Möbius mirrors

Michael R.R. Good; Eric V. Linder

doi:10.1088/1361-6382/ac60c3

Möbius mirrors

Michael R.R. Good, Eric V. Linder

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

An accelerating boundary (mirror) acts as a horizon and black hole analog, radiating energy with some particle spectrum. We demonstrate that a Möbius transformation on the null coordinate advanced time mirror trajectory uniquely keeps invariant not only the energy flux but the particle spectrum. We clarify how the geometric entanglement entropy is also invariant. The transform allows generation of families of dynamically distinct trajectories, including PT -symmetric ones, mapping from the eternally thermal mirror to the de Sitter horizon, and different boundary motions corresponding to Kerr or Schwarzschild black holes.

Original language	English
Article number	105003
Journal	Classical and Quantum Gravity
Volume	39
Issue number	10
DOIs	https://doi.org/10.1088/1361-6382/ac60c3
Publication status	Published - May 19 2022

Keywords

dynamical Casimir effect
Hawking radiation
moving mirrors

ASJC Scopus subject areas

Physics and Astronomy (miscellaneous)

Access to Document

10.1088/1361-6382/ac60c3

Cite this

@article{41aac1169fe5477ebc331c12ccc19157,

title = "M{\"o}bius mirrors",

abstract = "An accelerating boundary (mirror) acts as a horizon and black hole analog, radiating energy with some particle spectrum. We demonstrate that a M{\"o}bius transformation on the null coordinate advanced time mirror trajectory uniquely keeps invariant not only the energy flux but the particle spectrum. We clarify how the geometric entanglement entropy is also invariant. The transform allows generation of families of dynamically distinct trajectories, including PT -symmetric ones, mapping from the eternally thermal mirror to the de Sitter horizon, and different boundary motions corresponding to Kerr or Schwarzschild black holes.",

keywords = "dynamical Casimir effect, Hawking radiation, moving mirrors",

author = "Good, {Michael R.R.} and Linder, {Eric V.}",

note = "Publisher Copyright: {\textcopyright} 2022 IOP Publishing Ltd.",

year = "2022",

month = may,

day = "19",

doi = "10.1088/1361-6382/ac60c3",

language = "English",

volume = "39",

journal = "Classical and Quantum Gravity",

issn = "0264-9381",

publisher = "IOP Publishing Ltd.",

number = "10",

}

TY - JOUR

T1 - Möbius mirrors

AU - Good, Michael R.R.

AU - Linder, Eric V.

PY - 2022/5/19

Y1 - 2022/5/19

N2 - An accelerating boundary (mirror) acts as a horizon and black hole analog, radiating energy with some particle spectrum. We demonstrate that a Möbius transformation on the null coordinate advanced time mirror trajectory uniquely keeps invariant not only the energy flux but the particle spectrum. We clarify how the geometric entanglement entropy is also invariant. The transform allows generation of families of dynamically distinct trajectories, including PT -symmetric ones, mapping from the eternally thermal mirror to the de Sitter horizon, and different boundary motions corresponding to Kerr or Schwarzschild black holes.

AB - An accelerating boundary (mirror) acts as a horizon and black hole analog, radiating energy with some particle spectrum. We demonstrate that a Möbius transformation on the null coordinate advanced time mirror trajectory uniquely keeps invariant not only the energy flux but the particle spectrum. We clarify how the geometric entanglement entropy is also invariant. The transform allows generation of families of dynamically distinct trajectories, including PT -symmetric ones, mapping from the eternally thermal mirror to the de Sitter horizon, and different boundary motions corresponding to Kerr or Schwarzschild black holes.

KW - dynamical Casimir effect

KW - Hawking radiation

KW - moving mirrors

UR - http://www.scopus.com/inward/record.url?scp=85130745865&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85130745865&partnerID=8YFLogxK

U2 - 10.1088/1361-6382/ac60c3

DO - 10.1088/1361-6382/ac60c3

M3 - Article

AN - SCOPUS:85130745865

SN - 0264-9381

VL - 39

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

IS - 10

M1 - 105003

ER -

Möbius mirrors

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this