Details

Autor(en) / Beteiligte

• Engl, Thomas
• Urbina, Juan Diego
• Hummel, Quirin
• Richter, Klaus

Titel

Complex scattering as canonical transformation: A semiclassical approach in Fock space

Ist Teil von

• Annalen der Physik, 2015-10, Vol.527 (9-10), p.737-747

Ort / Verlag

Weinheim: Blackwell Publishing Ltd

Erscheinungsjahr

2015

Quelle

Wiley Online Library All Journals

Beschreibungen/Notizen

• We show that a theory of com plex scattering between many‐body (Fock) states can be constructed such that its classical limit is a canonical transformation thus encoding quantum interference in the semiclassical form of the associated unitary operator. Based on this idea, we study the different coherent effects expected under different choices of the many‐body states and provide different representations of the associated transition probabilities. In this way, we derive exact relations and representations of the scattering process that can be used to attack timely problems related with Boson Sampling. Computing scattering amplitudes between Fock states for indistinguisahble but non‐interacting Bosons is known to be a computationally hard problem known as the Boson Sampling problem. As is shown here, for a large number of particles these scattering amplitudes can be interpreted in terms of interference between mean field solutions.