Quantum speed limit and a signal of quantum criticality
Open accessAbstract
We study the quantum speed limit time (QSLT) of a coupled system consisting of a central spin and its surrounding environment and the environment is described by a general XY spin-chain model. For initial pure state, we find that the local anomalous enhancement of the QSLT occurs near the critical point. In addition, we investigate the QSLT for arbitrary time-evolution state in the whole dynamics process and find that the QSLT will decay monotonously and rapidly at a large size of environment near the quantum critical point. These anomalous behaviors in the critical vicinity of XY spin-chain environment can be used to indicate the quantum phase transition point. Especially for the XX spin-chain environment, we find that the QSLT displays a sudden transition from discontinuous segmented values to a steady value at the critical point. In this case, the non-Makovianity and the Loschmidt echo are incapable of signaling the critical value of the transverse field, while the QSLT can still witness the quantum phase transition. So, the QSLT provides a further insight and sharper identification of quantum criticality.
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Other speed-up mechanisms include criticality and initial correlations between system and environment.
“Other speed-up mechanisms include criticality [168,169] and initial correlations between system and environment [170].”
From Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control (2017) · cites this paper as [168]
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- Authors
- Wei, Y.-B., Zou, J., Wang, Z.-M., & Shao, B.
- Affiliations
- Beijing Institute of Technology (CN)
- Ocean University of China (CN)
- Corresponding author
- Shao, Bin
- Venue
- Scientific Reports
- Published
- 2016-01-19
- Volume
- 6
- Issue
- 1
- Pages
- 19308-19308
- ISSN
- 2045-2322 (ISSN-L)
- PMC
- PMC4725993
- OpenAlex
- W2240221211
- Cited by
- 42
- References
- 40
- Citations by year
- 2026: 1 · 2025: 3 · 2024: 3 · 2023: 6 · 2022: 3 · 2021: 5 · 2020: 6 · 2019: 4 · 2018: 3 · 2017: 6 · 2016: 2
- FWCI
- 2.36
- Type
- journal article
- Language
- en
- Open access
- gold
- doi.org
- Locations
- Scientific Reports (publishedVersion, cc-by)
- PubMed Central (publishedVersion, cc-by)
- PubMed (publishedVersion)
- Funders
- National Natural Science Foundation of China (11274043, 11475160, 11375025)
- Natural Science Foundation of Shandong Province (ZR2014AM023, No. ZR2014AM023)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Theoretical and Computational Physics
- Keywords
- quantum speed limit, quantum criticality, quantum phase transitions, central spin model, XY spin chain, XX spin chain, open quantum systems, non-Markovianity, Loschmidt echo, transverse field, critical point detection
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