Medium modification of two-particle scattering in nonideal Bose systems

Stein, H.; Morawetz, Klaus; Röpke, G.

doi:10.1103/physreva.55.1945

Cited by 7 publications

(9 citation statements)

References 26 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…is linked to the scattering length by the small momentum expansion, p = k. From (8) we obtain [26] a = − π λ…”

Section: Many-body T-matrix Approximation and Bethe-salpeter Equmentioning

confidence: 99%

“…For further relations of the T-matrices in different dimensions see [30]. In [26] the expression (12) was discussed and it was found that this medium-dependent scattering length diverges at the Bose-Einstein transition characterized by the critical density and temperature. We will employ (12) as a good measure of approaching the Bose-Einstein condensate.…”

Section: Many-body T-matrix Approximation and Bethe-salpeter Equmentioning

confidence: 99%

“…Now we can perform the limit to the contact potential using a β-dependent coupling constant λ(β) in such a way that the free two-particle scattering length a 0 in the absence of many-body effects, f k → 0, is reproduced [26]. From (10) we have…”

Section: Many-body T-matrix Approximation and Bethe-salpeter Equmentioning

confidence: 99%

See 2 more Smart Citations

Phase diagram for interacting Bose gases

2007

Self Cite

View full text Add to dashboard Cite

We propose a new form of the inversion method in terms of a selfenergy expansion to access the phase diagram of the Bose-Einstein transition. The dependence of the critical temperature on the interaction parameter is calculated. This is discussed with the help of a new condition for Bose-Einstein condensation in interacting systems which follows from the pole of the T-matrix in the same way as from the divergence of the medium-dependent scattering length. A many-body approximation consisting of screened ladder diagrams is proposed which describes the Monte Carlo data more appropriately. The specific results are that a non-selfconsistent T-matrix leads to a linear coefficient in leading order of 4.7, the screened ladder approximation to 2.3, and the selfconsistent T-matrix due to the effective mass to a coefficient of 1.3 close to the Monte Carlo data.

show abstract

“…is linked to the scattering length by the small momentum expansion, p = k. From (8) we obtain [26] a = − π λ…”

Section: Many-body T-matrix Approximation and Bethe-salpeter Equmentioning

confidence: 99%

Section: Many-body T-matrix Approximation and Bethe-salpeter Equmentioning

confidence: 99%

See 1 more Smart Citation

Phase diagram for interacting Bose gases

2007

Self Cite

View full text Add to dashboard Cite

show abstract

“…We can observe [67] that the interaction is behaved such that the denominator vanishes itself when approaching the phase transition which means…”

Section: Phase Diagram Of Interacting Photonsmentioning

confidence: 98%

“…We will derive the medium-dependent scattering range from solving the Bethe-Salpeter equation which diverges near the phase transition. This method has been used before in [62,67] such that we might present it here only briefly. The Bethe-Salpeter equation for the many-body Tmatrix with a center-of-the-mass momentum K, and incoming and outgoing difference momenta p and p ′ of the two particles, respectively, can be solved…”

Section: Phase Diagram Of Interacting Photonsmentioning

confidence: 99%

Bose condensation of squeezed light

Morawetz

2019

Phys. Rev. B

Self Cite

View full text Add to dashboard Cite

Light with a chemical potential and no mass is shown to possess a general phase-transition curve to Bose-Einstein condensation. This limiting density and temperature range is found by the diverging in-medium potential range of effective interaction. The inverse expansion series of the effective interaction from Bethe-Salpeter equation is employed exceeding the ladder approximation. While usually the absorption and emission with Dye molecules is considered, here it is proposed that squeezing can create also such a mean interaction leading to a chemical potential. The equivalence of squeezed light with a complex Bogoliubov transformation of interacting Bose system with finite lifetime is established with the help of which an effective gap is deduced where the squeezing parameter is related to an equivalent gap by |∆(ω)| = ω/(coth 2|z(ω)| − 1). This gap phase creates a finite condensate in agreement with the general limiting density and temperature range. In this sense it is shown that squeezing induces the same effect on light as an interaction leading to possible condensation. The phase diagram for condensation is presented due to squeezing and the appearance of two gaps is discussed.

show abstract