Karl Vogel

2.4k total citations · 1 hit paper
30 papers, 1.8k citations indexed

About

Karl Vogel is a scholar working on Atomic and Molecular Physics, and Optics, Artificial Intelligence and Statistical and Nonlinear Physics. According to data from OpenAlex, Karl Vogel has authored 30 papers receiving a total of 1.8k indexed citations (citations by other indexed papers that have themselves been cited), including 24 papers in Atomic and Molecular Physics, and Optics, 17 papers in Artificial Intelligence and 9 papers in Statistical and Nonlinear Physics. Recurrent topics in Karl Vogel's work include Quantum Information and Cryptography (17 papers), Cold Atom Physics and Bose-Einstein Condensates (7 papers) and Quantum Mechanics and Applications (7 papers). Karl Vogel is often cited by papers focused on Quantum Information and Cryptography (17 papers), Cold Atom Physics and Bose-Einstein Condensates (7 papers) and Quantum Mechanics and Applications (7 papers). Karl Vogel collaborates with scholars based in Germany, United States and United Kingdom. Karl Vogel's co-authors include H. Risken, Wolfgang P. Schleich, V. M. Akulin, W. P. Schleich, Matthias Freyberger, Marlan O. Scully, H. Walther, Michael Schröder, Thomas G. Wong and D. F. Walls and has published in prestigious journals such as Physical Review Letters, Journal of Applied Physics and Physical Review B.

In The Last Decade

Karl Vogel

28 papers receiving 1.7k citations

Hit Papers

Determination of quasiprobability distributions in terms ... 1989 2026 2001 2013 1989 250 500 750
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phase
    1989 957 citations Karl Vogel, H. Risken Physical review. A, General physics profile →

Peers

Karl Vogel
Hai-Woong Lee South Korea
W. P. Schleich Germany
A. B. Klimov Mexico
Krzysztof Wódkiewicz United States
Margarita A. Man’ko Russia
Masashi Ban Japan
Lluís Masanes United Kingdom
C. L. Mehta India
David Stoler United States
Justin Dressel United States
Hai-Woong Lee South Korea
Karl Vogel
Citations per year, relative to Karl Vogel Karl Vogel (= 1×) peers Hai-Woong Lee

Countries citing papers authored by Karl Vogel

Since Specialization
Citations

This map shows the geographic impact of Karl Vogel's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Karl Vogel with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Karl Vogel more than expected).

Fields of papers citing papers by Karl Vogel

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Karl Vogel. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Karl Vogel. The network helps show where Karl Vogel may publish in the future.

Co-authorship network of co-authors of Karl Vogel

This figure shows the co-authorship network connecting the top 25 collaborators of Karl Vogel. A scholar is included among the top collaborators of Karl Vogel based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Karl Vogel. Karl Vogel is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Vogel, Karl, et al.. (2013). Factorization with a logarithmic energy spectrum. New Journal of Physics. 15(2). 23037–23037. 6 indexed citations
2.
Vogel, Karl, et al.. (2010). Optimally focusing wave packets. Chemical Physics. 375(2-3). 133–143. 8 indexed citations
3.
Vogel, Karl, Wolfgang P. Schleich, Takeo Kato, et al.. (2009). Theory of fractional vortex escape in a long Josephson junction. Physical Review B. 80(13). 8 indexed citations
4.
Goldobin, E., Karl Vogel, R. Walser, et al.. (2005). Quantum tunneling of semifluxons in a0−π−0long Josephson junction. Physical Review B. 72(5). 34 indexed citations
5.
Wong, Thomas G., et al.. (1998). Generic model of an atom laser. Physical Review A. 58(6). 4841–4853. 52 indexed citations
6.
Kien, Fam Le, Karl Vogel, & Wolfgang P. Schleich. (1997). Arc field states, photon statistics probes and quantum lenses: field evolution and atomic motion in a dispersive interaction model. Quantum and Semiclassical Optics Journal of the European Optical Society Part B. 9(1). 69–101. 2 indexed citations
7.
Vogel, Karl, V. M. Akulin, & Wolfgang P. Schleich. (1993). Wie konstruiert man einen Quantenzustand?. Physikalische Blätter. 49(12). 1111–1112. 1 indexed citations
8.
Vogel, Karl, V. M. Akulin, & Wolfgang P. Schleich. (1993). Quantum state engineering of the radiation field. Physical Review Letters. 71(12). 1816–1819. 278 indexed citations
9.
Minh, Quang Tran, G. Agarwal, János A. Bergou, et al.. (1993). Calculation of the micromaser spectrum. I. Green’s-function approach and approximate analytical techniques. Physical Review A. 48(1). 803–812. 37 indexed citations
10.
Vogel, Karl, W. P. Schleich, Marlan O. Scully, & H. Walther. (1993). Calculation of the micromaser spectrum. II. Eigenvalue approach. Physical Review A. 48(1). 813–817. 33 indexed citations
11.
Freyberger, Matthias, Karl Vogel, & Wolfgang P. Schleich. (1993). From photon counts to quantum phase. Physics Letters A. 176(1-2). 41–46. 70 indexed citations
12.
Vogel, Karl. (1991). A source code generator for C: a language-independent means of building programs that are consistent, elegant, and fast. 16(8). 28.
13.
Risken, H., et al.. (1990). Relaxation of a spin-1/2 particle driven by transverse colored Gaussian noise: Time dependence and eigenvalues. Physical Review A. 42(8). 4562–4573. 27 indexed citations
14.
Vogel, Karl & H. Risken. (1990). Dispersive optical bistability for large photon numbers and low cavity damping. Physical Review A. 42(1). 627–638. 11 indexed citations
15.
Vogel, Karl & H. Risken. (1989). Determination of quasiprobability distributions in terms of probability distributions for the rotated quadrature phase. Physical review. A, General physics. 40(5). 2847–2849. 957 indexed citations breakdown →
16.
Risken, H., Karl Vogel, & H. D. Vollmer. (1988). Boundary-layer theory for the extremely underdamped Brownian motion in a metastable potential. IBM Journal of Research and Development. 32(1). 112–118. 7 indexed citations
17.
Risken, H. & Karl Vogel. (1988). Quantum tunneling rates in dispersive optical bistability for low cavity damping. Physical review. A, General physics. 38(3). 1349–1357. 16 indexed citations
18.
Vogel, Karl, et al.. (1987). Locking equation with colored noise: Continued fraction solution versus decoupling theory. Physical review. A, General physics. 35(11). 4882–4885. 15 indexed citations
19.
Vogel, Karl, H. Risken, Wolfgang P. Schleich, et al.. (1987). Skewed probability densities in the ring laser gyroscope: A colored noise effect. Physical review. A, General physics. 35(1). 463–465. 24 indexed citations
20.
Vogel, Karl. (1975). Kant und die Paradoxien der Vielheit : die Monadenlehre in Kants philosophischer Entwicklung bis zum Antinomienkapitel der "Kritik der reinen Vernunft". 1 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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2026