SKM 2023 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 38: Nonequilibrium Quantum Many-Body Systems II (joint session TT/DY)

TT 38.6: Talk

Wednesday, March 29, 2023, 16:15–16:30, HSZ 204

A conjecture regarding the overlap of different ground states within the same phase — •Sarah Damerow and Stefan Kehrein — Georg-August Universität Göttingen

An extension of the adiabatic theorem to quantum quenches, i.e. non-adiabatic changes, is presented. Using exact diagonalisation, we numerically study the Transverse Field Ising Model (TFIM) and the Axial Next Nearest Neighbour Ising Model (ANNNI). We numerically test the following conjecture: Within the same phase, the overlap between the initial ground state and the ground state of the quenched Hamiltonian is the largest possible eigenstate overlap. In the TFIM, this conjecture is confirmed for both the paramagnetic (PM) and the ferromagnetic (FM) phases. In the ANNNI model results are ambiguous in some phases, due to both numerical errors and finite size effects.