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

Engl, Thomas and Urbina, Juan Diego and Hummel, Quirin and Richter, Klaus (2015) Complex scattering as canonical transformation: A semiclassical approach in Fock space. ANNALEN DER PHYSIK, 527 (9-10). pp. 737-747. ISSN 0003-3804, 1521-3889

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Abstract

We show that a theory of complex 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.

Item Type: Article
Uncontrolled Keywords: INSULATOR TRANSITION; BOSON; Boson sampling; semiclassical approximations; canonical transformations; many-body scattering; non-interacting quantum fields
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics > Chair Professor Richter > Group Klaus Richter
Depositing User: Dr. Gernot Deinzer
Date Deposited: 06 Jun 2019 09:10
Last Modified: 06 Jun 2019 09:10
URI: https://pred.uni-regensburg.de/id/eprint/4707

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