Abstract
Non-Markovian quantum effects are typically observed in systems interacting with structured reservoirs. Discrete-time quantum walks are prime example of such systems in which, quantum memory arises due to the controlled interaction between the coin and position degrees of freedom. Here we show that the information backflow that quantifies memory effects can be enhanced when the particle is subjected to uncorrelated static or dynamic disorder. The presence of disorder in the system leads to localization effects in 1-dimensional quantum walks. We shown that it is possible to infer about the nature of localization in position space by monitoring the information backflow in the reduced system. Further, we study other useful properties of quantum walk such as entanglement, interference and its connection to quantum non-Markovianity.
Highlights
Quantum walks describe the coherent evolution of a quantum particle coupled to an external environment which in simple form can be a position space
In this work we study the intricate connections between quantum interference, entanglement and dynamical properties like non-Markovian quantum effects arising in the time evolution of quantum walks[39,40,41,42]
We study the interplay of entanglement and non-Markovian memory effects in the presence of static and dynamic disorder
Summary
Quantum walks describe the coherent evolution of a quantum particle coupled to an external environment which in simple form can be a position space. With progress in the development of quantum coherent devices and the rapid advancement in controlling these systems effectively, we are witnessing both proof of principle experiments of quantum walks and performance of useful quantum simulations in different physical systems such as cold atoms[34], ion traps[35,36] and in circuit-QED architectures[37] In view of these recent developments in engineered quantum systems it is imperative to carefully study the interplay of various quantum features and its effects on quantum dynamics. In this work we show that, by introducing uncorrelated time and position dependent disorder in discrete-time quantum walk evolution, the memory effects in the system can be enhanced This further allows us to probe the nature of localization by observing only the reduced dynamics of the particle
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