Quantum computer-based simulation of Stark many-body localization in a 1D Fermi-Hubbard model
Abstract
Many-body localization (MBL) is a dynamical phenomenon that describes the non-ergodicity of isolated quantum many-body systems. In contrast to thermalization, this phenomenon leads to a long-lived memory of initial states of local systems and slow growth of entanglement. In this work, we study Stark MBL in a 12-qubit correlated fermionic system described by the one-dimensional Fermi-Hubbard model using Hamiltonian simulation on an IBM superconducting qubit quantum computer. To enable such a computation on current-day noisy hardware, we combine a series of compilation steps, including the use of the spin-resolved Jordan-Wigner transformation, employing SWAP networks, and integrating a tensor-network-based quantum circuit optimization routine on top of a standard circuit optimization pipeline. As a result, there is approximately an 88% and 87% reduction in two-qubit gate count and circuit depth, respectively. Through such simulations of the real-time dynamics using Trotterized quantum circuits, we exhibit a crossover from thermalizing dynamics of the system at a weak tilt of the field to a strongly localized behavior at large tilt with short evolution times. We also benchmark our obtained results with respect to those from exact simulations.
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BibTeX
@misc{kalam2026quantum,
title = {{Quantum computer-based simulation of Stark many-body localization in a 1D Fermi-Hubbard model}},
author = {Abdul Kalam and Prasenjit Deb and Akitada Sakurai and Tapan Mishra and V. S. Prasannaa and B. P. Das},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2608.02245},
eprint = {2608.02245},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.02245},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Quantum computer-based simulation of Stark many-body localization in a 1D Fermi-Hubbard model
AU - Abdul Kalam
AU - Prasenjit Deb
AU - Akitada Sakurai
AU - Tapan Mishra
AU - V. S. Prasannaa
AU - B. P. Das
PY - 2026
DA - 2026/09/07
PB - arXiv
DO - 10.48550/arxiv.2608.02245
UR - https://arxiv.org/abs/2608.02245
AB - Many-body localization (MBL) is a dynamical phenomenon that describes the non-ergodicity of isolated quantum many-body systems. In contrast to thermalization, this phenomenon leads to a long-lived memory of initial states of local systems and slow growth of entanglement. In this work, we study Stark MBL in a 12-qubit correlated fermionic system described by the one-dimensional Fermi-Hubbard model using Hamiltonian simulation on an IBM superconducting qubit quantum computer. To enable such a computation on current-day noisy hardware, we combine a series of compilation steps, including the use of the spin-resolved Jordan-Wigner transformation, employing SWAP networks, and integrating a tensor-network-based quantum circuit optimization routine on top of a standard circuit optimization pipeline. As a result, there is approximately an 88% and 87% reduction in two-qubit gate count and circuit depth, respectively. Through such simulations of the real-time dynamics using Trotterized quantum circuits, we exhibit a crossover from thermalizing dynamics of the system at a weak tilt of the field to a strongly localized behavior at large tilt with short evolution times. We also benchmark our obtained results with respect to those from exact simulations.
ER -