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.
Resonant Quantum Kicked Rotor as A Continuous-Time Quantum Walk / Delvecchio, Michele; Petiziol, Francesco; Wimberger, Sandro Marcel. - In: CONDENSED MATTER. - ISSN 2410-3896. - 5:1(2020), pp. 4-1-4-17.
Resonant Quantum Kicked Rotor as A Continuous-Time Quantum Walk
Michele Delvecchio;Francesco Petiziol;Sandro Wimberger
2020-01-01
Abstract
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.| File | Dimensione | Formato | |
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