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Topic · Atomic and Molecular Physics, and Optics

Quantum Mechanics and Non-Hermitian Physics

Quantum Mechanics and Non-Hermitian Physics is a research topic within Atomic and Molecular Physics, and Optics. Science Explorer counts 19k research works in it since 1950. 10.1% of them reached the world's top 10% most cited for their field and year.

This cluster of papers explores the concept of Parity-Time (PT) symmetry in optics and quantum mechanics, focusing on non-Hermitian physics, exceptional points, topological phases, and nonlinear systems. It investigates phenomena such as PT-symmetric optical lattices, exceptional points in photonics, and the implications of PT symmetry for quantum mechanics and optical devices.

  • PT-Symmetry
  • Non-Hermitian Physics
  • Optical Lattices
  • Exceptional Points
  • Topological Phases
  • Nonlinear Systems
  • Microcavities
  • Quantum Mechanics
  • Photonics
  • Hermitian Hamiltonians
Research works
19k
fractional, since 1950
In the world top 10%
1.9k
per year above
Top-10% rate
10.1%
share of its works in the world top 10%
Growth, 2018-21 → 2022-25
+6%
the tick is no change
Largest producer
China
45% of the 10 largest, 2022-now
Quantum Mechanics and Non-Hermitian Physics

Which countries lead Quantum Mechanics and Non-Hermitian Physics research?

By volume, China and the United States publish the most (1.1k and 370 works in 2022-now).

By volume, 2022-now

  1. 1 China 1.1k works
  2. 2 United States 370 works
  3. 3 India 221 works
  4. 4 Germany 129 works
  5. 5 Japan 126 works
  6. 6 Russia 114 works
  7. 7 Brazil 95 works
  8. 8 France 89 works
  9. 9 Italy 82 works
  10. 10 Türkiye 80 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: 45.2%United States: 15.5%India: 9.3%Germany: 5.4%6 others listed: 24.6%45%largest
China1,076 · 45.2%United States370 · 15.5%India221 · 9.3%Germany129 · 5.4%6 others listed585 · 24.6%

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

Which institutions lead Quantum Mechanics and Non-Hermitian Physics research?

By volume in 2022-now, Chinese Academy of Sciences publishes the most Quantum Mechanics and Non-Hermitian Physics research, followed by Centre National de la Recherche Scientifique and Russian Academy of Sciences.

By volume, 2022-now

  1. 1 Chinese Academy of SciencesChina 67 works
  2. 2 Centre National de la Recherche ScientifiqueFrance 43 works
  3. 3 Russian Academy of SciencesRussia 37 works
  4. 4 Peking UniversityChina 24 works
  5. 5 National University of SingaporeSingapore 23 works
  6. 6 Tsinghua UniversityChina 23 works
  7. 7 Sun Yat-sen UniversityChina 21 works
  8. 8 Nanjing UniversityChina 19 works
  9. 9 Shanxi UniversityChina 18 works
  10. 10 University of Science and Technology of ChinaChina 18 works

Who are the leading researchers in Quantum Mechanics and Non-Hermitian Physics?

The most-cited researchers publishing on Quantum Mechanics and Non-Hermitian Physics include Kostya S. Novoselov, Kieron Burke and Matthias Ernzerhof.

  1. 1 Kostya S. Novoselov United Kingdom 331k citations
  2. 2 Kieron Burke United States 276k citations
  3. 3 Matthias Ernzerhof Canada 276k citations
  4. 4 John C. Morris United States 241k citations
  5. 5 Kenji Watanabe Japan 237k citations
  6. 6 Donald G. Truhlar United States 230k citations
  7. 7 Takashi Taniguchi Japan 227k citations
  8. 8 Kai You Wang China 224k citations
  9. 9 Robert G. Parr United States 175k citations
  10. 10 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 Mechanics and Non-Hermitian Physics?

The most cited paper in Quantum Mechanics and Non-Hermitian Physics is "Real Spectra in Non-Hermitian Hamiltonians Having P T Symmetry" (Carl M. Bender, Stefan Boettcher, 1998), with 6,760 citations. Next come "Roothaan-Hartree-Fock atomic wavefunctions" (5,528) and "Norm-conserving and ultrasoft pseudopotentials for first-row and transition elements" (3,970).

Most cited papers
#PaperReleasedCitations
1 Real Spectra in Non-Hermitian Hamiltonians Having P T Symmetry Carl M. Bender, Stefan Boettcher · Physical Review Letters Open access 15 Jun 1998 6,760
2 Roothaan-Hartree-Fock atomic wavefunctions Enrico Clementi, Carla Roetti · Atomic Data and Nuclear Data Tables Sep 1974 5,528
3 Norm-conserving and ultrasoft pseudopotentials for first-row and transition elements Georg Kresse, J. Häfner · Journal of Physics Condensed Matter Open access 3 Oct 1994 3,970
4 Observation of parity–time symmetry in optics Christian E. Rüter, Konstantinos G. Makris, Ramy El‐Ganainy et al. · Nature Physics Open access 24 Jan 2010 3,653
5 Optimized norm-conserving Vanderbilt pseudopotentials Donald R. Hamann · Physical Review B Open access 19 Aug 2013 3,422
All 100 most cited papers, with filters and sorting

Where is Quantum Mechanics and Non-Hermitian Physics research done?

The largest centres of Quantum Mechanics and Non-Hermitian Physics research in 2022-now are Beijing (China), Shanghai (China), Nanjing (China) and Guangzhou (China).

Largest cities, 2022-now

  1. 1 BeijingChina 188 works
  2. 2 ShanghaiChina 72 works
  3. 3 NanjingChina 70 works
  4. 4 GuangzhouChina 62 works
  5. 5 WuhanChina 49 works
  6. 6 TokyoJapan 48 works
  7. 7 MoscowRussia 46 works
  8. 8 HangzhouChina 44 works
  9. 9 SingaporeSingapore 42 works
  10. 10 Mexico CityMexico 41 works
See Quantum Mechanics and Non-Hermitian Physics on the map

Where is the best place to study Quantum Mechanics and Non-Hermitian Physics?

Among universities, judged by research, National University of Singapore, Nanyang Technological University and Tsinghua 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%20%40%mean 25.23%fractional works in this field (log) →share of work in the world top 10% →National University …Nanyang Technologica…Nanjing UniversityTsinghua 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
1National University of SingaporeSingapore 84.430.1%6.5×24 +50.3%
2Nanyang Technological UniversitySingapore 69.727.9%5.3×13 +89.4%
3Tsinghua UniversityChina 68.722.5%3.2×23 +89.1%
4Nanjing UniversityChina 67.524.7%6.8×19 +33.6%
5Wuhan UniversityChina 65.940.7%2.9×13 +230.6%
6Hong Kong University of Science and TechnologyChina 65.824.7%8.9×11 +87.3%
7Peking UniversityChina 61.211.2%3.8×24 +87.5%
8University of Hong KongChina 58.433.1%3.2×9 +224.5%
9Zhejiang UniversityChina 57.024.0%2.2×18 +114.4%
10Sun Yat-sen UniversityChina 55.113.4%3.3×21 +108.3%

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 Mechanics and Non-Hermitian Physics, country by country

Is Quantum Mechanics and Non-Hermitian Physics research growing?

Output in 2022-2025 was 6% higher than in 2018-2021, peaking in 2025. The fastest-growing topics are Quantum Mechanics and Non-Hermitian Physics.

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 Mechanics and Non-Hermitian Physics as a percentage of every work published that year, 0.012% in 2024.

still counting0.020%0.040%Quantum Mechanics and Non-Hermitian Physics0.014% in 202519801990200020102020

Fractional works of Quantum Mechanics and Non-Hermitian Physics 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 Mechanics and Non-Hermitian Physics10.2% 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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