Abstract
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.
Highlights
Following its theoretical proposal in 1992 [1], the atom-optics kicked rotor (AOKR) has proven to be a reliable and useful work horse for studying the dynamical evolution of driven low-dimensional dynamical quantum systems [2,3,4] for more than twenty years.Its success has translated into many different fields of research, from Anderson and dynamical localisation [3,5,6,7,8] to ballistic quantum resonant motion [9,10,11]
Platforms based on Bose–Einstein condensates offer unprecedented control over the initial conditions in phase space [19,20,21], which are used to produce directed motion [21,22,23,24,25,26] and to study dynamical tunnelling [27,28], for instance
This exceptional control and dynamical stability has recently led to the realisation of discrete-time quantum walks [29]
Summary
Following its theoretical proposal in 1992 [1], the atom-optics kicked rotor (AOKR) has proven to be a reliable and useful work horse for studying the dynamical evolution of driven low-dimensional dynamical quantum systems [2,3,4] for more than twenty years. Platforms based on Bose–Einstein condensates offer unprecedented control over the initial conditions in phase space [19,20,21], which are used to produce directed motion [21,22,23,24,25,26] and to study dynamical tunnelling [27,28], for instance This exceptional control and dynamical stability has recently led to the realisation of discrete-time quantum walks [29]. We test the stability of the spinor AOKR with respect to noise sources, as it realises (i) the discrete-time quantum walk and (ii) a double kicked rotor system for studying topological phases. Our predictions underline the stability of the AOKR motion with respect to weak noise as well as the cross-over to the classical regime of stronger noise where quantum interference is dynamically degraded
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