Just out! We uncover universal relations among nonlinear transport coefficients in quantum materials — a step toward a generalized Mott-Wiedemann-Franz-Onsager framework beyond linear response. (1/2)
🌐 arxiv.org/abs/2505.16999
#CondensedMatter #QuantumTransport #NonlinearResponse #QuantumGeometry
🌐 arxiv.org/abs/2505.16999
#CondensedMatter #QuantumTransport #NonlinearResponse #QuantumGeometry
May 29, 2025 at 4:01 AM
Just out! We uncover universal relations among nonlinear transport coefficients in quantum materials — a step toward a generalized Mott-Wiedemann-Franz-Onsager framework beyond linear response. (1/2)
🌐 arxiv.org/abs/2505.16999
#CondensedMatter #QuantumTransport #NonlinearResponse #QuantumGeometry
🌐 arxiv.org/abs/2505.16999
#CondensedMatter #QuantumTransport #NonlinearResponse #QuantumGeometry
Analysis reveals that the imaginary part of the quantum geometric tensor for mixed states cannot serve as a true U(1) connection curvature, displaying non-quantized ambiguities absent in pure states.
#QuantumGeometry #BerryPhase #Research
#QuantumGeometry #BerryPhase #Research
Berry Curvature Geometry of Mixed Quantum States
arxiv.org
September 21, 2026 at 4:02 AM
Analysis reveals that the imaginary part of the quantum geometric tensor for mixed states cannot serve as a true U(1) connection curvature, displaying non-quantized ambiguities absent in pure states.
#QuantumGeometry #BerryPhase #Research
#QuantumGeometry #BerryPhase #Research
Twisted Graphene Sheets Reveal 'Unconventional' Superconductivity Governed by Quantum Geometry #Technology #EmergingTechnologies #QuantumComputing #Superconductivity #QuantumGeometry #EmergingTech
Twisted Graphene Sheets Reveal 'Unconventional' Superconductivity Governed by Quantum Geometry
Twisting two atomically thin sheets of graphene enables
puretech.news
February 8, 2025 at 11:27 PM
Twisted Graphene Sheets Reveal 'Unconventional' Superconductivity Governed by Quantum Geometry #Technology #EmergingTechnologies #QuantumComputing #Superconductivity #QuantumGeometry #EmergingTech
AI and Quantum Geometry Drive Quest for Room-Temperature Superconductors ⚡🔬🌍 www.azoai.com/news/2025020... #Superconductors #QuantumGeometry #AI #MaterialScience #EnergyEfficiency #QuantumPhysics #HighTech #Sustainability #Innovation
AI and Quantum Geometry Drive Quest for Room-Temperature Superconductors
Researchers from Rice University and an international team have secured multimillion-dollar funding to develop next-generation superconductors using AI and quantum geometry, aiming for room-temperatur...
www.azoai.com
February 5, 2025 at 2:25 AM
AI and Quantum Geometry Drive Quest for Room-Temperature Superconductors ⚡🔬🌍 www.azoai.com/news/2025020... #Superconductors #QuantumGeometry #AI #MaterialScience #EnergyEfficiency #QuantumPhysics #HighTech #Sustainability #Innovation
The work “opens new avenues for understanding and manipulating the quantum properties of materials,” says Riccardo Comin. “We’ve essentially developed a blueprint for obtaining some completely new information that couldn’t be obtained before.”#quantumgeometry
Physicists measure quantum geometry for the first time
MIT physicists and colleagues measured quantum geometry for first time, opening new avenues for understanding and manipulating electrons in materials.
news.mit.edu
January 21, 2025 at 2:28 AM
The work “opens new avenues for understanding and manipulating the quantum properties of materials,” says Riccardo Comin. “We’ve essentially developed a blueprint for obtaining some completely new information that couldn’t be obtained before.”#quantumgeometry
Quantum geometric structures—Berry curvature, metric tensor & connections—govern graviton transport through curved spacetime, unifying chiral vortical effects and gravitomagnetic responses via spinor-helicity formalism.
#QuantumGeometry #Gravitons #QuantumFieldTheory
#QuantumGeometry #Gravitons #QuantumFieldTheory
Quantum Geometry of Gravitons
arxiv.org
September 15, 2026 at 10:18 PM
Quantum geometric structures—Berry curvature, metric tensor & connections—govern graviton transport through curved spacetime, unifying chiral vortical effects and gravitomagnetic responses via spinor-helicity formalism.
#QuantumGeometry #Gravitons #QuantumFieldTheory
#QuantumGeometry #Gravitons #QuantumFieldTheory
First theoretical evidence that rapidly changing electromagnetic fields alter Hilbert space geometry by inducing quantum state non-orthogonality, suggesting dynamic metric structures analogous to spacetime curvature in general relativity.
#QuantumGeometry #HilbertSpace #Research
#QuantumGeometry #HilbertSpace #Research
Nonadiabatic Electromagnetic Fields Induce Hilbert Space Geometry Transitions
arxiv.org
September 9, 2026 at 3:35 PM
First theoretical evidence that rapidly changing electromagnetic fields alter Hilbert space geometry by inducing quantum state non-orthogonality, suggesting dynamic metric structures analogous to spacetime curvature in general relativity.
#QuantumGeometry #HilbertSpace #Research
#QuantumGeometry #HilbertSpace #Research
Physicist Giacomo Sala investigates how quantum geometry influences spintronic effects, combining two previously unlinked physics fields toward potential breakthroughs in data storage efficiency and materials design.
#Spintronics #QuantumGeometry #DataStorage
#Spintronics #QuantumGeometry #DataStorage
ERC Grant Funds Novel Spintronics-Quantum Geometry Research at PSI
quantumzeitgeist.com
September 4, 2026 at 4:59 PM
Physicist Giacomo Sala investigates how quantum geometry influences spintronic effects, combining two previously unlinked physics fields toward potential breakthroughs in data storage efficiency and materials design.
#Spintronics #QuantumGeometry #DataStorage
#Spintronics #QuantumGeometry #DataStorage
Quantized topological charges discovered at Floquet quasienergy degeneracies in strongly driven two-level systems. Novel parity-selection rule at multi-photon resonances and measurement protocols for direct observation of geometric phases.
#TopologicalPhases #FloqetControl #QuantumGeometry
#TopologicalPhases #FloqetControl #QuantumGeometry
Topological Charges and Parity Selection in Driven Two-Level Quantum Systems
arxiv.org
September 2, 2026 at 2:17 AM
Quantized topological charges discovered at Floquet quasienergy degeneracies in strongly driven two-level systems. Novel parity-selection rule at multi-photon resonances and measurement protocols for direct observation of geometric phases.
#TopologicalPhases #FloqetControl #QuantumGeometry
#TopologicalPhases #FloqetControl #QuantumGeometry
We develop an information-geometric framework characterizing non-equilibrium quantum many-body dynamics, introducing mixed metric components that reveal geometric coupling between parameter deformation and real-time quantum state evolution.
#QuantumGeometry #QuantumInformation #Research
#QuantumGeometry #QuantumInformation #Research
Information Geometry of Non-Equilibrium Quantum States: Mixed Metric Structures on Extended Information Manifold
iq.fp2.dev
September 2, 2026 at 2:15 AM
We develop an information-geometric framework characterizing non-equilibrium quantum many-body dynamics, introducing mixed metric components that reveal geometric coupling between parameter deformation and real-time quantum state evolution.
#QuantumGeometry #QuantumInformation #Research
#QuantumGeometry #QuantumInformation #Research
Researchers derive exact analytical solutions for the quarter-flux Harper-Hofstadter model's spectrum and quantum geometry, showing its lowest band nearly achieves ideal fractional Chern insulator properties without fine-tuning.
#QuantumGeometry #TopologicalPhysics #Research
#QuantumGeometry #TopologicalPhysics #Research
Analytical Solutions for Quarter-Flux Harper-Hofstadter Model Quantum Geometry
arxiv.org
August 27, 2026 at 5:10 AM
Researchers derive exact analytical solutions for the quarter-flux Harper-Hofstadter model's spectrum and quantum geometry, showing its lowest band nearly achieves ideal fractional Chern insulator properties without fine-tuning.
#QuantumGeometry #TopologicalPhysics #Research
#QuantumGeometry #TopologicalPhysics #Research
Ibaraki researchers overcame a fundamental theoretical limitation using gradient-flow methods, achieving nearly flat electronic bands alongside almost uniform Berry curvature—previously considered mutually exclusive in finite lattice systems.
#GradientFlow #QuantumGeometry #News
#GradientFlow #QuantumGeometry #News
Gradient-Flow Method Achieves Nearly Flat Bands with Uniform Berry Curvature
quantumzeitgeist.com
August 25, 2026 at 11:36 AM
Ibaraki researchers overcame a fundamental theoretical limitation using gradient-flow methods, achieving nearly flat electronic bands alongside almost uniform Berry curvature—previously considered mutually exclusive in finite lattice systems.
#GradientFlow #QuantumGeometry #News
#GradientFlow #QuantumGeometry #News
Distribution of squared Pauli measurements encodes twice the quantum Fisher information of pure states. Bell measurements on conjugate pairs directly saturate this metric, enabling quantum sensing from existing stabilizer entropy protocols.
#QuantumMetrology #QuantumGeometry #Research
#QuantumMetrology #QuantumGeometry #Research
Pauli Probability Spectrum Carries Pure-State Quantum Fisher Metric
arxiv.org
August 25, 2026 at 10:33 AM
Distribution of squared Pauli measurements encodes twice the quantum Fisher information of pure states. Bell measurements on conjugate pairs directly saturate this metric, enabling quantum sensing from existing stabilizer entropy protocols.
#QuantumMetrology #QuantumGeometry #Research
#QuantumMetrology #QuantumGeometry #Research
Parametric pairing creates flat Bogoliubov bands with long-range quantum correlations controlled by a geometric length scale from complex-momentum singularities, enabling sub-vacuum squeezing far beyond compact-generator support.
#QuantumGeometry #BogoliubovModes #QuantumSqueezing
#QuantumGeometry #BogoliubovModes #QuantumSqueezing
Quantum-Geometric Control of Long-Distance Squeezing in Bogoliubov Systems
arxiv.org
August 25, 2026 at 3:14 AM
Parametric pairing creates flat Bogoliubov bands with long-range quantum correlations controlled by a geometric length scale from complex-momentum singularities, enabling sub-vacuum squeezing far beyond compact-generator support.
#QuantumGeometry #BogoliubovModes #QuantumSqueezing
#QuantumGeometry #BogoliubovModes #QuantumSqueezing
Researchers establish quantum-geometric constraints defining when Casimir forces transition from attractive to repulsive using fundamental material properties like electronic density and Chern number.
#CasimirForce #QuantumGeometry #News
#CasimirForce #QuantumGeometry #News
Quantum Geometry Sets Bounds on Repulsive Casimir Forces
quantumzeitgeist.com
August 22, 2026 at 7:02 PM
Researchers establish quantum-geometric constraints defining when Casimir forces transition from attractive to repulsive using fundamental material properties like electronic density and Chern number.
#CasimirForce #QuantumGeometry #News
#CasimirForce #QuantumGeometry #News
Geometric characterization of quantum entanglement via convex state spaces. We derive bounds relating Best Separable Approximation weight to robustness and geometric entangled-space sizes, providing new insights into bipartite entanglement structure.
#QuantumEntanglement #QuantumGeometry #Research
#QuantumEntanglement #QuantumGeometry #Research
Radial Convex Geometry of Quantum Entanglement and Best Separable Approximation
arxiv.org
August 21, 2026 at 4:53 AM
Geometric characterization of quantum entanglement via convex state spaces. We derive bounds relating Best Separable Approximation weight to robustness and geometric entangled-space sizes, providing new insights into bipartite entanglement structure.
#QuantumEntanglement #QuantumGeometry #Research
#QuantumEntanglement #QuantumGeometry #Research
New theoretical framework relates quantum geometric speed (Fubini-Study metric) to dynamical instability in bosonic systems. Sharp bound established; relation is one-sided, enabling independent control of rates in parametric amplifiers.
#QuantumGeometry #QuantumDynamics #Research
#QuantumGeometry #QuantumDynamics #Research
Quantum-Geometric Bounds on Dynamical Instability in Bosonic Systems
arxiv.org
August 14, 2026 at 7:41 AM
New theoretical framework relates quantum geometric speed (Fubini-Study metric) to dynamical instability in bosonic systems. Sharp bound established; relation is one-sided, enabling independent control of rates in parametric amplifiers.
#QuantumGeometry #QuantumDynamics #Research
#QuantumGeometry #QuantumDynamics #Research
Metastable chiral domain walls discovered in quantum anomalous Hall magnets—topological spin textures that survive strong reverse magnetic fields, stabilized by quantum geometry. May limit topological protection in moiré materials.
#TopologicalMagnetism #QuantumGeometry #Research
#TopologicalMagnetism #QuantumGeometry #Research
Metastable Chiral Domain Walls in Topological Magnets
arxiv.org
August 10, 2026 at 6:38 AM
Metastable chiral domain walls discovered in quantum anomalous Hall magnets—topological spin textures that survive strong reverse magnetic fields, stabilized by quantum geometry. May limit topological protection in moiré materials.
#TopologicalMagnetism #QuantumGeometry #Research
#TopologicalMagnetism #QuantumGeometry #Research
Framework unifying local quantum geometry with global topology through spectral projectors, bypassing gauge singularities. Derives geodesics, Berry phases, and topological invariants without requiring globally smooth Bloch frames.
#QuantumGeometry #TopologicalPhysics #Research
#QuantumGeometry #TopologicalPhysics #Research
Gauge-Invariant Quantum Geometry via Spectral Projectors on Grassmannian Manifolds
arxiv.org
August 10, 2026 at 5:53 AM
Framework unifying local quantum geometry with global topology through spectral projectors, bypassing gauge singularities. Derives geodesics, Berry phases, and topological invariants without requiring globally smooth Bloch frames.
#QuantumGeometry #TopologicalPhysics #Research
#QuantumGeometry #TopologicalPhysics #Research
Develops theory linking quantum geometry of density matrices to second-order rectification response in insulators. Shows how multi-state geometric structures determine DC photocurrent sum rules without assumptions about disorder or interactions.
#QuantumGeometry #QuantumMaterials #Research
#QuantumGeometry #QuantumMaterials #Research
Multi-State Geometry of Density Matrices and Rectification Sum Rules
arxiv.org
August 7, 2026 at 4:19 AM
Develops theory linking quantum geometry of density matrices to second-order rectification response in insulators. Shows how multi-state geometric structures determine DC photocurrent sum rules without assumptions about disorder or interactions.
#QuantumGeometry #QuantumMaterials #Research
#QuantumGeometry #QuantumMaterials #Research
Researchers establish a fundamental connection between quantum probability and network geometry by reinterpreting the graph trace formula through quantum measurement and curvature, opening new pathways for quantum information and materials science.
#QuantumGraphs #QuantumGeometry #News
#QuantumGraphs #QuantumGeometry #News
Graph Trace Formula Reinterpreted Through Quantum Probability and Curvature
quantumzeitgeist.com
August 1, 2026 at 4:50 PM
Researchers establish a fundamental connection between quantum probability and network geometry by reinterpreting the graph trace formula through quantum measurement and curvature, opening new pathways for quantum information and materials science.
#QuantumGraphs #QuantumGeometry #News
#QuantumGraphs #QuantumGeometry #News
A rigorous mathematical framework embedding quantum states in truncated dual number algebras, revealing how quantum dynamics map to flat algebraic flows—opening new geometric perspectives on quantum kinematics.
#QuantumInformation #QuantumGeometry #Research
#QuantumInformation #QuantumGeometry #Research
Geometric Framework for Quantum State Spaces via Dual Number Algebras
arxiv.org
July 15, 2026 at 3:34 AM
A rigorous mathematical framework embedding quantum states in truncated dual number algebras, revealing how quantum dynamics map to flat algebraic flows—opening new geometric perspectives on quantum kinematics.
#QuantumInformation #QuantumGeometry #Research
#QuantumInformation #QuantumGeometry #Research
Develops a geometric taxonomy unifying quantum machine learning representations. Proves quantum fidelity kernels are exactly Hermitian projector kernels and QVR returns are anchor-overlap scores—clarifying when invariance choices match tasks.
#QuantumML #QuantumGeometry #Research
#QuantumML #QuantumGeometry #Research
Invariance Audits for Quantum Kernels and Variational Rewinding
arxiv.org
July 10, 2026 at 7:02 AM
Develops a geometric taxonomy unifying quantum machine learning representations. Proves quantum fidelity kernels are exactly Hermitian projector kernels and QVR returns are anchor-overlap scores—clarifying when invariance choices match tasks.
#QuantumML #QuantumGeometry #Research
#QuantumML #QuantumGeometry #Research
New framework extends quantum geometric tensor to non-compact systems where vacuum instability renders states non-normalizable, using canonical operator frames and rigged Hilbert space formalism to maintain geometric structure across phase transitions.
#QuantumGeometry #QuantumPhysics #Research
#QuantumGeometry #QuantumPhysics #Research
Quantum Geometric Tensor in Non-Compact Systems via Operator Frames
arxiv.org
July 9, 2026 at 5:30 AM
New framework extends quantum geometric tensor to non-compact systems where vacuum instability renders states non-normalizable, using canonical operator frames and rigged Hilbert space formalism to maintain geometric structure across phase transitions.
#QuantumGeometry #QuantumPhysics #Research
#QuantumGeometry #QuantumPhysics #Research
Researchers demonstrated that Uhlmann phase for mixed quantum states can be reproduced via Wilczek–Zee connection in a four-level Hermitian parent Hamiltonian, enabling simulation of mixed-state geometric phases through standard Hamiltonian dynamics.
#QuantumGeometry #QuantumSimulation #Research
#QuantumGeometry #QuantumSimulation #Research
Wilczek–Zee Realization of Uhlmann Parallel Transport
arxiv.org
July 8, 2026 at 5:49 AM
Researchers demonstrated that Uhlmann phase for mixed quantum states can be reproduced via Wilczek–Zee connection in a four-level Hermitian parent Hamiltonian, enabling simulation of mixed-state geometric phases through standard Hamiltonian dynamics.
#QuantumGeometry #QuantumSimulation #Research
#QuantumGeometry #QuantumSimulation #Research