Huang-Yang-Luttinger model: Gaussian dominance and Bose condensation

1999 ◽  
Vol 121 (2) ◽  
pp. 1550-1555
Author(s):  
M. Corgini
Keyword(s):  
Bose Condensation ◽  
Luttinger Model ◽  
Gaussian Dominance

Strong Coupling: Polariton Bose Condensation

2017 ◽  
Author(s):  
Alexey V. Kavokin ◽  
Jeremy J. Baumberg ◽  
Guillaume Malpuech ◽  
Fabrice P. Laussy
Keyword(s):  
Strong Coupling ◽  
Room Temperature ◽  
Elevated Temperatures ◽  
Dissipative System ◽  
Bose Condensation ◽  
Einstein Condensation ◽  
Strong Coupling Regime ◽  
Stimulated Scattering ◽  
Exciton Polaritons ◽  
Bose Einstein

In this Chapter we address the physics of Bose-Einstein condensation and its implications to a driven-dissipative system such as the polariton laser. We discuss the dynamics of exciton-polaritons non-resonantly pumped within a microcavity in the strong coupling regime. It is shown how the stimulated scattering of exciton-polaritons leads to formation of bosonic condensates that may be stable at elevated temperatures, including room temperature.

Superfluidity and Superconductivity

2018 ◽  
Author(s):  
Norman J. Morgenstern Horing
Keyword(s):  
Magnetic Field ◽  
Wave Function ◽  
Wave Packet ◽  
Long Range ◽  
Cooper Pair ◽  
Bose Condensation ◽  
Range Order ◽  
Condensed State ◽  
Long Range Order ◽  
Coherent Wave

Chapter 13 addresses Bose condensation in superfluids (and superconductors), which involves the field operator ψ‎ having a c-number component (<ψ(x,t)>≠0), challenging number conservation. The nonlinear Gross-Pitaevskii equation is derived for this condensate wave function<ψ>=ψ−ψ˜, facilitating identification of the coherence length and the core region of vortex motion. The noncondensate Green’s function G˜1(1,1′)=−i<(ψ˜(1)ψ˜+(1′))+> and the nonvanishing anomalous correlation function F˜∗(2,1′)=−i<(ψ˜+(2)ψ˜+(1′))+> describe the dynamics and elementary excitations of the non-condensate states and are discussed in conjunction with Landau’s criterion for viscosity. Associated concepts of off-diagonal long-range order and the interpretation of <ψ> as a superfluid order parameter are also introduced. Anderson’s Bose-condensed state, as a phase-coherent wave packet superposition of number states, resolves issues of number conservation. Superconductivity involves bound Cooper pairs of electrons capable of Bose condensation and superfluid behavior. Correspondingly, the two-particle Green’s function has a term involving a product of anomalous bound-Cooper-pair condensate wave functions of the type F(1,2)=−i<(ψ(1)ψ(2))+>≠0, such that G2(1,2;1′,2′)=F(1,2)F+(1′,2′)+G˜2(1,2;1′,2′). Here, G˜2 describes the dynamics/excitations of the non-superfluid-condensate states, while nonvanishing F,F+ represent a phase-coherent wave packet superposition of Cooper-pair number states and off-diagonal long range order. Employing this form of G2 in the G1-equation couples the condensed state with the non-condensate excitations. Taken jointly with the dynamical equation for F(1,2), this leads to the Gorkov equations, encompassing the Bardeen–Cooper–Schrieffer (BCS) energy gap, critical temperature, and Bogoliubov-de Gennes eigenfunction Bogoliubons. Superconductor thermodynamics and critical magnetic field are discussed. For a weak magnetic field, the Gorkov-equations lead to Ginzburg–Landau theory and a nonlinear Schrödinger-like equation for the pair wave function and the associated supercurrent, along with identification of the Cooper pair density. Furthermore, Chapter 13 addresses the apparent lack of gauge invariance of London theory with an elegant variational analysis involving re-gauging the potentials, yielding a manifestly gauge invariant generalization of the London equation. Consistency with the equation of continuity implies the existence of Anderson’s acoustic normal mode, which is supplanted by the plasmon for Coulomb interaction. Type II superconductors and the penetration (and interaction) of quantized magnetic flux lines are also discussed. Finally, Chapter 13 addresses Josephson tunneling between superconductors.

scholarly journals Quantum oscillations in the Luttinger model with quadratic band touching: Applications to pyrochlore iridates

2015 ◽  
Vol 91 (11) ◽  
Author(s):  
Jun-Won Rhim ◽  
Yong Baek Kim
Keyword(s):  
Quantum Oscillations ◽  
Luttinger Model

Preservation of sum rules for the 1p-Green function in Luttinger model

1976 ◽  
Vol 59 (2) ◽  
pp. 99-101 ◽  
Author(s):  
Alba Theumann
Keyword(s):  
Green Function ◽  
Sum Rules ◽  
Luttinger Model

scholarly journals Black Hole Bose Condensation

2013 ◽  
Vol 462 ◽  
pp. 012057
Author(s):  
Cenalo Vaz ◽  
L C R Wijewardhana
Keyword(s):  
Black Hole ◽  
Bose Condensation

Persistent currents in a one-dimensional disordered ring in the Luttinger model

1997 ◽  
Vol 55 (24) ◽  
pp. 16300-16305 ◽  
Author(s):  
Jia-Lin Zhu ◽  
Xi Chen ◽  
Yoshiyuki Kawazoe
Keyword(s):  
Persistent Currents ◽  
One Dimensional ◽  
Luttinger Model

On Bose condensation of excitons in quasi-two-dimensional semiconductor heterostructures

2012 ◽  
Vol 38 (7) ◽  
pp. 541-548 ◽  
Author(s):  
V. B. Timofeev
Keyword(s):  
Bose Condensation ◽  
Semiconductor Heterostructures ◽  
Two Dimensional
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