2018/10/26 by Dominik Neuenfeld, Neuenfeld, Dominik · 1 citation
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Information and Cryptography #Semiconductor Quantum Structures and Devices
paper · pdf · doi:10.48550/arxiv.1810.11477
openalex publication_date 2018/10/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Scattering in 3+1-dimensional QED is believed to give rise to transitions\nbetween different photon vacua. We show that these transitions can be removed\nby taking into account off-shell modes which correspond to Li 'enard-Wiechert\nfields of asymptotic states. This makes it possible to formulate scattering in\n3+1-dimensional QED on a Hilbert space which furnishes a single representation\nof the canonical commutation relations (CCR). Different QED selection sectors\ncorrespond to inequivalent representations of the photon CCR and are stable\nunder the action of an IR finite, unitary S-matrix. Infrared divergences are\ncancelled by IR radiation. Using this formalism, we discuss the time-dependence\nof decoherence and phases of out-going density matrix elements in the presence\nof classical currents. The results demonstrate that although no information\nabout a scattering process is stored in strictly zero-energy modes of the\nphoton field, entanglement between charged matter and low energy modes\nincreases over time.\n