Erlangen 2018 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 38: Poster: Quantum Optics and Photonics I
Q 38.13: Poster
Dienstag, 6. März 2018, 16:15–18:15, Orangerie
Geometric Phase for Gaussian Unitaries — •Stephan Kleinert, Wolfgang P. Schleich, and the QUANTUS Team — Institut für Quantenphysik and Center for Integrated Quantum Science and Technology (IQST), Universität Ulm, D-89069 Ulm
In the presence of a time-dependent Hamiltonian, a quantum state accumulates, apart from a dynamical phase, a geometric phase which solely depends on the topology of the projective Hilbert space.
We investigate the geometric phase acquired by an arbitrary quantum state (pure and mixed states) in the presence of a general quadratic Hamiltonian. To address this problem, we use the powerful tool of Gaussian unitaries providing a simple interpretation in Wigner phase space. In this context, we further introduce the notion of geometric phase in symplectic continuous-variable phase space.
As an example, our general formalism is applied to motional states in light-pulse atom interferometers [1].
The QUANTUS project is supported by the German Space Agency (DLR) with
funds provided by the Federal Ministry for Economics and Energy (BMWi) under grant number 50WM1556.
[1] S. Kleinert, et al., Representation-free description of light-pulse atom interferometry including non-inertial effects, Physics Reports 605, 1 (2015).