scholarly journals Characteristic temperatures of a triplon system of dimerized quantum magnets

2020 ◽  
pp. 2150018
Author(s):  
Abdulla Rakhimov ◽  
Mukhtorali Nishonov ◽  
Luxmi Rani ◽  
Bilal Tanatar
Keyword(s):  
Three Dimensional ◽  
Einstein Condensation ◽  
Atomic Gases ◽  
Quantum Magnets ◽  
Ultracold Atomic Gases ◽  
Bose Einstein Condensation ◽  
Characteristic Temperatures ◽  
Inversion Temperature ◽  
Bose Einstein ◽  
Thomson Coefficient

Exploiting the analogy between ultracold atomic gases and the system of triplons, we study magneto-thermodynamic properties of dimerized quantum magnets in the framework of Bose–Einstein condensation (BEC). Particularly, introducing the inversion (or Joule–Thomson) temperature [Formula: see text] as the point where Joule–Thomson coefficient of an isenthalpic process changes its sign, we show that for a simple paramagnet, this temperature is infinite, while for three-dimensional (3D) dimerized quantum magnets it is finite and always larger than the critical temperature [Formula: see text] of BEC. Below the inversion temperature [Formula: see text], the system of triplons may be in a liquid phase, which undergoes a transition into a superfluid phase at [Formula: see text]. The dependence of the inversion temperature on the external magnetic field [Formula: see text] has been calculated for quantum magnets of TlCuCl3 and Sr3Cr2O8.

FRACTIONAL MATHEMATICAL INVESTIGATION OF BOSE–EINSTEIN CONDENSATION IN DILUTE 87Rb, 23Na AND 7Li ATOMIC GASES

2012 ◽  
Vol 26 (17) ◽  
pp. 1250096 ◽  
Author(s):  
HÜSEYİN ERTİK ◽  
HÜSEYİN ŞİRİN ◽  
DOǦAN DEMİRHAN ◽  
FEVZİ BÜYÜKKİLİÇ
Keyword(s):  
Three Dimensional ◽  
Einstein Condensate ◽  
Einstein Condensation ◽  
Atomic Gases ◽  
Transition Temperatures ◽  
Interparticle Interactions ◽  
Bose Einstein Condensation ◽  
Bose Einstein Condensate ◽  
Einstein Distribution ◽  
Bose Einstein

Although atomic Bose gases are experimentally investigated in the dilute regime, interparticle interactions play an important role on the transition temperatures of Bose–Einstein condensation. In this study, Bose–Einstein condensation is handled using fractional calculus for a Bose gas consisting of interacting bosons which are trapped in a three-dimensional harmonic oscillator. In this frame, in order to introduce the nonextensive effect, fractionally generalized Bose–Einstein distribution function which features Mittag–Leffler function is adopted. The dependence of the transition temperature of Bose–Einstein condensation on α (a measure of fractality of space) has been established. The transition temperatures for the dilute 87 Rb , 23 Na and 7 Li atomic gases have been obtained in consistent with experimental data and the nature of the interactions in the Bose–Einstein condensate has been enlightened. In the course of our investigations, we have arrived to the conclusion that for α < 1 attractive interactions and for α > 1 repulsive interactions are predominant.

Bose–Einstein condensation of ultracold atomic gases

1996 ◽  
Vol T66 ◽  
pp. 31-37 ◽  
Author(s):  
W Ketterle ◽  
M R Andrews ◽  
K B Davis ◽  
D S Durfee ◽  
D M Kurn ◽  
...  
Keyword(s):  
Einstein Condensation ◽  
Atomic Gases ◽  
Ultracold Atomic Gases ◽  
Bose Einstein Condensation ◽  
Bose Einstein

scholarly journals Bose-Einstein Condensation of Confined Atomic Gases at Ultra Low Temperatures

2017 ◽  
Vol 9 (5) ◽  
pp. 96
Author(s):  
M. Serhan
Keyword(s):  
Low Temperatures ◽  
Chemical Potential ◽  
Scattering Length ◽  
Einstein Condensation ◽  
Pitaevskii Equation ◽  
Atomic Gases ◽  
Bose Einstein Condensation ◽  
Gaussian Type ◽  
Negative Scattering Length ◽  
Bose Einstein

In this work I solve the Gross-Pitaevskii equation describing an atomic gas confined in an isotropic harmonic trap by introducing a variational wavefunction of Gaussian type. The chemical potential of the system is calculated and the solutions are discussed in the weakly and strongly interacting regimes. For the attractive system with negative scattering length the maximum number of atoms that can be put in the condensate without collapse begins is calculated.

ChemInform Abstract: Bose-Einstein Condensation in Quantum Magnets

ChemInform ◽  
2015 ◽  
Vol 46 (9) ◽  
pp. no-no
Author(s):  
Vivien Zapf ◽  
Marcelo Jaime ◽  
C. D. Batista
Keyword(s):  
Einstein Condensation ◽  
Quantum Magnets ◽  
Bose Einstein Condensation ◽  
Bose Einstein

scholarly journals Bose-Einstein condensation in quantum magnets

2014 ◽  
Vol 86 (2) ◽  
pp. 563-614 ◽  
Author(s):  
Vivien Zapf ◽  
Marcelo Jaime ◽  
C. D. Batista
Keyword(s):  
Einstein Condensation ◽  
Quantum Magnets ◽  
Bose Einstein Condensation ◽  
Bose Einstein
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