2022 journal article
Single-magnon excited states of a Heisenberg spin chain using a quantum computer
Physical Review B.
TL;DR:
A method of calculating the single magnon excited states of the Heisenberg spin-chain that can be implemented on a quantum processor for small spin chains and an insight into the circuit complexity and scaling is given.
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Source: ORCID
Added: November 3, 2022
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 wavenumber curve. We implement our method for 4-site and 8-site Heisenberg Hamiltonians using numerical techniques as well as using an IBM quantum processor. Finally, we give an insight into the circuit complexity and scaling of our proposed method.