On survival probability of quantum states
Abstract
The survival probability of a quantum state encodes essential information concerning the decay rate of quantum particles and is the primary object for investigating the time–energy uncertainty relations and the occurrence of the quantum Zeno effect. The purpose of this article is to uncover some curious properties concerning the relations between the values of the survival probability of a quantum state at different times. These relations put surprising restrictions on the evolution pictures of quantum states, and also illustrate their peculiar intricacies.
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Taddei et al. and del Campo et al. were the first to extend the MT bound to any physical process, whether unitary or not.
“Taddei et al. [31] and del Campo et al. [32] were the first to extend the MT bound to any physical process, whether it was unitary or not.”
From Generalized Geometric Quantum Speed Limits (2016) · cites this paper as [32]
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References 8 · Cited by 15
- Authors
- Luo, S.
- Affiliations
- Chinese Academy of Sciences (CN)
- Corresponding author
- Luo, Shunlong
- ORCID
- Luo, Shunlong
- Venue
- Journal of Physics A: Mathematical and General
- Publisher
- IOP Publishing
- Published
- 2005-03-15
- Volume
- 38
- Issue
- 13
- Pages
- 2991-2995
- ISSN
- 0305-4470 (ISSN-L)
- 1361-6447
- OpenAlex
- W1965715965
- Cited by
- 15
- References
- 8
- Citations by year
- 2025: 2 · 2023: 2 · 2021: 1 · 2020: 1 · 2017: 3 · 2016: 1 · 2015: 3 · 2014: 1
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Journal of Physics A Mathematical and General (publishedVersion)
- Funders
- National Natural Science Foundation of China
- Natural Sciences and Engineering Research Council of Canada
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Quantum chaos and dynamical systems
- Physical Sciences › Mathematics › Mathematical Physics › Spectral Theory in Mathematical Physics
- Keywords
- survival probability, quantum states, time-energy uncertainty relation, quantum Zeno effect, quantum decay, quantum state evolution, time-dependent decay rates
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