Quantum computation of massive four-fermion models in 1+1-dimensions

We consider the 1+1-dimensional four fermion models with large number of fermionic flavours, $N_f$. We prepare approximate ground states with good fidelity using ADAPT-VQE up to 16 qubits and obtain the circuit complexity of time dynamics to be \tilde{O}(n), where $n$ is the number of qubits. This implies that studying real-time dynamics in this model at finite and large $N_f$ to probe chiral symmetry breaking and other non-perturbative effects will be efficient using a quantum computer in the future. We also comment on the dynamical Lie algebra of these four-fermionic models and how the one flavor Thirring model is special case and discuss its implications for time-energy uncertainty principle (TEUP).