Asymptotic behavior of a rotational population distribution in a molecular quantum-kicked rotor with ideal quantum resonance

Matsuoka, Leo; Segawa, Etsuo; Yuki, Kenta; Konno, Norio; Obata, Nobuaki

doi:10.1016/j.physleta.2017.03.032

Search citation statements

Order By: Relevance

Paper Sections

Select...

Introduction1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2017

2020

Publication Types

Select...

Article2

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

(1 citation statement)

References 39 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The experimental implementation of such momentum quantum walks was largely discussed in [18,19]. Similar observations on the interference patterns in the resonant quantum kicked rotor and possible analogies with quantum walks were reported in, e.g., [20][21][22][23][24][25][26][27]. Here, we discuss their equivalence from a general viewpoint first, showing a direct connection between the Hamiltonians describing the two processes and then by studying the probability distributions explicitly for exemplary initial states.…”

Section: Introductionsupporting

confidence: 53%

Resonant Quantum Kicked Rotor as A Continuous-Time Quantum Walk

2020

View full text Add to dashboard Cite

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.

show abstract