Science AI Journal
Physics and Astronomy · Research topic

Open research questions in Quantum many-body systems

279 unresolved questions extracted from the limitations and future-work sections of 609 Quantum many-body systems papers in our library. Each links back to the study that raised it.

What the literature leaves open

  • Although this already provides a closed formula for the scalar value of the metric, the main purpose of the present work has not been limited to the evaluation of DN itself.

    A geometric Fano--Procrustes framework for purification-based distances and quantum channels analysis · 2026

  • The challenge of realizing nonequilibrium quantum states with novel properties. The difficulty of controlling the sparsity of the giant connected cluster for the emergence of flat bands in random graphs. The need to develop new methods to measure fractal dimensions, such as box-counting.

    Many-body cages: Disorder-free glassiness from flat bands in Fock space and many-body Rabi oscillations · 2026 · DOI

  • The system size is limited for numerically accessible system sizes, - The density cannot be kept at the same value as the system size is increased, - The results are based on simulations

    Many-body cages: Disorder-free glassiness from flat bands in Fock space and many-body Rabi oscillations · 2026 · DOI

  • The measurement of X (M ) is almost experimentally infeasible for large M. The proposals so far have been limited to special cases, such as pure states or low-rank states. The schemes may involve nontrivial numerical methods, unclear experimental implementations, or complicated quantum circuits.

    Approaching the Ultimate Limit of Quantum Multiparameter Estimation by Many-Body Physics · 2026 · DOI

  • investigating the many-body nature of the observed mixed phase space - exploring the structural stability of the mixed phase-space structure - applying the hybrid feedback protocol to other quantum many-body systems

    Quantum many-body mixed phase space revealed by hybrid feedback control · 2026 · DOI

  • Let a annihilate quanta of H0(0) and let b annihilate quanta of H0(τ ). Any quadratic protocol generates a

    Shortcut-error signatures in coherence-retaining endpoint work quasistatistics · 2026

  • Our results show that the emergence of classicality in noisy random circuits depends on the measurement scheme adopted to probe it, and paves the way to further studies on the classical simulability of driven-dissipative dynamics.

    Noise-induced classical phases in optimally-unraveled random quantum circuits · 2026

  • Semi-supervised learning, where the network jointly exploits the few labeled and the many unlabeled examples at its disposal, is the standard answer to this asymmetry, yet a statistical mechanical theory of semi-supervised Hebbian learning is still lacking.

    Semi-supervised Hopfield model: Theoretical and Numerical results · 2026 · DOI

  • Semi-supervised learning, where the network jointly exploits the few labeled and the many unlabeled examples at its disposal, is the standard answer to this asymmetry, yet a statistical mechanical theory of semi-supervised Hebbian learning is still lacking.

    Semi-supervised Hopfield model: Theoretical and Numerical results · 2026 · DOI

  • Analogous behaviour in interacting quantum many-body systems has been difficult to identify. The coexistence of coherent and chaotic motion in strongly interacting quantum systems is not well understood.

    Quantum many-body mixed phase space revealed by hybrid feedback control · 2026 · DOI

  • Despite enormous efforts devoted to the study of the many-body localization (MBL) phenomenon, the nature of the high-energy behavior of the Heisenberg spin chain in a strong random magnetic field is lacking consensus.

    Interaction-Driven Instabilities in the Random-Field X X Z Chain · 2024 · DOI

  • Here, we address a fundamental open question—can the notion of self-exchange statistics be naturally defined for fractons, given their complete immobility as isolated excitations? Surprisingly, we demonstrate how fractons can be exchanged and show that their self-statistics is a key part of the characterization of fracton orders.

    Fracton Self-Statistics · 2024 · DOI

  • Further studies can investigate the properties of the tetramer chain in different parameter regimes. The paper suggests the exploration of other quantum many-body systems. Future research can focus on the development of new theoretical tools for the study of quantum phase transitions.

    Spin order and spin excitation spectra of spin-1/2 tetramer chains · 2026 · DOI

  • The paper identifies a gap in the understanding of quantum phase transitions and topological order. The study aims to contribute to the understanding of exotic quantum phases.

    Spin order and spin excitation spectra of spin-1/2 tetramer chains · 2026 · DOI

  • The need for a generalization of 4-tensors to allow different index sets. The lack of clarification of the conditions needed for the zipper condition.

    The zipper condition for 4-tensors in two-dimensional topological order and the higher relative commutants of a subfactor arising from a commuting square · 2026 · DOI

  • The intertwining property (Condition 1) is proved to be equivalent to half flatness through multiplication by unitary matrices, but the paper does not explore whether this equivalence holds for non-unitary deformations of the string field f or for quantum cellular automata on fusion spin chains with non-invertible symmetries.

    The zipper condition for 4-tensors in two-dimensional topological order and the higher relative commutants of a subfactor arising from a commuting square · 2026 · DOI

  • The paper suggests that future research should focus on experimental verification of the model. The study proposes the NACE-LNGS proposal as a possible experimental setup to test the predictions of the model. The paper notes that future research should aim to study the effects of anesthetics on consciousness using the model.

    The Influence of Ordered (Exclusion-Zone) Water on Gravitational Objective Reduction in Microtubular Quantum Channels: Bridging Orch-OR, EZ Water, and Diósi–Penrose Collapse · 2026 · DOI

  • The paper identifies a gap in the experimental verification of gravitational objective reduction. The study notes that the experiment at Gran Sasso cannot probe the regime of mesoscopic, water-shielded aromatic systems.

    The Influence of Ordered (Exclusion-Zone) Water on Gravitational Objective Reduction in Microtubular Quantum Channels: Bridging Orch-OR, EZ Water, and Diósi–Penrose Collapse · 2026 · DOI

  • The study is limited to the Su-Schrieffer-Heeger model and its disordered variants. The results are based on analytical calculations and do not include numerical simulations.

    Entanglement entropy as a probe of topological phase transitions · 2026 · DOI

  • Future studies can apply the entanglement entropy-based framework to other models and systems. The study of topological phase transitions in disordered systems can be extended to include numerical simulations.

    Entanglement entropy as a probe of topological phase transitions · 2026 · DOI

  • To develop a general theory of fracton orders that applies to all types of fracton orders. To study the implications of the excitation-detector principle for other types of gapped quantum phases. To use the algebraic theory of Abelian fracton orders to characterize universal properties of excitations in other systems.

    Excitation-detector principle and the algebraic theory of planon-only Abelian fracton orders · 2026 · DOI

  • The lack of a general theory of fracton orders that efficiently encodes universal properties. The need for a theory that characterizes the universal properties of excitations in fracton orders.

    Excitation-detector principle and the algebraic theory of planon-only Abelian fracton orders · 2026 · DOI

  • Further study of the proposed strategy in various experimental settings. Investigation of the scalability of the proposed strategy. Exploration of the applications of the proposed strategy in quantum computing and quantum simulation.

    Collective purification of interacting quantum networks beyond symmetry constraints · 2026 · DOI

  • The lack of effective cooling strategies for both high and low temperatures in interacting quantum networks. The presence of symmetries in the electron-nuclear spin coupling hinders complete polarization.

    Collective purification of interacting quantum networks beyond symmetry constraints · 2026 · DOI

  • The paper identifies a gap in the existing literature regarding the derivation of bounds for connection probabilities in random loop models. The study notes that the existing literature lacks a comprehensive understanding of the phase diagram of quantum spin systems.

    Improved bounds for connection probabilities in random loop models · 2026 · DOI

Most-cited papers in Quantum many-body systems

Most recent work

Find a gap in your own Quantum many-body systems sub-topic

This page shows what the Quantum many-body systems literature already flags as unresolved. To narrow it to your specific question, run the guided finder — it searches the gap library on demand and checks candidates against 250M+ OpenAlex works.

Open the Research Gap Finder →

Related topics in Physics and Astronomy

Cosmology and Gravitation Theories
616 open questions
Galaxies: Formation, Evolution, Phenomena
564 open questions
Stellar, planetary, and galactic studies
450 open questions
Model Reduction and Neural Networks
408 open questions
Black Holes and Theoretical Physics
341 open questions
Quantum Mechanics and Applications
318 open questions
Ionosphere and magnetosphere dynamics
314 open questions
Pulsars and Gravitational Waves Research
288 open questions
279 open questions have been extracted from the limitations and future-work passages of 609 Quantum many-body systems papers in our library. Each one below links back to the study that raised it, so you can read the original claim in context.

Tools for your next paper

Gaps & Literature SearchFind open questions in any field — 120,000+ open gaps mined from our own library.Pre-CheckIs your paper ready? A Tier 1–5 acceptance probability in seconds.Journal FinderA ranked shortlist of target journals from a 17,500-venue index.Duplicate Publication CheckerCheck prior-publication & salami-slicing risk across 8 sources.Citation GeneratorFreeA DOI or title → APA, MLA, Vancouver, Chicago, BibTeX, RIS. No signup.Graphical Abstract MakerFreeTurn your findings into a colorblind-safe graphical abstract.

Compare the category — Honest roundups of the AI research tools, ours listed alongside the alternatives.

Command palette

Jump anywhere, run any action.