Quantum dynamics of a two-state system in a dissipative environment

1991 ◽  
Vol 43 (7) ◽  
pp. 5397-5418 ◽  
Author(s):  
Ping Ao ◽  
Jo/rgen Rammer
2020 ◽  
Vol 101 (22) ◽  
Author(s):  
M. A. Lane ◽  
D. Matos ◽  
I. J. Ford ◽  
L. Kantorovich

2016 ◽  
Vol 93 (2) ◽  
Author(s):  
Han-gyeol Lee ◽  
Yunheung Song ◽  
Hyosub Kim ◽  
Hanlae Jo ◽  
Jaewook Ahn

2013 ◽  
Vol 27 (27) ◽  
pp. 1350163 ◽  
Author(s):  
ALESSANDRO SERGI ◽  
KONSTANTIN G. ZLOSHCHASTIEV

We consider a non-Hermitian Hamiltonian in order to effectively describe a two-level system (TLS) coupled to a generic dissipative environment. The total Hamiltonian of the model is obtained by adding a general anti-Hermitian part, depending on four parameters, to the Hermitian Hamiltonian of a tunneling TLS. The time evolution is formulated and derived in terms of the normalized density operator of the model, different types of decays are revealed and analyzed. In particular, the population difference and coherence are defined and calculated analytically. We have been able to mimic various physical situations with different properties, such as dephasing, vanishing population difference and purification.


2009 ◽  
Vol 80 (21) ◽  
Author(s):  
M. H. S. Amin ◽  
Frederico Brito

2016 ◽  
Vol 12 (1) ◽  
pp. 4172-4177
Author(s):  
Abdul Malek

The denial of the existence of contradiction is at the root of all idealism in epistemology and the cause for alienations.  This alienation has become a hindrance for the understanding of the nature and the historical evolution mathematics itself and its role as an instrument in the enquiry of the physical universe (1). A dialectical materialist approach incorporating  the role of the contradiction of the unity of the opposites, chance and necessity etc., can provide a proper understanding of the historical evolution of mathematics and  may ameliorate  the negative effect of the alienation in modern theoretical physics and cosmology. The dialectical view also offers a more plausible materialist interpretation of the bewildering wave-particle duality in quantum dynamics (2).


Author(s):  
Walter Dittrich ◽  
Martin Reuter
Keyword(s):  

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