Cited by 36Spectral Theory in Mathematical PhysicsQuantum Mechanics and ApplicationsMathematical Analysis and Transform Methods

On Decaying Rate of Quantum States

Luo, Shunlong, Zhang, Zhengmin·2005·Letters in Mathematical Physics

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Crossref · 10.1007/s11005-004-5095-4

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16 of 16 references verified0 citation errors · 0 not checkable

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  • For a damped Jaynes-Cummings model with an atom resonantly coupled to a leaky single mode cavity, non-Markovian effect can speed up quantum evolution, and QSL decreases when the non-Markovian effect becomes stronger.

    “Interestingly, it is discovered that non-Markovian effect can speed up the quantum evolution with a damped Jaynes-Cummings model for an atom resonantly coupled to a leaky single mode cavity: QSL decreases when the non-Markovian effect becomes stronger [16].”

    From Quantum speedup in a memory environment (2014) · cites this paper as [16]

  • The conclusion is not only restricted to the above physical model; it can also be used to explain the phenomenon illustrated in Ref. [16].

    “We note that our conclusion is not only restricted to the above physical model, it can also be used to explain the phenomenon illustrated in Ref. [16], where the optimal trace distance for non-Markovianity of a two-level atom resonantly coupled to a leaky single model cavity is found to be D t = | b t | = √ P t [25].”

    From Quantum speedup in a memory environment (2014) · cites this paper as [16]

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Authors
Luo, S., & Zhang, Z.
Affiliations
  • Chinese Academy of Sciences (CN)
  • Carleton University (CA)
Corresponding author
Luo, Shunlong
Venue
Letters in Mathematical Physics
Published
2005-01
Volume
71
Issue
1
Pages
1-11
ISSN
  • 0377-9017 (ISSN-L)
  • 1573-0530
OpenAlex
W2035410118
Cited by
36
References
16
Citations by year
2026: 1 · 2025: 2 · 2024: 3 · 2023: 4 · 2022: 5 · 2021: 2 · 2020: 2 · 2018: 1 · 2016: 3 · 2015: 2 · 2014: 2 · 2013: 2 · 2012: 1
FWCI
1.18
Type
journal article
Language
en
Open access
closed
Locations
Letters in Mathematical Physics (publishedVersion)
Funders
  • National Natural Science Foundation of China
  • Natural Sciences and Engineering Research Council of Canada
Topics
  • Physical Sciences › Mathematics › Mathematical Physics › Spectral Theory in Mathematical Physics
  • Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
  • Physical Sciences › Mathematics › Applied Mathematics › Mathematical Analysis and Transform Methods
Keywords
Schrödinger equation, Fourier transform, energy representation, trigonometric sums, exponential sums

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