Criticality revealed through quench dynamics in the Lipkin–Meshkov–Glick model
Open accessAbstract
We examine the dynamics after a sudden quench in the magnetic field of the Lipkin-Meshkov-Glick model. Starting from the ground state and by employing the time-dependent fidelity, we see manifestly different dynamics are present if the system is quenched through the critical point. Furthermore, we show that the average work shows no sensitivity to the quantum phase transition; however, the free energy and irreversible work show markedly different rates of change in each phase. Finally, we assess the spectral function showing the fundamental excitations that dictate the dynamics of the postquenched system, further highlighting the qualitative differences between the dynamics in the two phases.
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The near-quantum-speed-limit evolution in the symmetry-broken phase is explained by the large spectral gap present in that phase.
“This reflects the large spectral gap present in this phase, see for example [176].”
From Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control (2017) · cites this paper as [176]
The shorter the time during which a quantum system is driven from the initial to the final energy eigenstate, the more thermodynamic resources must be expended.
“Equation (8) states that the shorter the time is during which a quantum system is driven from the initial to the final energy eigenstate, the more thermodynamic resources have to be expended [81].”
From Trade-Off Between Speed and Cost in Shortcuts to Adiabaticity (2017) · cites this paper as [81]
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Quantum speed limits: from Heisenberg’s uncertainty principle to optimal quantum control
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Self-citation
- Authors
- Campbell, S.
- Affiliations
- Queen's University Belfast (GB)
- Corresponding author
- Campbell, Steve
- ORCID
- Campbell, Steve
- Venue
- Physical Review B
- Publisher
- American Physical Society (APS)
- Published
- 2016-11-04
- Volume
- 94
- Issue
- 18
- ISSN
- 2469-9950 (ISSN-L)
- 2469-9969
- OpenAlex
- W2508025853
- Cited by
- 66
- References
- 37
- Citations by year
- 2026: 4 · 2025: 7 · 2024: 5 · 2023: 4 · 2022: 7 · 2021: 7 · 2020: 9 · 2019: 6 · 2018: 9 · 2017: 8
- FWCI
- 3.61
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical review. B./Physical review. B (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- European Cooperation in Science and Technology (MP1209)
- Topics
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Physical Sciences › Physics and Astronomy › Condensed Matter Physics › Theoretical and Computational Physics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Advanced Thermodynamics and Statistical Mechanics
- Keywords
- Lipkin-Meshkov-Glick model, quantum phase transitions, critical points, work fluctuations, free energy, irreversible work, spectral function
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