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

• URL: http://arxiv.org/abs/2505.15945v1
• Date: Wed, 21 May 2025 19:02:16 GMT
• Title: Bloch oscillation with a diatomic tight-binding model on quantum computers
• Authors: Peng Guo, Jaime Park, Frank X. Lee,
• Abstract summary: We propose to use the few-body Hamiltonian matrix under the statevector basis representation.<n>For a single-particle excitation state on a one-dimensional chain, $Gamma$ qubits can simulate $N=2Gamma$ number of sites.<n>A two-band diatomic tight-binding model is used to demonstrate the effectiveness of the statevector basis representation.
• Score: 4.004381224515065
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• 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 gates representation via the Jordan-Wigner transform, we propose to use the few-body Hamiltonian matrix under the statevector basis representation which is more economical on the required number of quantum registers. For a single-particle excitation state on a one-dimensional chain, $\Gamma$ qubits can simulate $N=2^\Gamma$ 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 statevector 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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