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

Outlet Title

Physical Review Research

Authors

Peng Guo, Dakota State UniversityFollow
Jaime Park, Vanderbilt UniversityFollow
Frank X. Lee, George Washington UniversityFollow

Document Type

Article

Publication Date

Fall 9-26-2025

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=2^Γ 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.

Recommended Citation

Phys. Rev. Research 7, 033285 (2025)