Regensburg 2022 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 21: Correlated Electrons: Poster Session

TT 21.37: Poster

Mittwoch, 7. September 2022, 15:00–18:00, P1

Rate functions and quantum adiabatic theorem in many-body systems — •Vibhu Mishra — Institute for Theoretical Physics, Georg-August-Universität Goettingen, Friedrich-Hund-Platz 1, 37077 Goettingen, Germany

We investigate the quantum adiabatic theorem in many body systems for XXZ and ANNNI spin chains. In order to have a well-defined quantitative measure of adiabacity in the thermodynamic limit we calculate a rate function defined via the overlap between the ground state of the final Hamiltonian and the time evolved initial state. The parameters in the Hamiltonian are varied with a linear ramp and we investigate how the rate function behaves with decreasing ramping speed (adiabatic limit). Our main tool is exact diagonalization, which is complemented by bosonization in the XY phase of the XXZ spin chain.