Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Bulletin of the American Physical Society

Many body localization in a quantum Ising model: A numerical study

Jonas A. Kjäll, Jens Hjorleifur Bardarson, Frank Pollmann

Published Mar 6, 2014• 0 citations
OpenAlex

Related papers

Nonstabilizerness Dynamics in Many-Body Localized Systems

Pedro R. Nicácio Falcão, Piotr Sierant, Jakub Zakrzewski +1 more

Nonstabilizerness, also known as "magic," quantifies the deviation of quantum states from stabilizer states, capturing the complexity necessary for quantum computational advantage. In this Letter, we investigate the dynamics of nonstabilizerness in disordered many-body localized (MBL) systems using the stabilizer Rényi entropy (SRE). Leveraging a phenomenological description based on the ℓ-bit model, we analytically and numerically demonstrate that interactions profoundly influence nonstabilizerness spreading, inducing a power-law growth of SRE that markedly contrasts with the rapid saturation observed in ergodic systems. We validate our theoretical predictions through numerical simulations of the disordered transverse-field Ising model, showing excellent agreement across various disorder strengths, system sizes, and initial states. Additionally, we uncover a universal relationship between SRE and entanglement entropy, revealing their common scaling in the MBL regime independent of disorder strength and system size. Our results offer critical insights into the interplay of disorder, interactions, and complexity in quantum many-body systems.

arXiv:2503.07468•Physical Review Letters•Nov 19, 2025•14 citations

Many-Body Localization Transition in the Heisenberg Ising Chain

Yining Geng, Taotao Hu, Kang Xue +4 more

International Journal of Theoretical Physics•Feb 17, 2020•2 citations

Many-body localization in a quantum Ising model with the long-range interaction: Accurate determination of the transition point

I. V. Lukin, Andrii Sotnikov, Alexander L. Burin

We investigate the many-body localization (MBL) transition in the quantum Ising model with long-range interactions. Unlike spin chains with short-range interactions, where the MBL transition point remains elusive due to strong finite-size effects and local fluctuations, long-range interactions suppress such fluctuations and enable clearer signatures of critical behavior. Using exact results from a related Bethe lattice localization problem, we estimate the MBL threshold within logarithmic accuracy and find consistency with exact diagonalization. Although the critical disorder diverges in the thermodynamic limit, our results demonstrate that the critical regime can still be probed and highlight the relevance of this model to systems with dipole-dipole, elastic, or indirect exchange interactions.

arXiv:2505.20159•SciPost Physics•Jan 27, 2026•0 citations

Many-body localization in the quantum random energy model

Chris R. Laumann, Arijeet Pal

Bulletin of the American Physical Society•Mar 3, 2014•0 citations

Topological order in random interacting Ising-Majorana chains stabilized by many-body localization

Nicolas Laflorencie, Gabriel Lemarié, Nicolas Macé

A numerical investigation shows that many-body localization (MBL) protects topological order at all energies in random interacting Ising/Majorana chains, thus opening perspectives for MBL-protected topological qubits.

arXiv:2201.00556•Physical Review Research•Jul 29, 2022•28 citations

Many-Body Localization in Simulation of Fermionic Systems

Adrian Chapman, Akimasa Miyake

Bulletin of the American Physical Society•Mar 15, 2016•0 citations
Nonstabilizerness, also known as "magic," quantifies the deviation of quantum states from stabilizer states, capturing the complexity necessary for quantum computational advantage. In this Letter, we investigate the dynamics of nonstabilizerness in disordered many-body localized (MBL) systems using the stabilizer Rényi entropy (SRE). Leveraging a phenomenological description based on the ℓ-bit model, we analytically and numerically demonstrate that interactions profoundly influence nonstabilizerness spreading, inducing a power-law growth of SRE that markedly contrasts with the rapid saturation observed in ergodic systems. We validate our theoretical predictions through numerical simulations of the disordered transverse-field Ising model, showing excellent agreement across various disorder strengths, system sizes, and initial states. Additionally, we uncover a universal relationship between SRE and entanglement entropy, revealing their common scaling in the MBL regime independent of disorder strength and system size. Our results offer critical insights into the interplay of disorder, interactions, and complexity in quantum many-body systems.
We investigate the many-body localization (MBL) transition in the quantum Ising model with long-range interactions. Unlike spin chains with short-range interactions, where the MBL transition point remains elusive due to strong finite-size effects and local fluctuations, long-range interactions suppress such fluctuations and enable clearer signatures of critical behavior. Using exact results from a related Bethe lattice localization problem, we estimate the MBL threshold within logarithmic accuracy and find consistency with exact diagonalization. Although the critical disorder diverges in the thermodynamic limit, our results demonstrate that the critical regime can still be probed and highlight the relevance of this model to systems with dipole-dipole, elastic, or indirect exchange interactions.