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In this work we derive novel ultrafast shortcuts for adiabatic rapid passage for a qubit where the only control variable is the longitudinal $z$-field, while the transverse $x$-field remains constant. This restrictive framework is pertinent…

Quantum Physics · Physics 2019-07-24 Dionisis Stefanatos , Emmanuel Paspalakis

The increasing number and variety of extrasolar planets illustrates the importance of characterizing planetary perturbations. Planetary orbits are typically described by physically intuitive orbital elements. Here, we explicitly express the…

Earth and Planetary Astrophysics · Physics 2015-06-11 Dimitri Veras , N. Wyn Evans

We study eccentric orbits of the Schwarzschild spacetime for extreme mass ratio system (EMRI) in modified gravity theories with additional scalar fields. Due to the additional energy and angular momentum carried away by the scalar field,…

General Relativity and Quantum Cosmology · Physics 2023-07-05 Chao Zhang , Yungui Gong , Dicong Liang , Bin Wang

Accelerating Magnetic Resonance Imaging (MRI) by taking fewer measurements has the potential to reduce medical costs, minimize stress to patients and make MRI possible in applications where it is currently prohibitively slow or expensive.…

For appropriately chosen weights, temporal averages in chaotic systems can be approximated as a weighted sum of averages over reference states, such as unstable periodic orbits. Under strict assumptions, such as completeness of the orbit…

Dynamical Systems · Mathematics 2025-06-23 Joshua L. Pughe-Sanford , Sam Quinn , Teodor Balabanski , Roman O. Grigoriev

Extreme mass-ratio inspirals (EMRIs) are binary systems where a compact object slowly inspirals into its much larger compact partner. Since we anticipate such systems to exist within and be dynamically influenced by the galactic center…

General Relativity and Quantum Cosmology · Physics 2025-08-12 Makana Silva , Harrison G. Blake-Goszyk , Christopher M. Hirata

A number of open problems hinder our present ability to extract scientific information from data that will be gathered by the near-future gravitational-wave mission LISA. Many of these relate to the modeling, detection and characterization…

Instrumentation and Methods for Astrophysics · Physics 2020-02-17 Alvin J. K. Chua , Natalia Korsakova , Christopher J. Moore , Jonathan R. Gair , Stanislav Babak

The gravitational-wave signals emitted by Extreme-Mass-Ratio Inspirals will be hidden in the instrumental LISA noise and the foreground noise produced by galactic binaries in the LISA band. Then, we need accurate gravitational-wave…

General Relativity and Quantum Cosmology · Physics 2010-10-01 Priscilla Canizares , Carlos F. Sopuerta

Gravitational wave astronomy typically relies on rigorous, computationally expensive Bayesian analyses. Several methods have been developed to perform rapid Bayesian inference, but they are not yet used to inform our full analyses. We…

General Relativity and Quantum Cosmology · Physics 2026-01-30 Metha Prathaban , Charlie Hoy , Michael J. Williams

To investigate the imprint on the gravitational-wave emission from extreme mass-ratio inspirals in non-pure Kerr spacetimes, we have studied the ``kludge'' waveforms generated in highly-accurate, numerically-generated spacetimes containing…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Enrico Barausse , Luciano Rezzolla , David Petroff , Marcus Ansorg

The post-Newtonian approximation is useful to discuss gravitational waveforms for binary inspirals. In this note, for retrograde circular orbits in the equatorial plane, we discuss the region of validity of the post-Newtonian approximation…

General Relativity and Quantum Cosmology · Physics 2017-12-22 Ryuichi Fujita , Norichika Sago , Hiroyuki Nakano

Magnetic resonance imaging (MRI) is one of the noninvasive imaging modalities that can produce high-quality images. However, the scan procedure is relatively slow, which causes patient discomfort and motion artifacts in images. Accelerating…

Image and Video Processing · Electrical Eng. & Systems 2023-01-18 Samira Vafay Eslahi , Jian Tao , Jim Ji

We examine extreme mass-ratio inspirals (EMRIs) as probes of beyond-vacuum general relativistic effects, accounting for both astrophysical environments and scalar Gauss-Bonnet (sGB) gravity. In beyond-vacuum scenarios, the evolution of an…

General Relativity and Quantum Cosmology · Physics 2026-01-08 Tieguang Zi , Mostafizur Rahman , Shailesh Kumar

We present straightforward proofs of estimates used in the adiabatic approximation. The gap dependence is analyzed explicitly. We apply the result to interpolating Hamiltonians of interest in quantum computing.

Quantum Physics · Physics 2007-11-08 Sabine Jansen , Mary-Beth Ruskai , Ruedi Seiler

Extreme-mass-ratio inspirals (EMRIs) will be key sources for LISA. However, accurately extracting system parameters from a detected EMRI waveform will require self-force calculations at second order in perturbation theory, which are still…

General Relativity and Quantum Cosmology · Physics 2021-06-08 Samuel D. Upton , Adam Pound

We present a new method for extracting the instantaneous orbital axis only from gravitational wave strains of precessing binary systems observed from a particular observer direction. This method enables us to reconstruct the co-precessing…

General Relativity and Quantum Cosmology · Physics 2018-02-20 Kyohei Kawaguchi , Koutarou Kyutoku , Hiroyuki Nakano , Masaru Shibata

Synchrotron emissivities, absorptivities, and Faraday rotation and conversion coefficients are needed in modeling a variety of astrophysical sources, including Event Horizon Telescope (EHT) sources. We develop a method for estimating…

High Energy Astrophysical Phenomena · Physics 2024-05-24 Monika Moscibrodzka , Charles F. Gammie

We present the main aspects of the adiabatic theory and show that it can be used to study the motion of test particles in general relativity. The theory is based upon the use of vector elements of the orbits and adiabatic invariants. To…

We investigate the adiabatic elimination of fast variables in relativistic stochastic mechanics, which is analyzed by using the equation of motion and the distribution function, with relativistic corrections explicitly derived. A new…

Statistical Mechanics · Physics 2026-02-24 Tao Wang , Yu Shi

The detection of Extreme Mass Ratio Inspirals (EMRIs) is intricate due to their complex waveforms, extended duration, and low signal-to-noise ratio (SNR), making them more challenging to be identified compared to compact binary…

Instrumentation and Methods for Astrophysics · Physics 2024-05-15 Tianyu Zhao , Yue Zhou , Ruijun Shi , Zhoujian Cao , Zhixiang Ren