Publications
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Complex-path prediction of resonance-assisted tunneling in
mixed systems
F. Fritzsch, A. Bäcker, R. Ketzmerick, and N. Mertig
[arXiv:1609.09276 [nlin.CD]]
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What is the mechanism of power-law distributed Poincaré recurrences in higher-dimensional systems?
S. Lange, A. Bäcker, and R. Ketzmerick
EPL 116, 30002 (2016), 6 pages, editor's choice.
[arXiv:1609.07977 [nlin.CD]]
Videos
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Perturbation-free prediction of resonance-assisted tunneling
in mixed regular--chaotic systems
N. Mertig, J. Kullig, C. Löbner, A. Bäcker, and R. Ketzmerick
[arXiv:1607.06477 [nlin.CD]]
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Homoclinic points of 2-D and 4-D maps via the parametrization method
S. Anastassiou, T. Bountis, and A. Bäcker
[arXiv:1605.05521 [nlin.DS]]
Videos
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Bifurcations of families of 1D-tori in 4D symplectic maps
F. Onken, S. Lange, R. Ketzmerick, and A. Bäcker
Chaos 26, 063124 (2016), 14 pages
[arXiv:1602.04658 [nlin.CD]]
Videos
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Entanglement and localization transitions in eigenstates of
interacting chaotic systems
A. Lakshminarayan, S. C. L. Srivastava, R. Ketzmerick,
A. Bäcker, and S. Tomsovic
Phys. Rev. E 94, 010205(R) (2016), 5 pages
[arXiv:1601.07061 [quant-ph]]
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Universal scaling of spectral fluctuation transitions for interacting chaotic systems
S. C. L. Srivastava, S. Tomsovic, A. Lakshminarayan, R. Ketzmerick,
and A. Bäcker
Phys. Rev. Lett. 116, 054101 (2016), 6 pages
[arXiv:1509.02329 [nlin.CD]]
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Localization of Chaotic Resonance States due to a Partial
Transport Barrier
M. J. Körber, A. Bäcker, and R. Ketzmerick
Phys. Rev. Lett. 115, 254101 (2015), 6 pages
[
arXiv:1509.00665 [nlin.CD]]
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Experimental observation of resonance-assisted tunneling
S. Gehler, S. Löck, S. Shinohara,
A. Bäcker, R. Ketzmerick , U. Kuhl,
and H.-J. Stöckmann
Phys. Rev. Lett. 115, 104101 (2015), 5 pages
[
arXiv:1502.04263 [cond-mat]]
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Integrable approximation of regular regions with a nonlinear resonance chain
J. Kullig, C. Löbner, N. Mertig, A. Bäcker, and R. Ketzmerick
Phys. Rev. E 90, 052906 (2014), 9 pages
[arXiv:1407.2513 [nlin.CD]]
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Temporal flooding of regular islands by chaotic wave packets
L. Bittrich, A. Bäcker, and R. Ketzmerick
Phys. Rev. E 89, 032922 (2014), 11 pages
[arXiv:1401.5923 [nlin.CD]]
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Global structure of regular tori in a generic 4D symplectic map
S. Lange, M. Richter, F. Onken, A. Bäcker, and R. Ketzmerick
Chaos 24, 024409 (2014), 11 pages
[arXiv:1311.7632 [nlin.CD]]
Videos
Editor's pick, Featured article, and Cover image (pdf), Chaos, June 2014, volume 24, number 2.
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Integrable Approximation of Regular Islands:
The Iterative Canonical Transformation Method
C. Löbner, S. Löck, A. Bäcker, and R. Ketzmerick
Phys. Rev. E 88, 062901 (2013), 12 pages
[arXiv:1308.1561 [nlin.CD]]
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Visualization and comparison of classical structures and
quantum states of 4D maps
M. Richter, S. Lange, A. Bäcker, and R. Ketzmerick
Phys. Rev. E 89, 022902 (2014), 12 pages
[arXiv:1307.6109 [nlin.CD]]
Videos
Covered as
Kaleidoscope image February 2014
Doc: You're just not thinking fourth dimensionally!
Marty: Right, right. I have a real problem with that.
(Quote from Back to the Future Part III).
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Hierarchical Fractal Weyl Laws for Chaotic Resonance States in Open Mixed Systems
M. J. Körber, M. Michler, A. Bäcker, and R. Ketzmerick
Phys. Rev. Lett. 111, 114102 (2013), 5 pages
[arXiv:1304.2662 [nlin.CD]]
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Quantum ergodicity and beyond. With a gallery of pictures.
N. Anantharaman and A. Bäcker
IAMP News Bulletin, April 2013, 10-28 (pdf)
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Complex paths for regular-to-chaotic tunneling rates
N. Mertig, S. Löck, A. Bäcker, R. Ketzmerick, and A. Shudo
Europhys. Lett. 102 10005 (2013), 6 pages
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Universal Quantum Localizing Transition of a Partial Barrier in a Chaotic Sea
M. Michler, A. Bäcker, R. Ketzmerick, H.-J. Stöckmann, and S. Tomsovic
Phys. Rev. Lett. 109, 234101 (2012), 5 pages
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Consequences of Flooding on Spectral Statistics
T. Rudolf, N. Mertig, S. Löck, and A. Bäcker
Phys. Rev. E 85, 036213 (2012), 8 pages
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Coupling of bouncing-ball modes to the chaotic sea and their counting function
S. Löck, A. Bäcker, and R. Ketzmerick
Phys. Rev. E 85, 016210 (2012), 9 pages
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Partial Weyl Law for Billiards
A. Bäcker, R. Ketzmerick, S. Löck, and H. Schanz
Europhys. Lett. 94 30004 (2011), 5 pages
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Fractional Power-Law Level-Statistics due to Dynamical Tunneling
A. Bäcker, R. Ketzmerick, S. Löck, and N. Mertig
Phys. Rev. Lett. 106, 024101 (2011), 4 pages
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Direct regular-to-chaotic tunneling rates using the fictitious integrable system approach
A. Bäcker, R. Ketzmerick, and S. Löck
Phys. Rev. E 82, 056208 (2010), 24 pages
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Regular-to-Chaotic Tunneling Rates: From the Quantum to the Semiclassical Regime
S. Löck, A. Bäcker, R. Ketzmerick, and P. Schlagheck
Phys. Rev. Lett. 104, 114101 (2010), 4 pages
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Friedel oscillations in microwave billiards
A. Bäcker, B. Dietz, T. Friedrich, M. Miski-Oglu, A. Richter, F. Schäfer, and S. Tomsovic
Phys. Rev. E 80, 066210 (2009), 5 pages
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Quality factors and dynamical tunneling in annular microcavities
A. Bäcker, R. Ketzmerick, S. Löck, J. Wiersig, and M. Hentschel
Phys. Rev. A 79, 063804 (2009), 6 pages
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Nano-wires with surface disorder: Giant localization lengths and dynamical tunneling in the presence of directed chaos
J. Feist, A. Bäcker, R. Ketzmerick, J. Burgdörfer, and S. Rotter
Phys. Rev. B 80, 245322 (2009), 14 pages
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Semiclassical theory of nonlocal statistical measures: Residual Coulomb interactions
D. Ullmo, S. Tomsovic, and A. Bäcker
Phys. Rev. E 79, 056217 (2009), 20 pages
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Dynamical tunneling in mushroom billiards
A. Bäcker, R. Ketzmerick, S. Löck, M. Robnik, G. Vidmar, R. Höhmann, U. Kuhl, and H.-J. Stöckmann
Phys. Rev. Lett. 100, 174103 (2008), 4 pages
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Residual Coulomb interaction fluctuations in chaotic systems: the boundary, random plane waves, and semiclassical theory
S. Tomsovic, D. Ullmo, and A. Bäcker
Phys. Rev. Lett. 100, 164101 (2008), 4 pages
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Regular-to-chaotic tunneling rates using a fictitious integrable system
A. Bäcker, R. Ketzmerick, S. Löck, and L. Schilling
Phys. Rev. Lett. 100, 104101 (2008), 4 pages
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Universality in the flooding of regular islands by chaotic states
A. Bäcker, R. Ketzmerick, and A. Monastra
Phys. Rev. E 75, 066204 (2007), 11 pages
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Quantum Chaos in Billiards
A. Bäcker
Computing in Science and Engineering, vol. 9, no. 3, pp. 60-64, May-June 2007
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Computational Physics Education with Python
A. Bäcker
Computing in Science and Engineering, vol. 9, no. 3, pp. 30-33, May-June 2007
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Random waves and more: Eigenfunctions in chaotic and mixed systems
A. Bäcker
Eur. Phys. J. Special Topics 145 (2007) 161-169
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Nano-wires with surface disorder: Giant localization lengths and quantum-to-classical crossover
J. Feist, A. Bäcker, R. Ketzmerick, S. Rotter, B. Huckestein, and J. Burgdörfer
Phys.
Rev. Lett. 97, 116804 (2006), 4 pages
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Flooding of Chaotic Eigenstates into Regular Phase Space Islands
A. Bäcker, R. Ketzmerick, and A. Monastra
Phys.
Rev. Lett. 94, 054102 (2005), 4 pages
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Poincaré Husimi representation of eigenstates in quantum billiards
A. Bäcker, S. Fürstberger, R. Schubert
Phys. Rev. E 70, 036204 (2004), 10 pages
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Numerical aspects of eigenvalue and eigenfunction computations for chaotic quantum systems
A. Bäcker
In The Mathematical Aspects of
Quantum Maps, M. Degli Esposti and S. Graffi (Eds.),
Springer Lecture Notes in Physics 618, 91-144 (2003)
[nlin.CD/0204061]
For the Python programs
see here.
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Behaviour of boundary functions for quantum billiards
A. Bäcker, S. Fürstberger, R. Schubert and F. Steiner
J. Phys. A
35, 10293-10310 (2002)
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Isolated resonances in conductance fluctuations and hierarchical states
A. Bäcker, A. Manze, B. Huckestein, and R. Ketzmerick
Phys.
Rev. E 66, 016211 (2002), 8 pages
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Orbit bifurcations and wavefunction autocorrelations
A. Bäcker, J. P. Keating and S. Prado
Nonlinearity
15, 1417-1433 (2002)
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Autocorrelation function of eigenstates in chaotic and mixed systems
A. Bäcker and R. Schubert
J. Phys. A
35, 539-564 (2002)
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Amplitude distribution of eigenfunctions in mixed systems
A. Bäcker and R. Schubert
J. Phys. A.
35, 527-538 (2002)
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About ergodicity in the family of limaçon billiards
H. R. Dullin and A. Bäcker
Nonlinearity
14 (2001) 1673-1687.
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Quantum chaos and quantum ergodicity
A. Bäcker and F. Steiner
In Ergodic Theory, Analysis and Efficient Simulation
of Dynamical Systems, B. Fiedler (ed.), 717-752,
Springer-Verlag Berlin/Heidelberg (2001).
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Maximum norms of chaotic quantum eigenstates and random waves
R. Aurich, A. Bäcker, R. Schubert and M. Taglieber
In: Equadiff 99,
Proceedings of the International
Conference on Differential Equations,
Berlin,
B. Fiedler, K. Gröger and J. Sprekels (eds.)
1461-1463, World Scientific Singapore (2000).
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Spectral statistics for quantized skew
translations on the torus
A. Bäcker and G. Haag
J. Phys. A
32 (1999) L393-L398
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Chaotic eigenfunctions in momentum space
A. Bäcker and R. Schubert
J. Phys. A 32 (1999) 4795-4815
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Maximum norms of chaotic quantum eigenstates and random waves
R. Aurich, A. Bäcker, R. Schubert and M. Taglieber
Physica D
129 (1999) 1-14
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Mode fluctuation distribution for spectra of
superconducting microwave billiards
Alt, A. Bäcker, C. Dembowski, H.-D. Gräf,
R. Hofferbert, H. Rehfeld and A. Richter
Phys. Rev. E
58 (1998) 1737-1742.
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Rate of quantum ergodicity in Euclidean billiards
A. Bäcker, R. Schubert and P. Stifter
Phys.
Rev. E 57 (1998) 5425-5447,
erratum Phys.
Rev. E 58 (1998) 5192
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On the number of bouncing ball modes in billiards
A. Bäcker, R. Schubert and P. Stifter
J. Phys. A
30 (1997) 6783-6795
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Generating partitions for two-dimensional hyperbolic maps
A. Bäcker and N. Chernov
Nonlinearity
11 (1998) 79-87
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Mode fluctuations as fingerprints of chaotic and non-chaotic systems
R. Aurich, A. Bäcker and F. Steiner
Int. J. Mod. Phys. B 11 (1997) 805-849
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Symbolic dynamics and periodic orbits for the cardioid billiard
A. Bäcker and H.R. Dullin
J. Phys. A.
30 (1997) 1991-2020
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Spectral statistics in the quantized cardioid billiard
A. Bäcker, F. Steiner and P. Stifter
Phys.
Rev. E 52 (1995) 2463-2472.
Last modified: 09 December 2016, 15:27:54 ,
Impressum, © Arnd Bäcker