Mathematical physics ≈ Mathematical physics
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The Community Earth System Model Version 2 (CESM2) Open
An overview of the Community Earth System Model Version 2 (CESM2) is provided, including a discussion of the challenges encountered during its development and how they were addressed. In addition, an evaluation of a pair of CESM2 long prei…
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Pervasive human-driven decline of life on Earth points to the need for transformative change Open
The time is now For decades, scientists have been raising calls for societal changes that will reduce our impacts on nature. Though much conservation has occurred, our natural environment continues to decline under the weight of our consum…
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Modules for Experiments in Stellar Astrophysics ( ): Convective Boundaries, Element Diffusion, and Massive Star Explosions Open
We update the capabilities of the software instrument Modules for Experiments in Stellar Astrophysics ( MESA ) and enhance its ease of use and availability. Our new approach to locating convective boundaries is consistent with the physics …
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Remarks on the Sachdev-Ye-Kitaev model Open
We study a quantum mechanical model proposed by Sachdev, Ye and Kitaev. The model consists of N Majorana fermions with random interactions of a few fermions at a time. It it tractable in the large N limit, where the classical variable is a…
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The Earth’s Energy Budget, Climate Feedbacks and Climate Sensitivity Open
International audience
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Reynolds averaged turbulence modelling using deep neural networks with embedded invariance Open
There exists significant demand for improved Reynolds-averaged Navier–Stokes (RANS) turbulence models that are informed by and can represent a richer set of turbulence physics. This paper presents a method of using deep neural networks to …
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Biorthogonal Bulk-Boundary Correspondence in Non-Hermitian Systems Open
Non-Hermitian systems exhibit striking exceptions from the paradigmatic bulk-boundary correspondence, including the failure of bulk Bloch band invariants in predicting boundary states and the (dis)appearance of boundary states at parameter…
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Towards Robust Monocular Depth Estimation: Mixing Datasets for Zero-shot Cross-dataset Transfer Open
The success of monocular depth estimation relies on large and diverse training sets. Due to the challenges associated with acquiring dense ground-truth depth across different environments at scale, a number of datasets with distinct charac…
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Topological Band Theory for Non-Hermitian Hamiltonians Open
We develop the topological band theory for systems described by non-Hermitian Hamiltonians, whose energy spectra are generally complex. After generalizing the notion of gapped band structures to the non-Hermitian case, we classify "gapped"…
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Safe and just Earth system boundaries Open
The stability and resilience of the Earth system and human well-being are inseparably linked 1–3 , yet their interdependencies are generally under-recognized; consequently, they are often treated independently 4,5 . Here, we use modelling …
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Penalising Model Component Complexity: A Principled, Practical Approach to Constructing Priors Open
In this paper, we introduce a new concept for constructing prior distributions. We exploit the natural nested structure inherent to many model components, which defines the model component to be a flexible extension of a base model. Proper…
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Anomalous Edge State in a Non-Hermitian Lattice Open
We show that the bulk-boundary correspondence for topological insulators can be modified in the presence of non-Hermiticity. We consider a one-dimensional tight-binding model with gain and loss as well as long-range hopping. The system is …
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Conformal symmetry and its breaking in two-dimensional nearly anti-de Sitter space Open
We study a two-dimensional dilaton gravity system, recently examined by Almheiri and Polchinski, which describes near-extremal black holes, or more generally, nearly AdS2 spacetimes. The asymptotic symmetries of AdS2 are all the time repar…
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The Pantheon+ Analysis: Cosmological Constraints Open
We present constraints on cosmological parameters from the Pantheon+ analysis of 1701 light curves of 1550 distinct Type Ia supernovae (SNe Ia) ranging in redshift from z = 0.001 to 2.26. This work features an increased sample size from th…
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Non-Hermitian Chern Bands Open
The relation between chiral edge modes and bulk Chern numbers of quantum Hall insulators is a paradigmatic example of bulk-boundary correspondence. We show that the chiral edge modes are not strictly tied to the Chern numbers defined by a …
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Optimal Transport for Domain Adaptation Open
Domain adaptation is one of the most challenging tasks of modern data analytics. If the adaptation is done correctly, models built on a specific data representation become more robust when confronted to data depicting the same classes, but…
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Dark Energy after GW170817 and GRB170817A Open
The observation of GW170817 and its electromagnetic counterpart implies that gravitational waves travel at the speed of light, with deviations smaller than a few×10^{-15}. We discuss the consequences of this experimental result for models …
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Origin of Magic Angles in Twisted Bilayer Graphene Open
Twisted bilayer graphene (TBG) was recently shown to host superconductivity when tuned to special "magic angles" at which isolated and relatively flat bands appear. However, until now the origin of the magic angles and their irregular patt…
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Natural, incidental, and engineered nanomaterials and their impacts on the Earth system Open
Nanomaterials in the Earth system Nanomaterials have been part of the Earth system for billions of years, but human activities are changing the nature and amounts of these materials. Hochella Jr. et al. review sources and impacts of natura…
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From the Quantum Approximate Optimization Algorithm to a Quantum Alternating Operator Ansatz Open
The next few years will be exciting as prototype universal quantum processors emerge, enabling the implementation of a wider variety of algorithms. Of particular interest are quantum heuristics, which require experimentation on quantum har…
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Wasserstein Distance Guided Representation Learning for Domain Adaptation Open
Domain adaptation aims at generalizing a high-performance learner on a target domain via utilizing the knowledge distilled from a source domain which has a different but related data distribution. One solution to domain adaptation is to le…
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Snowball Earth climate dynamics and Cryogenian geology-geobiology Open
We review recent observations and models concerning the dynamics of Cryogenian global glaciation and their biological consequences.
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Generalized Gibbs ensemble in integrable lattice models Open
The generalized Gibbs ensemble (GGE) was introduced ten years ago to describe observables in isolated integrable quantum systems after equilibration. Since then, the GGE has been demonstrated to be a powerful tool to predict the outcome of…
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Assessing unidimensionality: A comparison of Rasch Modeling, Parallel Analysis, and TETRAD Open
The evaluation of assessment dimensionality is a necessary stage in the gathering of evidence to support the validity of interpretations based on a total score, particularly when assessment development and analysis are conducted within an …
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Quench dynamics and relaxation in isolated integrable quantum spin chains Open
We review the dynamics after quantum quenches in integrable quantum spin chains. We give a pedagogical introduction to relaxation in isolated quantum systems, and discuss the description of the steady state by (generalized) Gibbs ensembles…
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Ultralight and fire-resistant ceramic nanofibrous aerogels with temperature-invariant superelasticity Open
Ultralight and fire-resistant ceramic nanofibrous aerogels with temperature-invariant superelasticity to 1100°C.
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Einstein-Gauss-Bonnet Gravity in Four-Dimensional Spacetime Open
In this Letter we present a general covariant modified theory of gravity in D=4 spacetime dimensions which propagates only the massless graviton and bypasses Lovelock's theorem. The theory we present is formulated in D>4 dimensions and its…
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Spontaneous Scalarization of Black Holes and Compact Stars from a Gauss-Bonnet Coupling Open
We identify a class of scalar-tensor theories with coupling between the scalar and the Gauss-Bonnet invariant that exhibit spontaneous scalarization for both black holes and compact stars. In particular, these theories formally admit all o…
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Non-Hermitian Skin Effect and Chiral Damping in Open Quantum Systems Open
One of the unique features of non-Hermitian Hamiltonians is the non-Hermitian skin effect, namely, that the eigenstates are exponentially localized at the boundary of the system. For open quantum systems, a short-time evolution can often b…
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Contrastive Multiview Coding Open
Humans view the world through many sensory channels, e.g., the long-wavelength light channel, viewed by the left eye, or the high-frequency vibrations channel, heard by the right ear. Each view is noisy and incomplete, but important factor…