Thermodynamics of Bose–Einstein gas trapped in -dimensional quartic potentials

Karabulut, Elife; Koyuncu, Mustafa; Tomak, Mehmet

doi:10.1016/j.physa.2009.12.017

Cited by 17 publications

(10 citation statements)

References 45 publications

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“…The shift in the condensation temperature respect to the ideal result, caused by the interactions among the constituents of the gas is about 5 × 10 −2 with a 1% of error [31]. For instance, under typical conditions the number of particles is about N ∼ 10 6 − 10 5 in three dimensions [34]; for one dimensional systems, the number of particles can be estimated up to N ∼ 10 4 [52,54,55]. Using typical frequencies of order 100 Hz, allows us to bound the polymer scale up to λ 2 10 −16 m 2 , which is notable.…”

Section: Condensation Temperaturementioning

confidence: 99%

Polymer Bose–Einstein condensates

Castellanos¹,

Chacón‐Acosta²

2013

Physics Letters B

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In this work we analyze a non-interacting one dimensional polymer Bose-Einstein condensate in an harmonic trap within the semiclassical approximation. We use an effective Hamiltonian coming from the polymer quantization that arises in loop quantum gravity. We calculate the number of particles in order to obtain the critical temperature. The Bose-Einstein functions are replaced by series, whose high order terms are related to powers of the polymer length. It is shown that the condensation temperature presents a shift respect to the standard case, for small values of the polymer scale. In typical experimental conditions, it is possible to establish a bound for λ 2 up to 10 −16 m 2 . To improve this bound we should decrease the frequency of the trap and also decrease the number of particles.

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Section: Condensation Temperaturementioning

confidence: 99%

Polymer Bose–Einstein condensates

Castellanos¹,

Chacón‐Acosta²

2013

Physics Letters B

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“…The presence of the interactions also affects the relative behaviour of the condensate fractions in both traps. As opposed to the non-interacting case, which has been recently studied by Karabulut et al [11], it is seen in this case that the condensation in the quartic trap exhibits a sharper increase with temperature (inset, Fig. 2).…”

Section: Resultsmentioning

confidence: 56%

“…As the strength of interactions is increased the peak-like structure of specific heat, which pertains to systems with finite particle number (see Ref. [11]), is deformed gradually. It is also seen from the figure that, for η = 0.05, the specific heat is almost zero at a temperature very close to T 0 .…”

Section: Resultsmentioning

confidence: 99%

“…Karabulut). for the BEC of an ideal Bose system trapped in D-dimensional quartic potentials [11]. In another study, Chaudhary et al [12] have studied the static and dynamic properties of a Bose-Einstein condensate in a quartic trap for one, two, and three dimensions.…”

Section: Introductionmentioning

confidence: 99%

“…The others which dealt with the bosons trapped in quartic potentials examined either a non-interacting condensate [10,11] or a weakly interacting condensate at zero temperature [12]. Unlike all these studies, we are interested in a non-rotating condensate trapped in a 2D quartic potential and, for such a system, we study the BEC of weakly interacting bosons at finite temperature.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Thermodynamics of a two-dimensional interacting Bose gas trapped in a quartic potential

et al. 2011

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Polymer Quantization in the Bogoliubov’s Regime for a Homogeneous One-Dimensional Bose-Einstein Condensate

et al. 2017

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In the present report we analyze the eventual modifications caused by the polymer quantization upon the ground state of a homogeneous one-dimensional Bose-Einstein condensate. We obtain the ground state energy of the corresponding N-body system and, consequently, the corresponding speed of sound, allowing us to explore the sensitivity of the system to corrections caused by the polymer quantization. The corrections arising from the polymer quantization can be improved for dense systems together with small values of the corresponding one-dimensional scattering length. However, these corrections remain constrained due to finite size effects of the system. The contributions of the polymer length scale to the properties of the ground state energy of the system allow us to explore, as a first approximation and when the Bogoliubov's formalism is valid, the sensitivity of this many-body system to traces caused by the discreteness of space suggested by the polymer quantization.

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Thermodynamics of Bose–Einstein gas trapped in -dimensional quartic potentials

Cited by 17 publications

References 45 publications

Polymer Bose–Einstein condensates

Polymer Bose–Einstein condensates

Thermodynamics of a two-dimensional interacting Bose gas trapped in a quartic potential

Polymer Quantization in the Bogoliubov’s Regime for a Homogeneous One-Dimensional Bose-Einstein Condensate

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