85 citations · 139 across the 17 of their papers we have counts for
19 papers
Approximate Invariant Analysis: An Efficient Framework for Nonlinear Beam Dynamics, Part I: Geometric Approaches of the Poincaré Rotation Number
Yongjun Li, Sergei Nagaitsev, Derong Xu +2
We present the first part of an efficient framework for nonlinear beam dynamics, termed Approximate Invariant Analysis (AIA). The framework is based on the construction of approxim…
Integrable symplectic maps with a polygon tessellation
Timofey Zolkin, Yaroslav Kharkov, Sergei Nagaitsev
The identification of integrable dynamics remains a formidable challenge, and despite centuries of research, only a handful of examples are known to date. In this article, we explo…
Improved Measurements of Nonlinear Integrable Optics Invariants at IOTA
J. N. Wieland, A. L. Romanov, A. Valishev +5
Nonlinear integrable optics (NIO) are a promising novel approach at improving the stability of high intensity beams. Implementations of NIO based on specialized magnetic elements a…
McMillan map and nonlinear Twiss parameters
Timofey Zolkin, Sergei Nagaitsev, Ivan Morozov
In this article we consider two dynamical systems: the McMillan sextupole and octupole integrable mappings originally introduced by Edwin McMillan; the second one is also known as…
Beam Test Facilities for R&D in Accelerator Science and Technologies
John Power, Christine Clarke, Michael Downer +14
This is the Snowmass Whitepaper on Beam Test Facilities for R&D in Accelerator Science and Technologies and it is submitted to two topical groups in the Accelerator Frontier: AF1 a…
Ion Coulomb Crystals in Storage Rings for Quantum Information Science
S. Brooks, K. Brown, F. Méot +29
Quantum information science is a growing field that promises to take computing into a new age of higher performance and larger scale computing as well as being capable of solving p…
Extracting Dynamical Frequencies from Invariants of Motion in Finite-Dimensional Nonlinear Integrable Systems
Chad E. Mitchell, Robert D. Ryne, Kilean Hwang +2
Integrable dynamical systems play an important role in many areas of science, including accelerator and plasma physics. An integrable dynamical system with degrees of freedom (…
Betatron frequency and the Poincare rotation number
Sergei Nagaitsev, Timofey Zolkin
Symplectic maps are routinely used to describe single-particle dynamics in circular accelerators. In the case of a linear accelerator map, the rotation number (the betatron frequen…
Rotation number of integrable symplectic mappings of the plane
Timofey Zolkin, Sergei Nagaitsev, Viatcheslav Danilov
Symplectic mappings are discrete-time analogs of Hamiltonian systems. They appear in many areas of physics, including, for example, accelerators, plasma, and fluids. Integrable map…
Single-Particle Dynamics in a Nonlinear Accelerator Lattice: Attaining a Large Tune Spread with Octupoles in IOTA
Sergey A. Antipov, Sergei Nagaitsev, Alexander Valishev
Fermilab is constructing the Integrable Optics Test Accelerator (IOTA) as the centerpiece of the Accelerator R&D Program towards high-intensity circular machines. One of the factor…
Electron lenses and cooling for the Fermilab Integrable Optics Test Accelerator
G. Stancari, A. Burov, V. Lebedev +3
Recently, the study of integrable Hamiltonian systems has led to nonlinear accelerator lattices with one or two transverse invariants and wide stable tune spreads. These lattices m…
Chromatic and Dispersive Effects in Nonlinear Integrable Optics
Stephen D. Webb, David L. Bruhwiler, Alexander Valishev +2
Proton accumulator rings and other circular hadron accelerators are susceptible to intensity-driven parametric instabilities because the zero-current charged particle dynamics are…
Accelerator-Feasible N-Body Nonlinear Integrable System
V. Danilov, S. Nagaitsev
Nonlinear N-body integrable Hamiltonian systems, where N is an arbitrary number, attract the attention of mathematical physicists for the last several decades, following the discov…
On Quantum Integrable Systems
S. Nagaitsev, V. Danilov
Many quantum integrable systems are obtained using an accelerator physics technique known as Ermakov (or normalized variables) transformation. This technique was used to create cla…
A search for integrable four-dimensional nonlinear accelerator lattices
S. Nagaitsev, V. Danilov
Integrable nonlinear motion in accelerators has the potential to introduce a large betatron tune spread to suppress instabilities and to mitigate the effects of space charge and ma…
Effects of Nonlinear Decoherence on Halo Formation
Stephen D. Webb, David L. Bruhwiler, Dan T. Abell +6
High intensity proton linacs and storage rings are central for the development of advanced neutron sources, extending the intensity frontier in high energy physics, as drivers for…
Nonlinear Integrable Ion Traps
S. Nagaitsev, V. Danilov
Quadrupole ion traps can be transformed into nonlinear traps with integrable motion by adding special electrostatic potentials. This can be done with both stationary potentials (el…
On Quantum Integrable Systems
Viatcheslav Danilov, Sergei Nagaitsev
Many quantum integrable systems are obtained using an accelerator physics technique known as Ermakov (or normalized variables) transformation. This technique was used to create cla…
Nonlinear Accelerator Lattices with One and Two Analytic Invariants
V. Danilov, S. Nagaitsev
Integrable systems appeared in physics long ago at the onset of classical dynamics with examples being Kepler's and other famous problems. Unfortunately, the majority of nonlinear…