Rostock 2019 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 5: Precision Measurements and Metrology I
Q 5.6: Vortrag
Montag, 11. März 2019, 11:45–12:00, S SR 111 Maschb.
Quantum Geometric Phase in Light-Pulse Atom Interferometry — •Stephan Kleinert, Wolfgang P. Schleich, and the QUANTUS Team — Institut für Quantenphysik and Center for Integrated Quantum Science and Technology (IQST), Universität 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.
Our talk focuses on geometric phases acquired by motional states in light-pulse atom interferometers. To address this problem, we use an operator approach [1] which fully describes the external motion by means of displacement operators. Due to the induced kinematic boosts on the external Hilbert space, the generators of the associated Weyl-Heisenberg group give rise to the definition of a quantum geometric phase in external phase space.
As an example, we consider a Mach-Zehnder pulse sequence and can identify global as well as relative quantum geometric phases.
The QUANTUS project is supported by the German Space Agency DLR with funds provided by the Federal Ministry of Economics and Energy (BMWi) under grant number 50WM1556 (QUANTUS IV).
[1] S. Kleinert, et al., Representation-free description of light-pulse atom interferometry including non-inertial effects, Physics Reports 605, 1 (2015).