scholarly journals Geometric phase of a two-level system in a dissipative environment

2009 ◽  
Vol 79 (5) ◽  
Author(s):  
Kazuo Fujikawa ◽  
Ming-Guang Hu
Keyword(s):  
Geometric Phase ◽  
Level System ◽  
Dissipative Environment

scholarly journals ENVIRONMENTALLY INDUCED CORRECTIONS TO THE GEOMETRIC PHASE IN A TWO-LEVEL SYSTEM

2008 ◽  
Vol 06 (supp01) ◽  
pp. 707-713 ◽  
Author(s):  
FERNANDO C. LOMBARDO ◽  
PAULA I. VILLAR
Keyword(s):  
Geometric Phase ◽  
Open Systems ◽  
Level System ◽  
Spin Models ◽  
Decoherence Rate

We calculate the geometric phase for different open systems (spin-boson and spin-spin models). We study not only how they are corrected by the presence of the different type of environments but also discuss the appearence of decoherence effects. These should be taken into account when planning experimental setups to study the geometric phase in the nonunitary regime. We propose a model with slow decoherence rate in which the geometric phase is still modified and might be measured.

Geometric phase in open two-level system

2006 ◽  
Vol 74 (6) ◽  
pp. 958-964 ◽  
Author(s):  
Z. S Wang ◽  
L. C Kwek ◽  
C. H Lai ◽  
C. H Oh
Keyword(s):  
Geometric Phase ◽  
Level System

scholarly journals NON-HERMITIAN QUANTUM DYNAMICS OF A TWO-LEVEL SYSTEM AND MODELS OF DISSIPATIVE ENVIRONMENTS

2013 ◽  
Vol 27 (27) ◽  
pp. 1350163 ◽  
Author(s):  
ALESSANDRO SERGI ◽  
KONSTANTIN G. ZLOSHCHASTIEV
Keyword(s):  
Time Evolution ◽  
Density Operator ◽  
Quantum Dynamics ◽  
Population Difference ◽  
Level System ◽  
Different Types ◽  
Dissipative Environments ◽  
Dissipative Environment

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.

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