12/15 The Bethe Ansatz Method and Quantum Integrability: Exact Solutions of Models of Strongly Interacting Quantum Matter
Time: 2:00pm~3:20pm, December 15 (Thursday)
Title: The Bethe Ansatz Method and Quantum Integrability: Exact Solutions of Models of Strongly Interacting Quantum Matter
Speaker: Dr. Hans-Peter Eckle
(Humboldt Study Centre, Ulm University, Germany)
Place: online speech https://meet.google.com/ndj-aqqz-xuo
Students should attend the lecture in Science Building III 1F SC157
Abstract:
The method to solve a strongly interacting quantum many-particle model, the Heisenberg quantum spin chain, devised by Hans Albrecht Bethe in 1931, has since been developed into a versatile set of methodologies to calculate non-perturbatively the physical properties of models of quantum matter. In the nine decades since Bethe’s work, the Bethe ansatz has grown into an important field of mathematical and theoretical physics as both, the method itself and the range of solved models, have been vastly extended. Moreover, it was discovered that the models exhibit an infinite number of conserved quantities: the exactly solved models are quantum integrable. The quantum physical models amenable to an exact solution by Bethe ansatz range from condensed matter and quantum optical physics to quantum field and string
theory and have even fertilised pure mathematics.
We shall concentrate our discussion on condensed matter systems, such as quantum spin chains and one-dimensional electronic models, e.g. the Hub-bard and Kondo models, and models relevant for quantum optics, such as the quantum Rabi and Jaynes-Cummings models. Furthermore, we shall touch briefly on the ongoing quest for a consistent definition of quantum integrability.
