scholarly journals Quantum Thermodynamics at Strong Coupling: Operator Thermodynamic Functions and Relations

Entropy ◽  
2018 ◽  
Vol 20 (6) ◽  
pp. 423 ◽  
Author(s):  
Jen-Tsung Hsiang ◽  
Bei-Lok Hu

2018 ◽  
Vol 98 (13) ◽  
Author(s):  
Wenjie Dou ◽  
Maicol A. Ochoa ◽  
Abraham Nitzan ◽  
Joseph E. Subotnik


2011 ◽  
Vol 25 (13) ◽  
pp. 1701-1735 ◽  
Author(s):  
JAN MAĆKOWIAK ◽  
DOMINIK BARAN

The thermodynamics of a superconductor, with pairing and quartet-binding BCS-type attractions V BCS and V, is investigated in the strong-coupling limit. The coupled equations for the gap parameters ΔG, Δg, corresponding to both potentials, are solved and the thermodynamic functions are computed for varying coupling constant g0 of the quartet attraction V. Some untypical thermal properties of tin, mercury, and high-Tc superconductors, which have not been fully explained by theory, are found to agree with this strong-coupling thermodynamics. Sufficiently strong V eliminates the BCS pairing potential and the conducting fermions behave as if they were interacting only via V. The structure of the condensate at T = 0 is studied and shown to consist almost exclusively of Cooper pairs if g0 ≤ 0.2G0 (G0 denoting the coupling constant of V BCS ), whereas if g0 > 2G0, all fermions merge into quartets.





Entropy ◽  
2016 ◽  
Vol 18 (5) ◽  
pp. 186 ◽  
Author(s):  
Gil Katz ◽  
Ronnie Kosloff


2018 ◽  
Vol 120 (12) ◽  
Author(s):  
M. Perarnau-Llobet ◽  
H. Wilming ◽  
A. Riera ◽  
R. Gallego ◽  
J. Eisert


2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Qianqian Du ◽  
Michael Strickland ◽  
Ubaid Tantary ◽  
Ben-Wei Zhang

Abstract We compute the two-loop hard-thermal-loop (HTL) resummed thermodynamic potential for $$ \mathcal{N} $$ N = 4 supersymmetric Yang-Mills (SYM). Our final result is manifestly gauge-invariant and was renormalized using only simple vacuum energy, gluon mass, scalar mass, and quark mass counter terms. The HTL mass parameters mD, MD, and mq are then determined self-consistently using a variational prescription which results in a set of coupled gap equations. Based on this, we obtain the two-loop HTL-resummed thermodynamic functions of $$ \mathcal{N} $$ N = 4 SYM. We compare our final result with known results obtained in the weak- and strong-coupling limits. We also compare to previously obtained approximately self-consistent HTL resummations and Padé approximants. We find that the two-loop HTL resummed results for the scaled entropy density is a quantitatively reliable approximation to the scaled entropy density for 0 ≤ λ ≲ 2 and is in agreement with previous approximately self-consistent HTL resummation results for λ ≲ 6.







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