scholarly journals Quantum transport in a combined kicked rotor and quantum walk system

2021 ◽  
Vol 395 ◽  
pp. 127224
Author(s):  
Adrian Ortega ◽  
Thomas Gorin ◽  
Craig S. Hamilton
2020 ◽  
Vol 19 (8) ◽  
Author(s):  
Xi Li ◽  
Hanwu Chen ◽  
Mingyou Wu ◽  
Yue Ruan ◽  
Zhihao Liu ◽  
...  

2019 ◽  
Vol 4 (1) ◽  
pp. 10 ◽  
Author(s):  
Caspar Groiseau ◽  
Alexander Wagner ◽  
Gil Summy ◽  
Sandro Wimberger

We investigate the effect of amplitude and phase noise on the dynamics of a discrete-time quantum walk and its related evolution. Our findings underline the robustness of the motion with respect to these noise sources, and can explain the stability of quantum walks that has recently been observed experimentally. This opens the road to measure topological properties of an atom-optics double kicked rotor with an additional internal spin degree of freedom.


2020 ◽  
Vol 5 (1) ◽  
pp. 4 ◽  
Author(s):  
Michele Delvecchio ◽  
Francesco Petiziol ◽  
Sandro Wimberger

We analytically investigate the analogy between a standard continuous-time quantum walk in one dimension and the evolution of the quantum kicked rotor at quantum resonance conditions. We verify that the obtained probability distributions are equal for a suitable choice of the kick strength of the rotor. We further discuss how to engineer the evolution of the walk for dynamically preparing experimentally relevant states. These states are important for future applications of the atom-optics kicked rotor for the realization of ratchets and quantum search.


Author(s):  
Juan P. Mendez ◽  
Denis Mamaluy ◽  
Xujiao Gao ◽  
Evan M. Anderson ◽  
DeAnna M. Campbell ◽  
...  
Keyword(s):  

Author(s):  
Klaus Morawetz

The method of the equation of motion is used to derive the Martin–Schwinger hierarchy for the nonequilibrium Green’s functions. The formal closure of the hierarchy is reached by using the selfenergy which provides a recipe for how to construct selfenergies from approximations of the two-particle Green’s function. The Langreth–Wilkins rules for a diagrammatic technique are shown to be equivalent to the weakening of initial correlations. The quantum transport equations are derived in the general form of Kadanoff and Baym equations. The information contained in the Green’s function is discussed. In equilibrium this leads to the Matsubara diagrammatic technique.


Author(s):  
Branislav K. Nikolić ◽  
Kapildeb Dolui ◽  
Marko D. Petrović ◽  
Petr Plecháč ◽  
Troels Markussen ◽  
...  

Sign in / Sign up

Export Citation Format

Share Document