartree-Fock approximation where an integral is performed over the phase space and function of the grand canonical ensemble is derived. Subsequently, we use this result to derive several thermodynamic quantities including the condensate fraction, critical temperature, entropy and heat capacity. Thereby, we investigate the effect of the rotation rate and interactions parameter on the thermodynamic behavior. The role of finite size is discussed. Our approach can be extended to consider the rotating condensate in optical potential.

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Thermodynamic properties of a rotating Bose gas in harmonic trap

Cited by 19 publications

References 31 publications

Thermodynamic properties of rotating trapped ideal Bose gases

Thermodynamic properties of rotating trapped ideal Bose gases

Superfluidity nature of a rotating Bose-Einstein condensation with finite size effect

Semiclassical Hartree-Fock theory of a rotating Bose-Einstein condensation

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