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DY: Fachverband Dynamik und Statistische Physik

DY 38: Nonequilibrium Quantum Systems 2 (joint session TT/DY)

DY 38.4: Talk

Thursday, March 21, 2024, 10:15–10:30, H 3025

A Conjecture Regarding Ground State Overlaps — •Sarah Damerow and Stefan Kehrein — Institut für Theoretiche Physik, Friedrich-Hund-Platz 1, 37077 Göttingen, Georg-August Universität Göttingen, Germany

A conjectured extension of the adiabatic theorem to quantum quenches, i.e. non-adiabatic changes, is presented. Using Exact Diagonalisation and the Lanczos method, we study the Axial Next Nearest Neighbour Ising Model (ANNNI). We numerically test the following conjecture: A system is prepared in its ground state. Under adiabatic time evolution of the Hamiltonian this initial ground state evolves under the time-dependent Schrödinger equation. The overlap between the initial and the final ground state will be larger than any other overlap, if both states are in the same magnetic phase.

Keywords: Lanczos; ANNNI; Ising; adiabatic theorem; overlap