Asymptotic Observables in Gapped Quantum Spin Systems

Dybalski, Wojciech

doi:10.1007/s00220-017-2954-2

Cited by 2 publications

(2 citation statements)

References 16 publications

(43 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…What would be much better would be to use a dressed LSZ reduction formula to understand the asymptotic limits of electron correlation functions. [9,17] Nevertheless, the basic physical picture seems clear: in a scattering experiment, one does not measure an electron plus a finely-tuned shockwave of outgoing bremsstrahlung photons, just the electron on its own. This is responsible for well-measured phenomena like radiation damping.…”

Section: Physical Interpretationmentioning

confidence: 99%

“…QED has a complicated asymptotic Hilbert space structure which is still somewhat poorly understood. For example, although Faddeev-Kulish try to define a single, separable Hilbert space H as [8,17] other authors have argued that one needs an uncountable set of separable Hilbert spaces. [7,9] Formally, this is related to the fact that the dressing operator (3) does not converge on the usual Fock space.…”

Section: Physical Interpretationmentioning

confidence: 99%

See 1 more Smart Citation

Dressed infrared quantum information

et al. 2018

View full text Add to dashboard Cite

We study information-theoretic aspects of the infrared sector of quantum electrodynamics, using the dressed-state approach pioneered by Chung, Kibble, Faddeev-Kulish and others. In this formalism QED has an IR-finite S-matrix describing the scattering of electrons dressed by coherent states of photons. We show that measurements sensitive only to the outgoing electronic degrees of freedom will experience decoherence in the electron momentum basis due to unobservable photons in the dressing. We make some comments on possible refinements of the dressed-state formalism, and how these considerations relate to the black hole information paradox.Comment: 5 pages, 1 figur

show abstract

Section: Physical Interpretationmentioning

confidence: 99%

Section: Physical Interpretationmentioning

confidence: 99%

Dressed infrared quantum information

et al. 2018

View full text Add to dashboard Cite

show abstract

Mourre Theory and Asymptotic Observables in Local Relativistic Quantum Field Theory

Kruse

2024

Commun. Math. Phys.

View full text Add to dashboard Cite

We prove the convergence of Araki–Haag detectors in any Haag–Kastler quantum field theory with an upper and lower mass gap. We cover the case of a single Araki–Haag detector on states of bounded energy, which are selected from the absolutely continuous part of the energy-momentum spectrum sufficiently close to the lower boundary of the multi-particle spectrum. These states essentially encompass those states in the multi-particle spectrum lying below the three-particle threshold. In our proof, we draw on insights from proofs of asymptotic completeness in quantum mechanics. Notably, we apply Mourre’s conjugate operator method for the first time within the framework of Haag–Kastler quantum field theory. Furthermore, we discuss applications of our findings for the problem of asymptotic completeness in local relativistic quantum field theory.

show abstract

Asymptotic Observables in Gapped Quantum Spin Systems

Cited by 2 publications

References 16 publications

Dressed infrared quantum information

Dressed infrared quantum information

Mourre Theory and Asymptotic Observables in Local Relativistic Quantum Field Theory

Contact Info

Product

Resources

About