Paul J. Steinhardt
Princeton University
H-index: 139
North America-United States
Description
Paul J. Steinhardt, With an exceptional h-index of 139 and a recent h-index of 67 (since 2020), a distinguished researcher at Princeton University,
His recent articles reflect a diverse array of research interests and contributions to the field:
A systematic comparison of slow contraction and inflation as mechanisms for solving the homogeneity, isotropy and flatness problems
Stealthy and hyperuniform isotropic photonic bandgap structure in 3D
Stealthy hyperuniform systems in increasing spatial dimensions and their connections to hard sphere problems
Smoothing and flattening the universe through slow contraction versus inflation
Stable Vacua with Realistic Phenomenology and Cosmology in Heterotic M-theory Satisfying Swampland Conjectures
Ordered and disordered stealthy hyperuniform point patterns across spatial dimensions
Narrow-band frequency filters and splitters, photonic sensors, and cavities having pre-selected cavity modes
Initial conditions problem in cosmological inflation revisited
Professor Information
University | Princeton University |
---|---|
Position | Professor of Physics |
Citations(all) | 102209 |
Citations(since 2020) | 24980 |
Cited By | 84643 |
hIndex(all) | 139 |
hIndex(since 2020) | 67 |
i10Index(all) | 379 |
i10Index(since 2020) | 245 |
University Profile Page | Princeton University |
Top articles of Paul J. Steinhardt
A systematic comparison of slow contraction and inflation as mechanisms for solving the homogeneity, isotropy and flatness problems
In a systematic study, we use an equivalent pair of improved numerical relativity codes based on a tetrad-formulation of the classical Einstein-scalar field equations to examine whether slow contraction or inflation (or both) can resolve the homogeneity, isotropy and flatness problems. Our finding, based on a set of gauge/frame invariant diagnostics, is that slow contraction robustly and rapidly smooths and flattens spacetime beginning from initial conditions that are outside the perturbative regime of the flat Friedmann-Robertson-Walker metric, whereas inflation fails these tests. We present new numerical evidence supporting the conjecture that the combination of ultralocal evolution and an effective equation-of-state with pressure much greater than energy density is the key to having robust and rapid smoothing. The opposite of ultralocality occurs in expanding spacetimes, which is the leading obstruction to smoothing following a big bang.
Authors
Anna Ijjas,Paul J Steinhardt,David Garfinkle,William G Cook
Journal
arXiv preprint arXiv:2404.00867
Published Date
2024/4/1
Stealthy and hyperuniform isotropic photonic bandgap structure in 3D
In photonic crystals the propagation of light is governed by their photonic band structure, an ensemble of propagating states grouped into bands, separated by photonic band gaps. Due to discrete symmetries in spatially strictly periodic dielectric structures their photonic band structure is intrinsically anisotropic. However, for many applications, such as manufacturing artificial structural color materials or developing photonic computing devices, but also for the fundamental understanding of light-matter interactions, it is of major interest to seek materials with long range non-periodic dielectric structures which allow the formation of {\it isotropic} photonic band gaps. Here, we report the first ever 3D isotropic photonic band gap for an optimized disordered stealthy hyperuniform structure for microwaves. The transmission spectra are directly compared to a diamond pattern and an amorphous structure with similar node density. The band structure is measured experimentally for all three microwave structures, manufactured by 3D-Laser-printing for meta-materials with refractive index up to . Results agree well with finite-difference-time-domain numerical investigations and a priori calculations of the band-gap for the hyperuniform structure: the diamond structure shows gaps but being anisotropic as expected, the stealthy hyperuniform pattern shows an isotropic gap of very similar magnitude, while the amorphous structure does not show a gap at all. The centimeter scaled microwave structures may serve as prototypes for micrometer scaled structures with bandgaps in the technologically very interesting region of infrared (IR).
Authors
Lukas Siedentop,Gianluc Lui,Georg Maret,Paul M Chaikin,Paul J Steinhardt,Salvatore Torquato,Peter Keim,Marian Florescu
Journal
arXiv preprint arXiv:2403.08404
Published Date
2024/3/13
Stealthy hyperuniform systems in increasing spatial dimensions and their connections to hard sphere problems
N34. 00005: Stealthy hyperuniform systems in increasing spatial dimensions and their connections to hard sphere problems
Authors
Peter Morse,Paul Steinhardt,Salvatore Torquato
Journal
Bulletin of the American Physical Society
Published Date
2024/3/6
Smoothing and flattening the universe through slow contraction versus inflation
In a systematic study, we use an equivalent pair of improved numerical relativity codes based on a tetrad-formulation of the classical Einstein-scalar field equations to examine whether slow contraction or inflation (or both) can resolve the homogeneity, isotropy and flatness problems. Our finding, based on a set of gauge/frame invariant diagnostics, is that slow contraction robustly and rapidly smooths and flattens spacetime beginning from initial conditions that are outside the perturbative regime of the flat Friedmann-Robertson-Walker metric, whereas inflation fails these tests. We present new numerical evidence supporting the conjecture that the combination of ultralocal evolution and an effective equation-of-state with pressure much greater than energy density is the key to having robust and rapid smoothing. The opposite of ultralocality occurs in expanding spacetimes, which is the leading obstruction to smoothing …
Authors
Anna Ijjas,Paul J Steinhardt,David Garfinkle,William G Cook
Journal
arXiv e-prints
Published Date
2024/3
Stable Vacua with Realistic Phenomenology and Cosmology in Heterotic M-theory Satisfying Swampland Conjectures
We recently described a protocol for computing the potential energy in heterotic M-theory for the dilaton, complex structure and K\"ahler moduli. This included the leading order non-perturbative contributions to the complex structure, gaugino condensation and worldsheet instantons assuming a hidden sector that contains an anomalous U(1) structure group embedded in . In this paper, we elucidate, in detail, the mathematical and computational methods required to utilize this protocol. These methods are then applied to a realistic heterotic M-theory model, the MSSM, whose observable sector is consistent with all particle physics requirements. Within this context, it is shown that the dilaton and universal moduli can be completely stabilized at values compatible with every phenomenological and mathematical constraint -- as well as with CDM cosmology. We also show that the heterotic M-theory vacua are consistent with all well-supported Swampland conjectures based on considerations of string theory and quantum gravity, and we discuss the implications of dark energy theorems for compactified theories.
Authors
Cédric Deffayet,Burt A Ovrut,Paul J Steinhardt
Journal
arXiv preprint arXiv:2401.04828
Published Date
2024/1/9
Ordered and disordered stealthy hyperuniform point patterns across spatial dimensions
In previous work [Phys. Rev. X 5, 021020 (2015)], it was shown that stealthy hyperuniform systems can be regarded as hard spheres in Fourier-space in the sense that the the structure factor is exactly zero in a spherical region around the origin in analogy with the pair-correlation function of real-space hard spheres. In this work, we exploit this correspondence to confirm that the densest Fourier-space hard-sphere system is that of a Bravais lattice. This is in contrast to real-space hard-spheres, whose densest configuration is conjectured to be disordered. We also extend the virial series previously suggested for disordered stealthy hyperuniform systems to higher dimensions in order to predict spatial decorrelation as function of dimension. This prediction is then borne out by numerical simulations of disordered stealthy hyperuniform ground states in dimensions -.
Authors
Peter K Morse,Paul J Steinhardt,Salvatore Torquato
Journal
arXiv preprint arXiv:2404.16819
Published Date
2024/4/25
Narrow-band frequency filters and splitters, photonic sensors, and cavities having pre-selected cavity modes
Waveguides and electromagnetic cavities fabricated in hyperuniform disordered materials with complete photonic bandgaps are provided. Devices comprising electromagnetic cavities fabricated in hyperuniform disordered materials with complete photonic bandgaps are provided. Devices comprising waveguides fabricated in hyperuniform disordered materials with complete photonic bandgaps are provided. The devices include electromagnetic splitters, filters, and sensors.
Published Date
2023/12/26
Initial conditions problem in cosmological inflation revisited
We present first results from a novel numerical relativity code based on a tetrad formulation of the Einstein-scalar field equations combined with recently introduced gauge/frame invariant diagnostics. The results provide support for the argument that inflation does not solve the homogeneity and isotropy problem beginning from generic initial conditions following a big bang.
Authors
David Garfinkle,Anna Ijjas,Paul J Steinhardt
Journal
Physics Letters B
Published Date
2023/8/10
Professor FAQs
What is Paul J. Steinhardt's h-index at Princeton University?
The h-index of Paul J. Steinhardt has been 67 since 2020 and 139 in total.
What are Paul J. Steinhardt's top articles?
The articles with the titles of
A systematic comparison of slow contraction and inflation as mechanisms for solving the homogeneity, isotropy and flatness problems
Stealthy and hyperuniform isotropic photonic bandgap structure in 3D
Stealthy hyperuniform systems in increasing spatial dimensions and their connections to hard sphere problems
Smoothing and flattening the universe through slow contraction versus inflation
Stable Vacua with Realistic Phenomenology and Cosmology in Heterotic M-theory Satisfying Swampland Conjectures
Ordered and disordered stealthy hyperuniform point patterns across spatial dimensions
Narrow-band frequency filters and splitters, photonic sensors, and cavities having pre-selected cavity modes
Initial conditions problem in cosmological inflation revisited
...
are the top articles of Paul J. Steinhardt at Princeton University.
What is Paul J. Steinhardt's total number of citations?
Paul J. Steinhardt has 102,209 citations in total.