Ion traps and the memory effect for periodic gravitational waves

Zhang, P.-M.; Cariglia, Marco; Duval, Christian; Elbistan, Mahmut; Gibbons, G. W.; Horváthy, P. A.

doi:10.1103/physrevd.98.044037

Cited by 21 publications

(24 citation statements)

References 50 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…results of Ref. [77,78]); this is evident as far as the transverse directions are considered because then the Lorentz equations (in the light-cone coordinates) coincide, up to a constant, with the geodesic equations, see e.g. [76].…”

Section: Discussionmentioning

confidence: 81%

Niederer’s transformation, time-dependent oscillators and polarized gravitational waves

Andrzejewski

Prencel

2019

Class. Quantum Grav.

View full text Add to dashboard Cite

It is noted that the Niederer transformation can be used to find the explicit relation between time-dependent linear oscillators, including the most interesting case when one of them is harmonic. A geometric interpretation of this correspondence is provided by certain subclasses of pp-waves; in particular the ones strictly related to the proper conformal transformations. This observation allows us to show that the pulses of plane gravitational wave exhibiting the maximal conformal symmetry are analytically solvable. Particularly interesting is the circularly polarized family for which some aspects (such as the classical cross section, velocity memory effect and impulsive limit) are discussed in more detail. The role of the additional integrals of motion, associated with the conformal generators, is clarified by means of Ermakov-Lewis invariants. Possible applications to the description of interaction of electromagnetic beams with matter are also indicated.

show abstract

Section: Discussionmentioning

confidence: 81%

Niederer’s transformation, time-dependent oscillators and polarized gravitational waves

Andrzejewski

Prencel

2019

Class. Quantum Grav.

View full text Add to dashboard Cite

show abstract

“…[33] (which seem to be of some importance for singular optics and trapping problems, i.e. the confinement mechanism of particles by electromagnetic or gravitational fields, see [34,35] for the electromagnetic case and [36,37,38] for its gravitational counterpart). It is also worth to notice that for the electromagnetic fields under consideration the Dirac delta limit of the profile can be easily performed.…”

Section: Introductionmentioning

confidence: 99%

From polarized gravitational waves to analytically solvable electromagnetic beams

Andrzejewski

Prencel

2019

Phys. Rev. D

View full text Add to dashboard Cite

Using the correspondence between solutions of gravitational and gauge theories (the so-called classical double copy conjecture) some electromagnetic fields with vortices are constructed, for which the Lorentz force equations are analytically solvable. The starting point is a certain class of plane gravitational waves exhibiting the conformal symmetry. The notion of the Niederer transformation, crucial for the solvability, is analysed in the case of the Lorentz force equation on the curved spacetimes as well as its derivation by means of integrals of motion (associated with conformal generators preserving these vortices) is presented. Furthermore, some models discussed recently in the context of the intense laser beams are constructed from their gravitational counterparts, with the special emphasis put on the focusing property, and new solvable examples are presented.

show abstract

“…The important, and very general, rôle of gravitational plane waves in encoding memory is discussed in some detail. Closely related work on geodesics and gravitational plane waves, including memory effects, may be found in [8,[16][17][18][19][20][21][22][23][24][25][26]) .…”

mentioning

confidence: 98%

Memory, Penrose limits and the geometry of gravitational shockwaves and gyratons

Shore

2018

J. High Energ. Phys.

View full text Add to dashboard Cite

The geometric description of gravitational memory for strong gravitational waves is developed, with particular focus on shockwaves and their spinning analogues, gyratons. Memory, which may be of position or velocity-encoded type, characterises the residual separation of neighbouring 'detector' geodesics following the passage of a gravitational wave burst, and retains information on the nature of the wave source. Here, it is shown how memory is encoded in the Penrose limit of the original gravitational wave spacetime and a new 'timelike Penrose limit' is introduced to complement the original plane wave limit appropriate to null congruences. A detailed analysis of memory is presented for timelike and null geodesic congruences in impulsive and extended gravitational shockwaves of Aichelburg-Sexl type, and for gyratons. Potential applications to gravitational wave astronomy and to quantum gravity, especially infra-red structure and ultra-high energy scattering, are briefly mentioned.

show abstract

Ion traps and the memory effect for periodic gravitational waves

Cited by 21 publications

References 50 publications

Niederer’s transformation, time-dependent oscillators and polarized gravitational waves

Niederer’s transformation, time-dependent oscillators and polarized gravitational waves

From polarized gravitational waves to analytically solvable electromagnetic beams

Memory, Penrose limits and the geometry of gravitational shockwaves and gyratons

Contact Info

Product

Resources

About