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Bloch oscillation with a diatomic tight-binding model on quantum computers

Peng Guo*

Jaime Park†

Frank X. Lee‡

  • *Contact author: peng.guo@dsu.edu
  • †Contact author: jaime.s.park@vanderbilt.edu
  • ‡Contact author: fxlee@gwu.edu
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Phys. Rev. Research 7, 033285 – Published 26 September, 2025

DOI: https://doi.org/10.1103/271g-ntj6

Abstract

We aim to explore a more efficient way to simulate few-body dynamics on quantum computers. Instead of mapping the second quantization of the system Hamiltonian to qubit Pauli gate representation via the Jordan-Wigner transform, we propose to use the few-body Hamiltonian matrix under the state-vector basis representation, which is more economical on the required number of quantum registers. For a single-particle excitation state on a one-dimensional chain, Γ qubits can simulate N=2Γ number of sites, in comparison to N qubits for N sites via the Jordan-Wigner approach. A two-band diatomic tight-binding model is used to demonstrate the effectiveness of the state-vector basis representation. Both one-particle and two-particle quantum circuits are constructed, and some numerical tests on IBM hardware are presented.

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Phys. Rev. Research 7, 033285– Published 26 September, 2025
  • Received 22 May 2025
  • Accepted 8 September 2025
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