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On the Husimi Version of the Classical Limit of Quantum Correlation Functions
Open AccessArticle

Resonant Quantum Kicked Rotor as A Continuous-Time Quantum Walk

1
Dipartimento di Scienze Matematiche, Fisiche ed Informatiche, Università di Parma, Parco Area delle Scienze 7/A, 43124 Parma, Italy
2
Italian National Institute for Nuclear Physics (INFN), Sezione di Milano Bicocca, Gruppo Collegato di Parma, 43124 Parma, Italy
*
Author to whom correspondence should be addressed.
Condens. Matter 2020, 5(1), 4; https://doi.org/10.3390/condmat5010004
Received: 13 November 2019 / Revised: 7 January 2020 / Accepted: 8 January 2020 / Published: 11 January 2020
(This article belongs to the Special Issue Many Body Quantum Chaos)
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. View Full-Text
Keywords: atom-optics kicked rotor; quantum resonance; continuous-time quantum walks; Bose–Einstein condensates; quantum interference atom-optics kicked rotor; quantum resonance; continuous-time quantum walks; Bose–Einstein condensates; quantum interference
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MDPI and ACS Style

Delvecchio, M.; Petiziol, F.; Wimberger, S. Resonant Quantum Kicked Rotor as A Continuous-Time Quantum Walk. Condens. Matter 2020, 5, 4.

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