2022 journal article
Single-magnon excited states of a Heisenberg spin chain using a quantum computer
Physical Review B.
Excited states of spin chains play an important role in condensed matter physics. We present a method of calculating the single magnon excited states of the Heisenberg spin chain that can be efficiently implemented on a quantum processor for small spin chains. Our method involves finding the stationary points of the energy vs wave-number curve. We implement our method for four-site and eight-site Heisenberg Hamiltonians using numerical techniques as well as using an IBM quantum processor. Finally, we give insight into the circuit complexity and scaling of our proposed method.