We develop a new method for the construction of one-dimensional integrable Lindblad systems, which describe quantum many body models in contact with a Markovian environment. We find several new models with interesting features, such as annihilation-diffusion processes, a mixture of coherent and classical particle propagation, and a rectified steady state current. We also find new ways to represent

The transition motion of a point particle around the last stable orbit of Kerr is described at leading order in the transition-timescale expansion. Taking systematically into account all self-force effects, we prove that the transition motion is still described by the Painlevé transcendent equation of the first kind. Using an asymptotically matched expansions scheme, we consistently match the quasicircular

The unique optical properties of graphene were combined with lithium-ion battery technology to produce multispectral optical devices, with colour-changing capabilities.

Wells are proliferating, but data from across the country show that groundwater extraction is falling.

Astronomers watch as a star is nearly totally blotted out, perhaps by a disk of material surrounding another star.

Expert tips for novice programmers.

Working across continents brings practical and cultural challenges

Researchers track down a signalling molecule and brain cells involved in generating a sneeze.

Listen to our collaboration special | 09 June 2021

The central challenge in building a quantum computer is error correction. Unlike classical bits, which are susceptible to only one type of error, quantum bits (qubits) are susceptible to two types of error, corresponding to flips of the qubit state about the X and Z directions. Although the Heisenberg uncertainty principle precludes simultaneous monitoring of X- and Z-flips on a single qubit, it is

DNA has long been used as a template for the construction of helical assemblies of inorganic nanoparticles1,2,3,4,5. For example, gold nanoparticles decorated with DNA (or with peptides) can create helical assemblies6,7,8,9. But without such biological ligands, helices are difficult to achieve and their mechanism of formation is challenging to understand10,11. Atomically precise nanoclusters that are

Macrophages have a key role in shaping the tumour microenvironment (TME), tumour immunity and response to immunotherapy, which makes them an important target for cancer treatment1,2. However, modulating macrophages has proved extremely difficult, as we still lack a complete understanding of the molecular and functional diversity of the tumour macrophage compartment. Macrophages arise from two distinct

Despite recent efforts to advance spintronics devices and quantum information technology using materials with non-trivial topological properties, three key challenges are still unresolved1,2,3,4,5,6,7,8,9. First, the identification of topological band degeneracies that are generically rather than accidentally located at the Fermi level. Second, the ability to easily control such topological degeneracies

Minimally invasive approaches to detect residual disease after surgery are needed to identify patients with cancer who are at risk for metastatic relapse. Circulating tumour DNA (ctDNA) holds promise as a biomarker for molecular residual disease and relapse1. We evaluated outcomes in 581 patients who had undergone surgery and were evaluable for ctDNA from a randomized phase III trial of adjuvant atezolizumab

Ionotropic glutamate delta receptors 1 (GluD1) and 2 (GluD2) exhibit the molecular architecture of postsynaptic ionotropic glutamate receptors, but assemble into trans-synaptic adhesion complexes by binding to secreted cerebellins that in turn interact with presynaptic neurexins1,2,3,4. It is unclear whether neurexin–cerebellin–GluD1/2 assemblies serve an adhesive synapse-formation function or mediate

In less than a decade, analyses of ancient genomes have transformed our understanding of the Indigenous peopling and population history of the Americas. These studies have shown that this history, which began in the late Pleistocene epoch and continued episodically into the Holocene epoch, was far more complex than previously thought. It is now evident that the initial dispersal involved the movement

Red supergiants are the most common final evolutionary stage of stars that have initial masses between 8 and 35 times that of the Sun1. During this stage, which lasts roughly 100,000 years1, red supergiants experience substantial mass loss. However, the mechanism for this mass loss is unknown2. Mass loss may affect the evolutionary path, collapse and future supernova light curve3 of a red supergiant

Flowing waters have a unique role in supporting global biodiversity, biogeochemical cycles and human societies1,2,3,4,5. Although the importance of permanent watercourses is well recognized, the prevalence, value and fate of non-perennial rivers and streams that periodically cease to flow tend to be overlooked, if not ignored6,7,8. This oversight contributes to the degradation of the main source of

Hippocampal neurons encode physical variables1,2,3,4,5,6,7 such as space1 or auditory frequency6 in cognitive maps8. In addition, functional magnetic resonance imaging studies in humans have shown that the hippocampus can also encode more abstract, learned variables9,10,11. However, their integration into existing neural representations of physical variables12,13 is unknown. Here, using two-photon

Understanding structural dynamics of biomolecules at the single-molecule level is vital to advancing our knowledge of molecular mechanisms. Currently, there are few techniques that can capture dynamics at the sub-nanometre scale and in physiologically relevant conditions. Atomic force microscopy (AFM)1 has the advantage of analysing unlabelled single molecules in physiological buffer and at ambient

Letter to the Editor

Letter to the Editor

A book of scientific smorgasbord and an account of hearing Einstein lecture.

Letter to the Editor

Letter to the Editor

Tips for defusing authorship disputes, a Y-chromosome database is challenged over ethics and how graphs revolutionized problem-solving.

A city that faced a public-health emergency shows how collaborations with neighbourhood advocates can advance health equity.

Geneticists say a global Y-chromosome database holds profiles from men who are unlikely to have given free informed consent.

Scientists who plan to partner on a research project should identify pressure points and consider a team charter at the outset.

Modular materials can be programmed to self-assemble into hollow shells with a wide variety of shapes.