Modular structure and inclusions of twisted Araki-Woods algebras

R Correa da Silva, G Lechner - Communications in Mathematical Physics, 2023 - Springer
In the general setting of twisted second quantization (including Bose/Fermi second
quantization, S-symmetric Fock spaces, and full Fock spaces from free probability as special …

Dynamical entropic measure of nonclassicality of phase-dependent family of Schrödinger cat states

M Kalka, BJ Spisak, D Woźniak, M Wołoszyn… - Scientific Reports, 2023 - nature.com
The phase-space approach based on the Wigner distribution function is used to study the
quantum dynamics of the three families of the Schrödinger cat states identified as the even …

[PDF][PDF] A perspective on constructive quantum field theory

SJ Summers - arxiv preprint arxiv:1203.3991, 2012 - arxiv.org
Quantum field theory (QFT) is widely viewed as one of the most successful theories in
science—it has predicted phenomena before they were observed in nature 2, and its …

Inverse scattering and local observable algebras in integrable quantum field theories

S Alazzawi, G Lechner - Communications in Mathematical Physics, 2017 - Springer
We present a solution method for the inverse scattering problem for integrable two-
dimensional relativistic quantum field theories, specified in terms of a given massive single …

Algebraic constructive quantum field theory: Integrable models and deformation techniques

G Lechner - Advances in algebraic quantum field theory, 2015 - Springer
Several related operator-algebraic constructions for quantum field theory models on
Minkowski spacetime are reviewed. The common theme of these constructions is that of a …

Localization and entanglement in relativistic quantum physics

J Yngvason - The Message of Quantum Science: Attempts Towards a …, 2015 - Springer
These notes are a slightly expanded version of a lecture presented in February 2012 at the
workshop “The Message of Quantum Science—Attempts Towards a Synthesis” held at the …

Localization in nets of standard spaces

G Lechner, R Longo - Communications in Mathematical Physics, 2015 - Springer
Starting from a real standard subspace of a Hilbert space and a representation of the
translation group with natural properties, we construct and analyze for each endomorphism …

Towards an operator-algebraic construction of integrable global gauge theories

G Lechner, C Schützenhofer - Annales Henri Poincaré, 2014 - Springer
The recent construction of integrable quantum field theories on two-dimensional Minkowski
space by operator-algebraic methods is extended to models with a richer particle spectrum …

Construction of two-dimensional quantum field models through Longo–Witten endomorphisms

Y Tanimoto - Forum of Mathematics, Sigma, 2014 - cambridge.org
We present a procedure for constructing families of local, massive and interacting Haag–
Kastler nets on the two-dimensional spacetime through an operator-algebraic method. A …

Wedge-local fields in integrable models with bound states

D Cadamuro, Y Tanimoto - Communications in Mathematical Physics, 2015 - Springer
Recently, large families of two-dimensional quantum field theories with factorizing S-
matrices have been constructed by the operator-algebraic methods, by first showing the …