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Topology

All articles tagged with #topology

Scientists Forge a Half-Möbius Molecule with a New Electronic Topology
chemistry19 days ago

Scientists Forge a Half-Möbius Molecule with a New Electronic Topology

Researchers built a 13‑carbon ring that hosts two isolated conjugated subsystems; by placing chlorine atoms to separate them, the ring spontaneously twists by 90 degrees and becomes a single, fully delocalized 24‑electron system with a unique electronic/magnetic profile distinct from classic Möbius structures. The molecule exists as two enantiomers, which can be interconverted using a small external voltage, a breakthrough reported in Science by Manchester and IBM Zurich teams and signaling a new topological approach to designing matter.

via Live Science|
#chemistry#chirality#electronic-structure
Researchers Reveal Rich 48-Dimensional Topology Inside Entangled Photons
physics20 days ago

Researchers Reveal Rich 48-Dimensional Topology Inside Entangled Photons

Researchers at the University of the Witwatersrand and collaborators demonstrated that entangled photons carry a hidden, high-dimensional topology—up to 48 dimensions—with over 17,000 distinct signatures. This topology arises from a single property of light, its orbital angular momentum, enabling a new high-dimensional encoding scheme for quantum information. Because OAM spans many values, the resulting topology can be very rich, and the effect can be observed using standard SPDC lab setups, potentially improving the robustness of future quantum technologies.

via ScienceDaily|
#high-dimensional-states#orbital-angular-momentum#photonics
Entangled Photons Unveil a 48-Dimensional Topology
science29 days ago

Entangled Photons Unveil a 48-Dimensional Topology

Physicists from the University of the Witwatersrand and Huzhou University report that entangled photons produced via spontaneous parametric downconversion harbor a rich, high-dimensional topological structure within their spatial degrees of freedom, specifically in orbital angular momentum. They observed a topology spanning 48 dimensions with over 17,000 distinct signatures, suggesting new ways to encode and protect quantum information against noise. Because OAM is inherently high-dimensional, the topology is also effectively limitless in practice, and these effects can be explored with standard quantum optics lab setups, offering a practical path toward more stable quantum technologies.

via SciTechDaily|
#orbital-angular-momentum#quantum-entanglement#quantum-information
Knots Fall Apart in Four-Dimensional Space, But Surfaces Remain Knotty
science1 month ago

Knots Fall Apart in Four-Dimensional Space, But Surfaces Remain Knotty

The article explains that in four dimensions a knot tied on a rope cannot stay knotted, because the extra dimension lets strands slide past each other; by contrast, two-dimensional surfaces such as balloons can still be knotted in higher dimensions. A guiding formula says you can knot an object of dimension d only up to dimension 2d+1; for a rope (1D) that means up to 3D, while a 2D surface can be knotted in up to 5D. The piece uses analogies (ants on a line, a movie-like sequence of 3D frames) to visualize 4D space and notes that knotted surfaces in 4D is a vibrant area of research linking geometry to our understanding of four-dimensional space.

via The Conversation|
#dimension#four-dimensional-space#knots
Laser flips magnetism in twisted 2D material, enabling light-defined circuits
science2 months ago

Laser flips magnetism in twisted 2D material, enabling light-defined circuits

Researchers demonstrated optical, non-thermal control of magnetism in a twisted bilayer MoTe2; a laser pulse reversibly flips the ferromagnetic polarity, with switching dynamics tied to whether electrons reside in a topological insulating or metallic state. This links topology and magnetism in a single platform and suggests future possibilities for light-written topological circuits and tiny interferometers on chips.

via SciTechDaily|
#laser#magnetism#moire-materials
Quantum-Critical Surprise: New Topological State Found in CeRu4Sn6
science2 months ago

Quantum-Critical Surprise: New Topological State Found in CeRu4Sn6

Researchers observed a novel topological semimetal state in CeRu4Sn6 at ultracold temperatures, a phase once deemed impossible, arising from quantum criticality that ties strong electron interactions to topology. The state was signaled by an unusual Hall effect without a magnetic field, indicating robust topological behavior with potential quantum-tech applications. The team plans to explore this state in other materials and refine the topology details. Published in Nature Physics.

via ScienceAlert|
#ceru4sn6#condensed-matter#quantum-criticality
Emergent Topology Arises in Quantum-Critical CeRu4Sn6
physics2 months ago

Emergent Topology Arises in Quantum-Critical CeRu4Sn6

Researchers at TU Wien report that the quantum material CeRu4Sn6 enters a quantum-critical regime at ultra-low temperatures where electrons lose their particle-like character, yet the system hosts an emergent topological semimetal state. They observed a spontaneous (anomalous) Hall effect without an external magnetic field, linking quantum fluctuations to topology and suggesting that topological properties can arise even when the conventional particle-picture fails. The work also points to a generalized, emergent view of topology and proposes focusing on quantum-critical materials to discover new topological phases.

via SciTechDaily|
#ceru4sn6#condensed-matter-physics#emergent-topological-semimetal
Number of Holes in the Human Body
science3 months ago

Number of Holes in the Human Body

The human body has approximately seven or eight topologically distinct holes, including the mouth, anus, nostrils, tear ducts, and possibly the vagina and fallopian tubes, depending on how connections are counted, with the count influenced by the topological perspective that considers how openings connect internally.

via Live Science|
#anatomy#body-openings#holes
"Unveiling the Inextricable Link Between Quantum Entanglement and Topology"
quantum-physics2 years ago

"Unveiling the Inextricable Link Between Quantum Entanglement and Topology"

Researchers at the University of the Witwatersrand have achieved a breakthrough in quantum entanglement by manipulating entangled particles without altering their intrinsic properties, demonstrating the potential for practical applications in quantum communication and information processing. The team's novel method involves customizing the shared wave-function of entangled photons, revealing the significance of topology in preserving certain properties of entangled states. This discovery opens the door to new quantum communication protocols and offers a potential encoding mechanism for quantum systems, paving the way for defining new protocols and exploring topological nonlocal quantum states.

via Earth.com|
#quantum-communication#quantum-entanglement#quantum-physics
"Unveiling the Interconnectedness of Quantum Entanglement and Topology"
physics2 years ago

"Unveiling the Interconnectedness of Quantum Entanglement and Topology"

Researchers have demonstrated the interconnectedness of quantum entanglement and topology by perturbing pairs of entangled photons without altering their shared properties. This achievement, published in Nature Photonics, reveals the malleability of entangled photons' topology, likened to clay in a potter's hands. The study explores the Skyrmion topology, initially explored in the 1980s, and presents a paradigm shift by showing that this topology can be nonlocal or shared between spatially separated entities. The researchers envision using topology as a framework for classifying entangled states, potentially paving the way for new quantum communication protocols.

via Phys.org|
#photon#physics#quantum-entanglement