Diagrammatic many-body perturbation expansion for atoms and molecules: II. Second-order and third-order ladder energies

1984 ◽  
Vol 35 ◽  
pp. C-450-C-451
Author(s):  
David M. Silver
Keyword(s):  
Perturbation Expansion ◽  
Second Order ◽  
Many Body ◽  
Third Order ◽  
Atoms And Molecules

Diagrammatic many-body perturbation expansion for atoms and molecules

1992 ◽  
Vol 72 (2-3) ◽  
pp. 115-128 ◽  
Author(s):  
D. Moncrieff ◽  
V.R. Saunders ◽  
S. Wilson
Keyword(s):  
Perturbation Expansion ◽  
Many Body ◽  
Atoms And Molecules

Diagrammatic many-body perturbation expansion for atoms and molecules

1994 ◽  
Vol 84 (1-3) ◽  
pp. 91-101 ◽  
Author(s):  
J. Lyons ◽  
D. Moncrieff ◽  
S. Wilson
Keyword(s):  
Perturbation Expansion ◽  
Many Body ◽  
Atoms And Molecules

scholarly journals A study of quantum Berezinskii–Kosterlitz–Thouless transition for parity-time symmetric quantum criticality

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Sujit Sarkar
Keyword(s):  
Imaginary Part ◽  
Quantum Criticality ◽  
Second Order ◽  
Symmetric System ◽  
Many Body ◽  
Third Order ◽  
The Real ◽  
Wide Range ◽  
Symmetric Quantum ◽  
Many Body Systems

AbstractThe Berezinskii–Kosterlitz–Thouless (BKT) mechanism governs the critical behavior of a wide range of many-body systems. We show here that this phenomenon is not restricted to conventional many body system but also for the strongly correlated parity-time (PT) symmetry quantum criticality. We show explicitly behaviour of topological excitation for the real and imaginary part of the potential are different through the analysis of second order and third order renormalization group (RG). One of the most interesting feature that we observe from our study the presence of hidden QBKT and also conventional QBKT for the real part of the potential whereas there is no such evidence for the imaginary part of the potential. We also present the exact solution for the RG flow lines. We show explicitly how the physics of single field double frequencies sine-Gordon Hamiltonian effectively transform to the dual field double frequencies sine-Gordon Hamiltonian for a certain regime of parameter space. This is the first example in any quantum many body systems. We present the results of second order and third order RG flow results explicitly for the real and imaginary part of the potential. This PT symmetric system can be experimentally tested in ultra-cold atoms. This work provides a new perspective for the PT symmetric quantum criticality.

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