Research – Univ. Prof. Dr. Reinhold A. Bertlmann

Entanglement and Decoherence, Bell Inequalities, Rigorous Inequalities and Geometry of Quantum Systems

Inequalities and Geometry of Quantum States

15. July 2015

Foundations of Quantum Physics

28. May 2015

Quantum Mechanics in Particle Physics

28. May 2015

Entanglement of Quantum States

27. May 2015

Students

Due to my retirement on October 2010 I don’t take students any more

Former Students:

Here my former students are listed and grouped into

Bachelor students:
Sridhar Bulusu: Quantum information and entropy, SomSem 2015
Martin Pimon: Quantum theory based on information and entropy, SomSem 2015
Christoph Regner: Information as foundation principle for quantum mechanics, SomSem 2015
Stephan Huimann: The appearance of a classical world in quantum theory, WinSem 2014/15
Ilvy Schultschik: EPR paradox, nonlocality and the question of causality, SomSem 2014
Carla Schuler: Entanglement, Bell inequalities and decoherence in neutral K-meson systems, WinSem 2013/14
Eva Kilian: Quantum Zeno effect and interaction-free measurements, WinSem 2013/14
Ferdinand Horvath: Information theoretical reconstructions of quantum theory, SomSem 2013
Petra Pajic: Quantum cryptography, SomSem 2013
Michael Partener: Einstein, Podolsky and Rosen paradox, Bell inequalities and the relation to the de Broglie-Bohm theory, SomSem 2013
Lukas Schneiderbauer: Entanglement or separability, WinSem 2012/13
Daniel Samitz: Particle oscillations, entanglement and decoherence, WinSem 2012/13
Christian Knobloch: Neutron interferometry, WinSem 2011/12
Matthias Müllner: Entanglement witness and geometry of qubits, SomSem 2011
Xiaxi Cheng: Bell’s theorem and experimental tests, SomSem 2011
Georg Graner: Quantenteleportation unter der Aspekt: Was ist Messen?, SomSem 2011
Bogdan Pammer: Geometry of entanglement, SomSem 2011
Peter Kraus: Scalar fields, SomSem 2010

Diploma students:
Gabriele Uchida: Geometry of GHZ type quantum states, October 2011 – April 2013
Philipp Köhler: Entanglement under global unitary operations, March 2010 – September 2011
Tanja Traxler: Decoherence and entanglement of two qubit systems, March 2010 – July 2011
Philipp Thun-Hohenstein: Quantum phase and uncertainty, April 2009 – February 2010
Nicolai Friis: Relativistic effects in quantum entanglement, June 2008 – February 2010
Hatice Tataroglu: Nichtlokale Korrelationen in Kaonischen Systemen, March 2009 – February 2010
Andreas Gabriel: Quantum entanglement and geometry, June 2008 – August 2009
Alexander Ableitinger: Decoherence and open quantum systems, March 2006 – March 2008
Philipp Krammer: Quantum entanglement, 2005
Katharina Durstberger: Geometric phases in quantum theory, 2002
Eva Plochberger: Phenomenological applications of anomalies and the U(1) problem, 2000
Emmanuel Kohlprath: Diffeomorphism anomaly and Schwinger terms in two dimensions, 1999
Beatrix C. Hiesmayr: The puzzling story of the K0\barK0-system or about quantum mechanical
interference and Bell inequality in particle physics, 1999
Konrad Richter: Gravitational anomalies and the families index theorem, 1998
Christian Rupp: Berry Phase, Schwinger term and anomalies in quantum field theory, 1998
Dominique Groß: Die Nichtlokalität in der Quantenmechanik, 1997
Andreas Tröster: Nonabelian anomalies and the Atiyah-Singer index theorem, 1994
Ulfert Höhne: Vacuum concepts in quantum field theory, 1991
Christoph Adam: Functionalanalytic and differentialgeometric aspects of anomalies and the method of Fujikawa, 1990
Peter Hofer: ‘Equivalent potentials’ to QCD with gluon condensate, 1990

Ph.D. students:
Philipp Krammer: Entanglement beyond two qubits: geometry and entanglement witnesses, March 2006 – October 2009
Katharina Durstberger: Geometry of entanglement and decoherence in quantum systems, March 2002 – November 2005
Emmanuel Kohlprath: Topics in classical, quantum and string gravity, 2002
Beatrix C. Hiesmayr: The puzzling story of the neutral kaon system or what we can learn from entanglement, 2002
Tomas Sykora: (Charles University Prague) Schwinger terms in quantum theory, 2001
Peter Reinsperger-Hofer: Different aspects of a confinement model with nonlocal stochastic gluon condensates, 1994
Christoph Adam: Anomaly and topological aspects of 2-dimensional QED, 1993
Gerald Kelnhofer: Consistent and covariant Schwinger terms in anomalous gauge theories, 1991

Posters

Quantum Entanglement, the Universe and Everything
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Geometric Entanglement Witness and Bound Entanglement
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Decoherence and the Transition from Quantum to Classical Physics
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Das PSI an sich
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Entangled or Separable? The Free Choice of the Factorization Algebra
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Residual Entanglement of Accelerated Fermions is not Nonlocal
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Collaborations with Colleagues

Senior Postdoc:

Nicolai Friis is a Senior Postdoc at the Institute of Atomic and Subatomic Physics (Atominstitut) of the Technical University Vienna since June 2022. He is part of the Quantum Information and Thermodynamics Group led by Marcus Huber.

Research in Quantum Field Theory – see Publications on INSPIRE

Articles in QFT – Selected Topics

Anomalies

R.A. Bertlmann: Anomalies in Quantum Field Theory: Dispersion Relations and Differential Geometry

C. Adam, R.A. Bertlmann, and P. Hofer: Overview on the anomaly and Schwinger term in two-dimensional QED

R.A. Bertlmann and E. Kohlprath: Two-Dimensional Gravitational Anomalies, Schwinger Terms, and Dispersion Relations

R.A. Bertlmann and E. Kohlprath: Schwinger terms in two-dimensional gravitation and Källén’s method

R.A. Bertlmann and E. Kohlprath: Two-Dimensional Gravitational Anomalies, Schwinger Terms, and Dispersion Relations

R.A. Bertlmann and T. Sykora: On the point-splitting method of the commutator anomaly of Gauss law operators

Gluon condensate , sum rules in QCD

J.S. Bell and R.A. Bertlmann: Shifman-Vainshtein-Zakharov moments and quark-antiquark potentials

R.A. Bertlmann: Heavy quark-antiquark systems from exponential moments in QCD

R.A. Bertlmann: “Equivalent” potential to SVZ moments to order 〈G⁴〉

R.A. Bertlmann: QCD Sum Rules: Selected Topics

R.A. Bertlmann and H. Neufeld: Exponential QCD-Moments for Charmonium 3S1 up to Order 〈G⁴〉

R.A. Bertlmann, G. Launer, and E. de Rafael: Gaussian Sum Rules in Quantum Chromodynamics and Local Duality

R.A. Bertlmann, C.A. Dominguez, M. Loewe, M. Perrottet, and E. de Rafael: Determination of the gluon condensate and the four quark condensate via FESR

A. Krämer, H.G. Dosch, and R.A. Bertlmann: Estimate of the Background Gluon Correlation Time from Bottonium

A. Krämer, H.G. Dosch, and R.A. Bertlmann: Quarkonia in a Gluonic Background Field

Weak interactions, intermediate bosons, resonances in collisions, decays

R.A. Bertlmann, H. Grosse, and B. Lautrup: Radiative decay of an excited neutrino in gauge models

Anomalies and Schwinger Terms, Cohomology, Geometry and Topology in Quantum Field Theory
The basis of modern QFT – gauge theory – is the principle of gauge symmetry. There an anomaly – the violation of a classically conserved current – signals the breakdown of the gauge symmetry and, in consequence, the ruin of the consistency of the theory.
Avoiding, on one hand, the anomaly – which may be possible – leads to severe constraints on the physical content of the theory. But, on the other hand, anomalies are also needed to describe certain experimental facts. It is this double-feature which makes anomalies so important for physics.

Anomalies

Singlet anomalies (Adler-Bell-Jakiw-type)
Non-Abelian anomalies of Yang-Mills theories (Bardeen-type)
Gravitational anomalies (Einstein-, Lorentz-, Weyl-type)
Anomalous commutators of the gauge algebra Schwinger terms

Theoretical Framework

Pertubation theory, point splitting methods, dispersion relations
Functional integral methods (a la Fujikawa)
Differential geometry, BRS-algebra and fibre bundles
Cohomology in gauge space, Stora-Zumino descent equations
Topology, Atiyah-Singer index theorems

The spaces of gauge connections

The deformed disk A(t,θ) in SpA (affine space of all gauge connections) is projected down to a sphere S2 in SpA/G (moduli space – physical space). The topological origin of the non-Abelian anomaly is that the fermion determinant represents a section of a nontrivial line bundle over SpA/G – the determinant bundle. In other words, the variation in the determinant phase along ∂D2 = S1 does not allow the determinant to be a single-valued functional over SpA/G.
For reference, see R. A. Bertlmann, Anomalies in Quantum Field Theory, Oxford University Press.

Entanglement and Decoherence, Bell Inequalities, Rigorous Inequalities and Geometry of Quantum Systems

Students

Due to my retirement on October 2010 I don’t take students any more

Posters

Collaborations with Colleagues

Research in Quantum Field Theory – see Publications on INSPIRE

Articles in QFT – Selected Topics

R.A. Bertlmann: Anomalies in Quantum Field Theory: Dispersion Relations and Differential Geometry

C. Adam, R.A. Bertlmann, and P. Hofer: Overview on the anomaly and Schwinger term in two-dimensional QED

R.A. Bertlmann and E. Kohlprath: Two-Dimensional Gravitational Anomalies, Schwinger Terms, and Dispersion Relations

R.A. Bertlmann and E. Kohlprath: Schwinger terms in two-dimensional gravitation and Källén’s method

R.A. Bertlmann and E. Kohlprath: Two-Dimensional Gravitational Anomalies, Schwinger Terms, and Dispersion Relations

R.A. Bertlmann and T. Sykora: On the point-splitting method of the commutator anomaly of Gauss law operators

J.S. Bell and R.A. Bertlmann: Shifman-Vainshtein-Zakharov moments and quark-antiquark potentials

R.A. Bertlmann: Heavy quark-antiquark systems from exponential moments in QCD

R.A. Bertlmann: “Equivalent” potential to SVZ moments to order 〈G4〉

R.A. Bertlmann: QCD Sum Rules: Selected Topics

R.A. Bertlmann and H. Neufeld: Exponential QCD-Moments for Charmonium 3S1 up to Order 〈G4〉

R.A. Bertlmann, G. Launer, and E. de Rafael: Gaussian Sum Rules in Quantum Chromodynamics and Local Duality

R.A. Bertlmann, C.A. Dominguez, M. Loewe, M. Perrottet, and E. de Rafael: Determination of the gluon condensate and the four quark condensate via FESR

A. Krämer, H.G. Dosch, and R.A. Bertlmann: Estimate of the Background Gluon Correlation Time from Bottonium

A. Krämer, H.G. Dosch, and R.A. Bertlmann: Quarkonia in a Gluonic Background Field

R.A. Bertlmann, H. Grosse, and B. Lautrup: Radiative decay of an excited neutrino in gauge models

R.A. Bertlmann: “Equivalent” potential to SVZ moments to order 〈G⁴〉

R.A. Bertlmann and H. Neufeld: Exponential QCD-Moments for Charmonium 3S1 up to Order 〈G⁴〉