Dynamics of Loschmidt echoes and fidelity decay
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Criticality can be detected by studying a sequence of finite but increasingly large systems, a technique called finite-size scaling.
“Due to this characteristic scaling of physical observables as a function of system size in pseudo-critical systems, criticality can be detected by studying a sequence of finite but increasingly large systems, a technique called finite-size scaling [186].”
From Can one trust quantum simulators? (2012) · cites this paper as [186]
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Self-citationTheory of Quantum Loschmidt Echoes
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Fidelity amplitude of the scattering matrix in microwave cavities
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Self-citationCan quantum chaos enhance the stability of quantum computation?
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Self-citationTriangle Map: A Model of Quantum Chaos
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Self-citationDephasing representation of quantum fidelity for general pure and mixed states
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Correlation functions of scattering matrix elements in microwave cavities with strong absorption
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Self-citationStability of quantum motion: Beyond Fermi-golden-rule and Lyapunov decay
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Self-citationTime Dynamics in Chaotic Many-body Systems: Can Chaos Destroy a Quantum Computer?
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- Authors
- Gorin, T., Prosen, T., Seligman, T. H., & Žnidarič, M.
- Affiliations
- Max Planck Institute for the Physics of Complex Systems (DE)
- University of Ljubljana (SI)
- Universidad Nacional Autónoma de México (MX)
- Corresponding author
- Prosen, Tomaž
- Venue
- Physics Reports
- Publisher
- Elsevier BV
- Published
- 2006-11
- Volume
- 435
- Issue
- 2-5
- Pages
- 33-156
- ISSN
- 0370-1573 (ISSN-L)
- OpenAlex
- W2032873922
- Cited by
- 623
- References
- 304
- Citations by year
- 2026: 27 · 2025: 30 · 2024: 25 · 2023: 42 · 2022: 34 · 2021: 42 · 2020: 33 · 2019: 39 · 2018: 33 · 2017: 34 · 2016: 36 · 2015: 16 · 2014: 30 · 2013: 25 · 2012: 32
- FWCI
- 18.10
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physics Reports (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- MPG.PuRe (Max Planck Society) (submittedVersion, other-oa)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Max Planck Institute for Plasma Physics (submittedVersion)
- Max Planck Digital Library (submittedVersion, other-oa)
- arXiv (Cornell University)
- Funders
- Javna Agencija za Raziskovalno Dejavnost RS (P1-0044)
- Topics
- Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Quantum chaos and dynamical systems
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum many-body systems
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- Loschmidt echo, fidelity decay, time correlation functions, quantum chaos, semiclassical approximation, random matrix theory, microwave cavity
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