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Topic · Statistical and Nonlinear Physics

Quantum chaos and dynamical systems

Quantum chaos and dynamical systems is a research topic within Statistical and Nonlinear Physics. Science Explorer counts 47k research works in it since 1950. 10.0% of them reached the world's top 10% most cited for their field and year.

This cluster of papers explores the characterization and properties of chaotic quantum dynamics, including the study of Lagrangian coherent structures, semiclassical theory, level fluctuation laws, decoherence rates, and quantum resonances. It covers a wide range of topics from quantum chaos to dynamical systems and Hamiltonian dynamics.

  • Quantum Chaos
  • Lagrangian Coherent Structures
  • Semiclassical Theory
  • Level Fluctuation Laws
  • Decoherence Rate
  • Dynamical Systems
  • Wave Packet Revivals
  • Hamiltonian Dynamics
  • Random Matrices
  • Quantum Resonances
Research works
47k
fractional, since 1950
In the world top 10%
4.8k
per year above
Top-10% rate
10.0%
share of its works in the world top 10%
Growth, 2018-21 → 2022-25
+13%
the tick is no change
Largest producer
China
31% of the 10 largest, 2022-now
Quantum chaos and dynamical systems

Which countries lead Quantum chaos and dynamical systems research?

By volume, China and the United States publish the most (1.2k and 666 works in 2022-now).

By volume, 2022-now

  1. 1 China 1.2k works
  2. 2 United States 666 works
  3. 3 Russia 388 works
  4. 4 France 277 works
  5. 5 India 261 works
  6. 6 Germany 232 works
  7. 7 Italy 205 works
  8. 8 Brazil 194 works
  9. 9 Japan 187 works
  10. 10 United Kingdom 182 works

How concentrated that is

The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.

China: 31.3%United States: 17.6%Russia: 10.3%France: 7.3%6 others listed: 33.4%31%largest
China1,184 · 31.3%United States666 · 17.6%Russia388 · 10.3%France277 · 7.3%6 others listed1,262 · 33.4%

Shares of the rows listed above, not of the whole node.

Which institutions lead Quantum chaos and dynamical systems research?

By volume in 2022-now, Russian Academy of Sciences publishes the most Quantum chaos and dynamical systems research, followed by Centre National de la Recherche Scientifique and Chinese Academy of Sciences.

By volume, 2022-now

  1. 1 Russian Academy of SciencesRussia 133 works
  2. 2 Centre National de la Recherche ScientifiqueFrance 131 works
  3. 3 Chinese Academy of SciencesChina 50 works
  4. 4 Lomonosov Moscow State UniversityRussia 45 works
  5. 5 National Research University Higher School of EconomicsRussia 34 works
  6. 6 Max Planck SocietyGermany 30 works
  7. 7 Universitat Autònoma de BarcelonaSpain 27 works
  8. 8 Universidade Estadual Paulista (Unesp)Brazil 26 works
  9. 9 Kyoto UniversityJapan 26 works
  10. 10 Sun Yat-sen UniversityChina 25 works

Who are the leading researchers in Quantum chaos and dynamical systems?

The most-cited researchers publishing on Quantum chaos and dynamical systems include Zhong Lin Wang, Kieron Burke and Xiaogang Wang.

  1. 1 Zhong Lin Wang United States 491k citations
  2. 2 Kieron Burke United States 276k citations
  3. 3 Xiaogang Wang China 260k citations
  4. 4 Kenji Watanabe Japan 237k citations
  5. 5 Donald G. Truhlar United States 230k citations
  6. 6 Takashi Taniguchi Japan 227k citations
  7. 7 Harry Eugene Stanley United States 198k citations

Ranked by citations received across their whole record, among researchers with at least three works on this topic.

What are the most cited papers in Quantum chaos and dynamical systems?

The most cited paper in Quantum chaos and dynamical systems is "Numerical integration of the cartesian equations of motion of a system with constraints: molecular dynamics of n-alkanes" (Jean-Paul Ryckaert, Giovanni Ciccotti, Herman J. C. Berendsen, 1977), with 21,804 citations. Next come "Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations" (14,114) and "Synchronization in chaotic systems" (10,638).

Most cited papers
#PaperReleasedCitations
1 Numerical integration of the cartesian equations of motion of a system with constraints: molecular dynamics of n-alkanes Jean-Paul Ryckaert, Giovanni Ciccotti, Herman J. C. Berendsen · Journal of Computational Physics Mar 1977 21,804
2 Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations Stanley Osher, James A. Sethian · Journal of Computational Physics Open access Nov 1988 14,114
3 Synchronization in chaotic systems Louis M. Pecora, Thomas L. Carroll · Physical Review Letters 19 Feb 1990 10,638
4 Quantal phase factors accompanying adiabatic changes Michael Berry · Proceedings of the Royal Society of London A Mathematical and Physical Sciences 8 Mar 1984 9,285
5 Double-slit photoelectron interference in strong-field ionization of the neon dimer Maksim Kunitski, Nicolas Eicke, Pia Huber et al. · Nature Communications Open access 27 Dec 2018 8,258
All 100 most cited papers, with filters and sorting

Where is Quantum chaos and dynamical systems research done?

The largest centres of Quantum chaos and dynamical systems research in 2022-now are Moscow (Russia), Beijing (China), Paris (France) and Nanjing (China).

Largest cities, 2022-now

  1. 1 MoscowRussia 215 works
  2. 2 BeijingChina 191 works
  3. 3 ParisFrance 110 works
  4. 4 NanjingChina 84 works
  5. 5 ShanghaiChina 79 works
  6. 6 GuangzhouChina 62 works
  7. 7 TokyoJapan 54 works
  8. 8 São PauloBrazil 47 works
  9. 9 Mexico CityMexico 45 works
  10. 10 LondonUnited Kingdom 43 works
See Quantum chaos and dynamical systems on the map

Where is the best place to study Quantum chaos and dynamical systems?

Among universities, judged by research, University of Maryland, College Park, Heilongjiang University and Sun Yat-sen University score highest, combining excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.

0%10%20%30%mean 21.92%fractional works in this field (log) →share of work in the world top 10% →Heilongjiang Univers…University of Maryla…Sun Yat-sen UniversityPrinceton University
above the meannear itbelow it

One dot per university in the first ten of the table below, at the default weights. The upper left is the interesting corner: small places doing unusually strong work.

Excellenceshare of its work in the world top 10%, 2022-now and all time averaged
40%
Specialisationhow much of its work is in this field, counted up to 10× the world share
10%
Sizeits output in this field, on a log scale
30%
Growthoutput growth, counted from -20% to +20%
10%
Internationalshare of its work with a co-author abroad
10%
Each slider sets a weight; the share it gets of the score is beside it.
#UniversityScoreTop 10%SpecialisationWorksGrowth
1University of Maryland, College ParkUnited States 66.222.7%6.2×17 +10.7%
2Heilongjiang UniversityChina 62.426.9%11.4×9 +179.6%
3Sun Yat-sen UniversityChina 62.021.0%2.6×25 +138.8%
4Princeton UniversityUnited States 61.917.5%7.2×15 +19.9%
5University of Science and Technology of ChinaChina 60.221.8%3.7×20 +38.2%
6Massachusetts Institute of TechnologyUnited States 59.815.5%4.4×15 +17.2%
7University of Chinese Academy of SciencesChina 59.225.8%1.5×12 +56.8%
8National University of SingaporeSingapore 58.525.9%2.1×12 +102.3%
9Harbin Institute of TechnologyChina 57.925.7%1.9×15 +20.2%
10Peking UniversityChina 56.116.4%2.3×22 +27.3%

Universities only. The score blends excellence (40%), size (30%), specialisation (10%), growth (10%), international reach (10%), 2022-now; growth compares 2018-21 with 2022-25 and counts up to +20%, since a jump from a small base is mostly noise.

Every institution in Quantum chaos and dynamical systems, country by country

Is Quantum chaos and dynamical systems research growing?

Output in 2022-2025 was 13% higher than in 2018-2021, peaking in 2025. The fastest-growing topics are Quantum chaos and dynamical systems.

still counting19801990200020102020
grewheldshrank

The same series as a ribbon: one cell per year, darker for more. The line above answers how much; this answers when.

Its share of all research

Growing output can still be a shrinking share: all of science grows. This is Quantum chaos and dynamical systems as a percentage of every work published that year, 0.025% in 2024.

still counting0.050%0.10%0.15%Quantum chaos and dynamical systems0.024% in 202519801990200020102020

Fractional works of Quantum chaos and dynamical systems over all fractional works that year. How the balance of science has shifted.

How much of it reaches the world top 10%

Year by year.

still counting5%10%15%Quantum chaos and dynamical systems10.1% in 2025200020102020

Of each year's works in it, the share that reached the world's 10% most cited for their field and year. A field is the world for its own topics, so there is no other line to hold it against.

Which topics inside it are moving

Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.

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