Lateral effects in fermion antibunching

Abstract

Lateral effects are analyzed in the antibunching of a beam of free noninteracting fermions. The emission of particles from a source is dynamically described in a three-dimensional full quantum-field-theoretical frame- work. The size of the source and the detectors, as well as the temperature of the source are taken into account and the behavior of the visibility is scrutinized as a function of these parameters

On the assumption of initial factorization in the master equation for weakly coupled systems I: General framework

“…We shall see in the following Article II [21], by close scrutiny of some explicit examples, that Markovianity becomes a valid approximation for timescales that depend both on the form factors of the interaction and on the spatial extension of the local observables that can be measured on the reservoir. This will corroborate and complement the general findings discussed in this article.…”

“…(5.1) and (5.5). ] In the rescaled time τ , the factorization is very rapid, and the total system looks factorized at any moment (if the observables that one can measure on the reservoir are local enough: a concrete example will be discussed in the following Article II [21]). Summarizing, reservoir B relaxes into the mixing state Ω B through its own free evolution, yielding the factorization of the state of the total system, while system S dissipates through the interaction: a remarkable and consistent global view.…”

Quantum coherence of electrons field-emitted from a superconductor: Correlations and entanglement

“…H T describes electron tunneling through a potential barrier surrounding the emitting region, and characterizes the strength of the tunneling transmission. H T is given by [18][19][20][21] H T = ͚ s=↑,↓ ͵ d 3 p ͵ d 3 k͑T pk c ps † a ks + T pk ‫ء‬ a ks † c ps ͒, ͑2.5͒…”

“…The emission process will be dynamically described in the framework of quantum field theory and the beam profile will be naturally prepared by the dynamics itself. 20 It is crucial to work in 3D space to capture the Cooper-pair correlations. This also enables us to discuss the lateral coherence length.…”

“…This also enables us to discuss the lateral coherence length. 20 Concise and useful analytical formulas will be derived, which will clarify several facets of the physics behind the phenomenon. The present analysis also includes correlations in time.…”