Science Explorer Back to mapMap
Discussion
Topic · Atomic and Molecular Physics, and Optics

Quantum many-body systems

Quantum many-body systems is a research topic within Atomic and Molecular Physics, and Optics. Science Explorer counts 21k research works in it since 1950. 9.9% of them reached the world's top 10% most cited for their field and year.

This cluster of papers explores the dynamics and entanglement properties of quantum many-body systems, including topics such as many-body localization, quantum thermalization, matrix product states, topological order, quantum phase transitions, tensor networks, and the application of machine learning techniques. The papers cover a wide range of theoretical and experimental investigations into the behavior of complex quantum systems.

  • Entanglement
  • Many-Body Localization
  • Quantum Thermalization
  • Matrix Product States
  • Dynamics
  • Renormalization Group
  • Topological Order
  • Quantum Phase Transitions
  • Tensor Networks
  • Machine Learning
Research works
21k
fractional, since 1950
In the world top 10%
2.1k
per year above
Top-10% rate
9.9%
share of its works in the world top 10%
Growth, 2018-21 → 2022-25
+16%
the tick is no change
Largest producer
United States
28% of the 10 largest, 2022-now
Quantum many-body systems

Which countries lead Quantum many-body systems research?

By volume, the United States and China publish the most (1.1k and 915 works in 2022-now).

By volume, 2022-now

  1. 1 United States 1.1k works
  2. 2 China 915 works
  3. 3 Germany 491 works
  4. 4 Japan 279 works
  5. 5 India 272 works
  6. 6 Italy 250 works
  7. 7 France 230 works
  8. 8 United Kingdom 219 works
  9. 9 Spain 125 works
  10. 10 Brazil 111 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.

United States: 27.6%China: 22.9%Germany: 12.3%Japan: 7.0%6 others listed: 30.2%28%largest
United States1,103 · 27.6%China915 · 22.9%Germany491 · 12.3%Japan279 · 7.0%6 others listed1,207 · 30.2%

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

Which institutions lead Quantum many-body systems research?

By volume in 2022-now, Centre National de la Recherche Scientifique publishes the most Quantum many-body systems research, followed by Chinese Academy of Sciences and Max Planck Society.

By volume, 2022-now

  1. 1 Centre National de la Recherche ScientifiqueFrance 103 works
  2. 2 Chinese Academy of SciencesChina 95 works
  3. 3 Max Planck SocietyGermany 74 works
  4. 4 Ludwig-Maximilians-Universität MünchenGermany 54 works
  5. 5 The University of TokyoJapan 53 works
  6. 6 University of Maryland, College ParkUnited States 49 works
  7. 7 Russian Academy of SciencesRussia 42 works
  8. 8 National University of SingaporeSingapore 41 works
  9. 9 Tsinghua UniversityChina 41 works
  10. 10 Helmholtz Association of German Research CentresGermany 41 works

Who are the leading researchers in Quantum many-body systems?

The most-cited researchers publishing on Quantum many-body systems include Georg Kresse, Kostya S. Novoselov and Kieron Burke.

  1. 1 Georg Kresse Austria 431k citations
  2. 2 Kostya S. Novoselov United Kingdom 331k citations
  3. 3 Kieron Burke United States 276k citations
  4. 4 Kenji Watanabe Japan 237k citations
  5. 5 Takashi Taniguchi Japan 227k citations
  6. 6 Kai You Wang China 224k citations
  7. 7 Harry Eugene Stanley United States 198k citations
  8. 8 Mercouri G. Kanatzidis United States 196k citations
  9. 9 Edward H. Witten United States 174k 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 many-body systems?

The most cited paper in Quantum many-body systems is "Ordering, metastability and phase transitions in two-dimensional systems" (J. Michael Kosterlitz, D. J. Thouless, 1973), with 9,586 citations. Next come "Density matrix formulation for quantum renormalization groups" (7,923) and "Quantum supremacy using a programmable superconducting processor" (7,216).

Most cited papers
#PaperReleasedCitations
1 Ordering, metastability and phase transitions in two-dimensional systems J. Michael Kosterlitz, D. J. Thouless · Journal of Physics C Solid State Physics Open access 12 Apr 1973 9,586
2 Density matrix formulation for quantum renormalization groups Steven R. White · Physical Review Letters 9 Nov 1992 7,923
3 Quantum supremacy using a programmable superconducting processor Frank Arute et al. · Nature Open access 23 Oct 2019 7,216
4 Non-Abelian anyons and topological quantum computation Chetan Nayak, Steven H. Simon, Ady Stern et al. · Reviews of Modern Physics Open access 12 Sep 2008 7,056
5 Anyons in an exactly solved model and beyond Alexei Kitaev · Annals of Physics Open access 2006 5,422
All 100 most cited papers, with filters and sorting

Where is Quantum many-body systems research done?

The largest centres of Quantum many-body systems research in 2022-now are Beijing (China), Tokyo (Japan), Paris (France) and Munich (Germany). Among places with at least 20 works in it, it is an unusually large share of all research in Wako, Trieste and Pasadena.

Largest cities, 2022-now

  1. 1 BeijingChina 243 works
  2. 2 TokyoJapan 112 works
  3. 3 ParisFrance 99 works
  4. 4 MunichGermany 87 works
  5. 5 TriesteItaly 80 works
  6. 6 ShanghaiChina 73 works
  7. 7 LondonUnited Kingdom 70 works
  8. 8 CambridgeUnited States 68 works
  9. 9 SingaporeSingapore 66 works
  10. 10 HefeiChina 65 works

Where it is the local speciality

  1. WakoJP · 26.1 works47×
  2. TriesteIT · 79.9 works39×
  3. PasadenaUS · 38.8 works17×
  4. College ParkUS · 50.7 works17×
← less than its size predicts1×more →

Location quotient: how much more of its research is in Quantum many-body systems than the world average.

See Quantum many-body systems on the map

Where is the best place to study Quantum many-body systems?

Among universities, judged by research, California Institute of Technology, Massachusetts Institute of Technology and Ludwig-Maximilians-Universität München 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 20.78%fractional works in this field (log) →share of work in the world top 10% →California Institute…Massachusetts Instit…Princeton UniversityLudwig-Maximilians-U…
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
1California Institute of TechnologyUnited States 80.728.0%23.2×39 -9.4%
2Massachusetts Institute of TechnologyUnited States 80.525.0%11.2×36 +5.6%
3Ludwig-Maximilians-Universität MünchenGermany 77.215.9%13.5×54 +43.7%
4Princeton UniversityUnited States 75.020.0%16.4×34 +2.8%
5University of Maryland, College ParkUnited States 71.617.5%18.6×49 -4.0%
6Harvard UniversityUnited States 70.723.0%2.2×32 -5.9%
7Scuola Internazionale Superiore di Studi AvanzatiItaly 68.816.0%164.3×32 +12.6%
8Stanford UniversityUnited States 66.522.1%3.7×25 +3.9%
9Universität InnsbruckAustria 66.123.2%10.7×14 +10.8%
10University of TriesteItaly 65.517.1%31.8×27 +53.1%

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 many-body systems, country by country

Is Quantum many-body systems research growing?

Output in 2022-2025 was 16% higher than in 2018-2021, peaking in 2025. The fastest-growing topics are Quantum many-body 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 many-body systems as a percentage of every work published that year, 0.019% in 2024.

still counting0.010%0.020%0.030%Quantum many-body systems0.023% in 202519801990200020102020

Fractional works of Quantum many-body 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 many-body systems10.0% 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.

Discussion

Ask a question or share a note about Quantum many-body systems. Posts are plain text and can be reported.