scholarly journals Density-matrix correlations in the relaxation theory of electron broadening

2018 ◽  
Vol 98 (1) ◽  
Author(s):  
T. A. Gomez ◽  
T. Nagayama ◽  
D. P. Kilcrease ◽  
M. H. Montgomery ◽  
D. E. Winget
2021 ◽  
Author(s):  
Thomas Michael Barbara

Abstract. The relationship between the classic magnetic resonance density matrix relaxation theories of Bloch and Hubbard, and the modern Lindbladian master equation methods are explored. These classic theories are in full agreement with the latest results obtained by the modern methods. A careful scrutiny shows that this also holds true for Redfield’s later treatment, offered in 1965. The early contributions of Bloch and Hubbard to rotating frame relaxation theory are also highlighted. Taken together, these seminal efforts of Bloch and Hubbard can enjoy a new birth of contemporary relevance in magnetic resonance.


2021 ◽  
Vol 2 (2) ◽  
pp. 689-698
Author(s):  
Thomas M. Barbara

Abstract. The relationship between the classic magnetic resonance density matrix relaxation theories of Bloch and Hubbard and the modern Lindbladian master equation methods are explored. These classic theories are in full agreement with the latest results obtained by the modern methods. A careful scrutiny shows that this also holds true for Redfield's later treatment, offered in 1965. The early contributions of Bloch and Hubbard to rotating-frame relaxation theory are also highlighted. Taken together, these seminal efforts of Bloch and Hubbard can enjoy a new birth of contemporary relevance in magnetic resonance.


AIAA Journal ◽  
1999 ◽  
Vol 37 ◽  
pp. 723-731
Author(s):  
Thomas Settersten ◽  
Mark Linne ◽  
James Gord ◽  
Gregory Feichtner

Author(s):  
Sambarta Chatterjee ◽  
Nancy Makri

We investigate the time evolution of the reduced density matrix (RDM) and its purity in the dynamics of a two-level system coupled to a dissipative harmonic bath, when the system is initially placed in one of its eigenstates.


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