Time behaviour near to spectral singularities

Type: Article

Publication Date: 2010-09-28

Citations: 27

DOI: https://doi.org/10.1140/epjd/e2010-00243-0

View Chat PDF

Locations

  • The European Physical Journal D - View
  • arXiv (Cornell University) - View - PDF
  • DataCite API - View

Similar Works

Action Title Year Authors
+ PDF Chat Physics of Spectral Singularities 2015 Alí Mostafazadeh
+ Stability of Space-Time Singularities 1994 Andrés Viña
+ PDF Chat Long-time asymptotics with geometric singularities in the spatial variables 2004 Thomas Krainer
B.-W. Schulze
+ Oscillating singularities of L ́evy processes 2014 Paul Balança
+ PDF Chat Scale-space singularities 1990 Allan D. Jepson
David J. Fleet
+ Spectral Analysis of Singularities 1979 Lars Hörmander
+ Asymptotic Analysis and Singularities 2007
+ Asymptotic Analysis and Singularities 2007
+ Singularity spectrum of generic $\alpha$-Holder regular functions after time subordination 2011 Stéphane Seuret
Zoltán Buczolich
+ PDF Chat Spectral asymptotics and singular perturbations 2007 Colette Anné
+ Behavior of the Coefficients at a Singularity 1997
+ Singularity Spectrum of Generic α-Hölder Regular Functions After Time Subordination 2010 Zoltán Buczolich
Stéphane Seuret
+ Asymptotia, singularities and global structure 1992 Chris Clarke
+ Concepts Related to the Study of Space-Time Singularities 1988 A. R. Prasanna
+ THE CUSP: FROM FINITE TIME SINGULARITIES TO BREAKING WAVES 2018 Patrice Le Gal
+ Behavior of solutions near integral manifolds 1960 Jack K. Hale
Arnold Stokes
+ Asymptotics of solutions at infinity 1997 �. V. Kozlov
Vladimir Maz′ya
+ Singularities and time-asymmetry. 1979 Roger Penrose
+ Boundary behavior of extremal operators 1978 S. S. Kutateladze
+ Behavior of the Coefficients at Infinity 1997

Cited by (22)

Action Title Year Authors
+ PDF Chat On the effect of exceptional points in the Liouvillian dynamics of a 1D quantum Lorentz gas 2016 Kazunari Hashimoto
Kazuki Kanki
Savannah Garmon
Satoshi Tanaka
T. Petrosky
+ PDF Chat Dressed bound states at chiral exceptional points 2023 Yu‐Wei Lu
Haishu Tan
Zeyang Liao
+ PDF Chat Non-divergent representation of a non-Hermitian operator near the exceptional point with application to a quantum Lorentz gas 2015 Kazunari Hashimoto
Kazuki Kanki
Hisao Hayakawa
T. Petrosky
+ PDF Chat Non-Hermitian physics 2020 Yuto Ashida
Zongping Gong
Masahito Ueda
+ PDF Chat On the time evolution at a fluctuating exceptional point 2019 Christian Wolff
Christos Tserkezis
N. Asger Mortensen
+ PDF Chat Spectral singularities and zero energy bound states 2011 W. D. Heiss
R. G. Nazmitdinov
+ PDF Chat Nonorthogonal pairs of copropagating optical modes in deformed microdisk cavities 2011 Jan Wiersig
Alexander Eberspächer
Jeong-Bo Shim
Jung-Wan Ryu
Susumu Shinohara
Martina Hentschel
Henning Schomerus
+ PDF Chat Characteristic dynamics near two coalescing eigenvalues incorporating continuum threshold effects 2017 Savannah Garmon
Gonzalo Ordóñez
+ PDF Chat The physics of exceptional points 2012 W. D. Heiss
+ PDF Chat Non-hermitian topology as a unifying framework for the Andreev versus Majorana states controversy 2019 Jesús Ávila
Fernando Peñaranda
Elsa Prada
Pablo San-José
Ramón Aguado
+ PDF Chat Harmonic inversion analysis of exceptional points in resonance spectra 2014 Jacob Fuchs
Jörg Main
Holger Cartarius
Günter Wunner
+ PDF Chat Wave emission and absorption at spectral singularities 2016 P. Wang
L. Jin
Gang Zhang
Z. Song
+ PDF Chat Signatures of three coalescing eigenfunctions 2011 Gilles Demange
Eva-Maria Graefe
+ PDF Chat Fingerprints of exceptional points in the survival probability of resonances in atomic spectra 2011 Holger Cartarius
Nimrod Moiseyev
+ PDF Chat Robustness of exceptional-point-based sensors against parametric noise: The role of Hamiltonian and Liouvillian degeneracies 2020 Jan Wiersig
+ PDF Chat Fano-Feshbach resonances in two-channel scattering around exceptional points 2014 Walter Dieter Heiss
Günter Wunner
+ PDF Chat <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi mathvariant="script">PT</mml:mi></mml:mrow></mml:math>-symmetric sinusoidal optical lattices at the symmetry-breaking threshold 2011 Eva-Maria Graefe
H. F. Jones
+ PDF Chat Evolution of electric-field-induced quasibound states and resonances in one-dimensional open quantum systems 2016 O. Olendski
+ PDF Chat Non-Hermitian time evolution: From static to parametric instability 2021 Aleksi Bossart
Romain Fleury
+ Some Features of Exceptional Points 2016 W. D. Heiss
+ PDF Chat Parity-time symmetry and coherent perfect absorption in a cooperative atom response 2021 K. E. Ballantine
Janne Ruostekoski
+ Characteristic influence of exceptional points in quantum dynamics 2021 Savannah Garmon
Takafumi Sawada
Ken-ichi Noba
Gonzalo Ordóñez

Citing (16)

Action Title Year Authors
+ Geometric phase around exceptional points (4 pages) 2005 Alexander P. Seyranian
Alexei A. Mailybaev
Oleg N. Kirillov
+ PDF Chat Asymmetric scattering and nonorthogonal mode patterns in optical microspirals 2008 Jan Wiersig
Sang Wook Kim
Martina Hentschel
+ PDF Chat Repulsion of resonance states and exceptional points 2000 W. D. Heiss
+ PDF Chat Observation of an Exceptional Point in a Chaotic Optical Microcavity 2009 Sang-Bum Lee
Juhee Yang
Songky Moon
Soo-Young Lee
Jeong-Bo Shim
Sang Wook Kim
Jai-Hyung Lee
Kyungwon An
+ PDF Chat Spectral properties of Bunimovich mushroom billiards 2007 Barbara Dietz
Thomas Friedrich
M. Miski-Oglu
A. Richter
F. Schäfer
+ PDF Chat Geometric phase around exceptional points 2005 Alexei A. Mailybaev
Oleg N. Kirillov
Alexander P. Seyranian
+ PDF Chat Coulomb Analogy for Non-Hermitian Degeneracies near Quantum Phase Transitions 2007 Pavel Cejnar
Stefan Heinze
Michal Macek
+ PDF Chat A return to observability near exceptional points in a schematic <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="script">PT</mml:mi></mml:math>-symmetric model 2007 Miloslav Znojil
+ PDF Chat Encircling an exceptional point 2004 C. Dembowski
Barbara Dietz
H.-D. Gräf
H. L. Harney
A. Heine
W. D. Heiss
A. Richter
+ Exceptional points in the scattering continuum 2009 J. Okołowicz
M. Płoszajczak
+ The large<i>N</i>behaviour of the Lipkin model and exceptional points 2005 W. D. Heiss
F. G. Scholtz
H. B. Geyer
+ Exceptional points in the spectra of atoms in external fields 2009 Holger Cartarius
Jörg Main
Günter Wunner
+ PDF Chat Rabi oscillations at exceptional points in microwave billiards 2007 Barbara Dietz
Thomas Friedrich
Jan Metz
M. Miski-Oglu
A. Richter
F. Schäfer
Charles Stafford
+ PDF Chat Resonance scattering and singularities of the scattering function 2010 W. D. Heiss
R. G. Nazmitdinov
+ PDF Chat Phases of wave functions and level repulsion 1999 W. D. Heiss
+ PDF Chat Projective Hilbert space structures at exceptional points 2007 Uwe Günther
I. Rotter
B. F. Samsonov