scholarly journals Origin of a nonlinear contribution to the shift of the critical temperature in atomic Bose-Einstein condensates

JETP Letters ◽  
2015 ◽  
Vol 101 (6) ◽  
pp. 376-379 ◽  
Author(s):  
S. Sergeenkov ◽  
F. Briscese ◽  
M. Grether ◽  
M. de Llano
Keyword(s):  
Critical Temperature ◽  
Nonlinear Contribution ◽  
Bose Einstein

BOSE–EINSTEIN STATISTICS IN A DISCRETE SPECTRUM TRAP

2004 ◽  
Vol 18 (04n05) ◽  
pp. 555-563 ◽  
Author(s):  
ENRICO CELEGHINI ◽  
MARIO RASETTI
Keyword(s):  
Critical Temperature ◽  
Low Temperature ◽  
Specific Heat ◽  
Discrete Spectrum ◽  
Harmonic Trap ◽  
Statistical Properties ◽  
Bose Einstein ◽  
The Continuum

A detailed description of the statistical properties of a system of bosons in a harmonic trap at low temperature, which is expected to bear on the process of BE condensation, is given resorting only to the basic postulates of Gibbs and Bose, without assuming equipartition nor continuum statistics. Below Tc such discrete spectrum theory predicts for the thermo-dynamical variables a behavior different from the continuum case. In particular a new critical temperature Td emerges where the specific heat exhibits a λ-like spike.

A MODEL OF BOSE–EINSTEIN CONDENSATION WITH ITINERANT AND LOCALIZED STATES

2005 ◽  
Vol 19 (21) ◽  
pp. 1011-1034
Author(s):  
FUXIANG HAN ◽  
ZHIRU REN ◽  
YUN'E GAO
Keyword(s):  
Critical Temperature ◽  
Anderson Model ◽  
Localized States ◽  
Mean Field Approximation ◽  
Einstein Condensation ◽  
Model Parameters ◽  
Zeroth Order ◽  
Energy Bands ◽  
Bose Einstein Condensation ◽  
Bose Einstein

We propose a model that includes itinerant and localized states to study Bose–Einstein condensation of ultracold atoms in optical lattices (Bose–Anderson model). It is found that the original itinerant and localized states intermix to give rise to a new energy band structure with two quasiparticle energy bands. We have computed the critical temperature Tc of the Bose–Einstein condensation of the quasiparticles in the Bose–Anderson model using our newly developed numerical algorithm and found that Tc increases as na3 (the number density times the lattice constant cubed) increases according to the power law Tc≈18.93(na3)0.59 nK for na3<0.125 and according to the linear relation Tc≈8.75+10.53na3 nK for 1.25<na3<12.5 for the given model parameters. With the self-consistent equations for the condensation fractions obtained within the Bogoliubov mean-field approximation, the effects of the on-site repulsion U on the quasiparticle condensation are investigated. We have found that, for values up to several times the zeroth-order critical temperature, U enhances the zeroth-order condensation fraction at intermediate temperatures and effectively raises the critical temperature, while it slightly suppresses the zeroth-order condensation fraction at very low temperatures.

Possible Bose-Einstein Condensation of Polygonal Clusters in 2D-Materials

2019 ◽  
Vol 297 ◽  
pp. 204-208
Author(s):  
Abid Boudiar
Keyword(s):  
Free Energy ◽  
Critical Temperature ◽  
Ground State ◽  
Low Temperatures ◽  
2D Materials ◽  
Equilibrium Structure ◽  
Einstein Condensation ◽  
Bose Einstein Condensation ◽  
Exchange Approximation ◽  
Bose Einstein

This study investigates the possibility of Bose-Einstein condensation (BEC) in 2D-nanoclusters. A ground state equilibrium structure involves the single phonon exchange approximation. At critical temperature, the specific heat, entropy, and free energy of the system can be determined. The results support the existence of BEC in nanoclusters, and they lead to predictions of the behaviour of 2Dmaterials at low temperatures.

Bose–Einstein condensation at different temperatures below the critical temperature

2018 ◽  
Vol 32 (17) ◽  
pp. 1850194 ◽  
Author(s):  
Abhishek Das
Keyword(s):  
Critical Temperature ◽  
Einstein Condensation ◽  
Bose Einstein Condensation ◽  
Different Temperatures ◽  
Bose Einstein

In this paper, we endeavor to show that the phenomenon of Bose–Einstein condensation can take place at discrete temperatures lower than the known critical temperature value.

Critical temperature of a Bose–Einstein condensate in a 3D non-cubic optical lattice

2010 ◽  
Vol 405 (23) ◽  
pp. 4768-4771 ◽  
Author(s):  
Ahmed S. Hassan ◽  
Azza M. El-Badry ◽  
Shemi S.M. Soliman
Keyword(s):  
Critical Temperature ◽  
Optical Lattice ◽  
Einstein Condensate ◽  
Bose Einstein Condensate ◽  
Bose Einstein

scholarly journals Bose polarons near quantum criticality

Science ◽  
2020 ◽  
Vol 368 (6487) ◽  
pp. 190-194 ◽  
Author(s):  
Zoe Z. Yan ◽  
Yiqi Ni ◽  
Carsten Robens ◽  
Martin W. Zwierlein
Keyword(s):  
Critical Temperature ◽  
Quantum Critical Point ◽  
Spectral Width ◽  
Quantum Criticality ◽  
Einstein Condensate ◽  
Resonant Interactions ◽  
Bose Einstein Condensate ◽  
Modern Physics ◽  
Quantum Critical ◽  
Bose Einstein

The emergence of quasiparticles in interacting matter represents one of the cornerstones of modern physics. However, in the vicinity of a quantum critical point, the existence of quasiparticles comes under question. Here, we created Bose polarons near quantum criticality by immersing atomic impurities in a Bose-Einstein condensate (BEC) with near-resonant interactions. Using radiofrequency spectroscopy, we probed the energy, spectral width, and short-range correlations of the impurities as a function of temperature. Far below the superfluid critical temperature, the impurities formed well-defined quasiparticles. Their inverse lifetime, given by their spectral width, increased linearly with temperature at the so-called Planckian scale, consistent with quantum critical behavior. Close to the BEC critical temperature, the spectral width exceeded the impurity’s binding energy, signaling a breakdown of the quasiparticle picture.

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