Publications orcid.org/0000-0002-4321-8099

Videos for selected publications can be found here.

• Semiclassical foundation of universality in chaotic quantum circuits
  M. F. I. Kieler, F. Fritzsch, and A. Bäcker
  arXiv:2605.27052 [quant-ph]
  
  
• Timescales for Deep and Full Thermalization
  T. Herrmann, F. Fritzsch, and A. Bäcker
  arXiv:2604.27749 [quant-ph]
  
  
• Eigenstate correlations in dual-unitary quantum circuits: Partial spectral form factor
  F. Fritzsch, M. F. I. Kieler, and A. Bäcker
  Quantum 9, 1709 (2025), 27 pages arXiv:2407.19929 [quant-ph]
  
  
• Deviations from random-matrix entanglement statistics for kicked quantum chaotic spin-1/2 chains
  T. Herrmann, R. Brandau, and A. Bäcker
  Phys. Rev. E 111, L012104 (2025), 7 pages arXiv:2405.07545 [quant-ph]
  
  
• Quantum transport through partial barriers in higher-dimensional systems
  J. Stöber, A. Bäcker, and R. Ketzmerick
  Phys. Rev. Lett. 132, 047201, (2024), 6 pages arXiv:2308.01162 [nlin.CD]
  Cover Image, Phys. Rev. Lett., Volume 132, Issue 4, 26 January 2024.
  
  
• Classical drift in the Arnold web induces quantum delocalization transition
  J. R. Schmidt, A. Bäcker, and R. Ketzmerick
  Phys. Rev. Lett. 131, 187201, (2023), 7 pages arXiv:2307.06717 [nlin.CD]
  
  
• Characterizing quantum chaoticity of kicked spin chains
  T. Herrmann, M. F. I. Kieler, and A. Bäcker
  Phys. Rev. E 108, 044213 (2023), 9 pages arXiv:2306.09034 [quant-ph]
  
  
• Fast bit flipping based on stability transition of coupled spins
  M. F. I. Kieler and A. Bäcker
  Phys. Rev. E 108, L022203 (2023),6 pages arXiv:2303.16171 [quant-ph]
  
  
• Partial barriers to chaotic transport in 4D symplectic maps
  M. Firmbach, A. Bäcker, and R. Ketzmerick
  Chaos 33, 013125 (2023), 18 pages [arXiv:2210.09863 [nlin.CD]]
  
  
• Quantum coherence controls the nature of equilibration in coupled chaotic systems
  J. J. Pulikkottil, A. Lakshminarayan, S. C. L. Srivastava, M. F. I. Kieler, A. Bäcker, and S. Tomsovic
  Phys. Rev. E 107, 024124 (2023), 22 pages arXiv:2204.07561 [quant-ph]
  
  
• Chaotic resonance modes in dielectric cavities: Product of conditionally invariant measure and universal fluctuations
  R. Ketzmerick, K. Clauß, F. Fritzsch, and A. Bäcker
  Phys. Rev. Lett. 129, 193901 (2022), 7 pages arXiv:2203.09752 [physics.optics]
  
  
• Creating triple-NOON states with ultracold atoms via chaos-assisted tunneling
  G. Vanhaele, A. Bäcker, R. Ketzmerick, and P. Schlagheck
  Phys. Rev. A 106, L011301 (2022), 6 pages [ arXiv:2202.05589 [cond-mat.quant-gas]]
  
  
• Universal intensity statistics of multifractal resonance states
  F. Kunzmann, K. Clauß, A. Bäcker, R. Ketzmerick
  Phys. Rev. E 103, 042204 (2021), 12 pages [arXiv:2012.02541 [nlin.CD]
  
  
• Geometry of complex instability and escape in four-dimensional symplectic maps
  J. Stöber and A. Bäcker
  Phys. Rev. E 103, 042208 (2021), 19 pages arXiv:2009.00970 [nlin.CD], 19 pages Videos
  
  
• Linear and logarithmic entanglement production in an interacting chaotic system
  S. Paul and A. Bäcker
  Phys. Rev. E 102, 050102(R) (2020), 6 pages (Open Access) arXiv:2007.13604 [quant-ph]
  
  
• Entanglement production by interaction quenches of quantum chaotic subsystems
  J. J. Pulikkottil, A. Lakshminarayan, S. C. L. Srivastava, A. Bäcker, and S. Tomsovic
  Phys. Rev. E 101, 032212 (2020), 18 pages arXiv:1909.04733 [quant-ph]
  
  
• Power-law trapping in the volume-preserving Arnold-Beltrami-Childress map
  S. Das and A. Bäcker
  Phys. Rev. E 101, 032201 (2020), 15 pages (Open Access) arXiv 1911.08207 [nlin.CD]
  Covered as Kaleidoscope image March 2020.
  
  
• Entanglement in coupled kicked tops with chaotic dynamics
  T. Herrmann, M. F. I. Kieler, F. Fritzsch, and A. Bäcker
  Phys. Rev. E 101, 022221 (2020), 17 pages arXiv 1910.13447 [quant-ph]
  
  
• Elliptic bubbles in Moser's 4D quadratic map: The quadfurcation
  A. Bäcker and J. D. Meiss
  SIAM J. Appl. Dyn. Syst. 19, 442-479 (2020) [arXiv:1807.06074 [nlin.CD]] Videos
  Fig. 13 in black and white (#blackandwhitechallenge, School of Science TU Dresden)
  
  
• Structure of resonance eigenfunctions for chaotic systems with partial escape
  K. Clauß, E. G. Altmann, A. Bäcker, R. Ketzmerick
  Phys. Rev. E 100, 052205 (2019), 11 pages [arXiv:1907.12870 [nlin.CD]]
  
  
• Resonance-assisted tunneling in deformed optical microdisks with a mixed phase space
  F. Fritzsch, R. Ketzmerick, and A. Bäcker
  Phys. Rev. E 100, 042219 (2019), 13 pages [ arXiv:1907.06900 [physics.optics]]
  
  
• Multifractal dimensions for random matrices, chaotic quantum maps, and many-body systems
  A. Bäcker, M. Haque, and I. Khaymovich
  Phys. Rev. E 100, 032117 (2019), 14 pages [ arXiv:1905.03099 [cond-mat.stat-mech]]
  
  
• Resonance-assisted tunneling in 4D normal-form Hamiltonians
  M. Firmbach, F. Fritzsch, R. Ketzmerick, and A. Bäcker
  Phys. Rev. E 99, 042213 (2019), 13 pages [arXiv:1901.02692 [nlin.CD]]
  
  
• Ordered level spacing probability densities
  S. C. L. Srivastava, A. Lakshminarayan, S. Tomsovic, and A. Bäcker
  J. Phys. A 52, 025101 (2019), 20 pages (Open Access) [arXiv:1810.01569 [nlin.CD]]
  
  
• Moser's quadratic, symplectic map
  A. Bäcker and J. D. Meiss
  Regul. Chaotic Dyn. 23, 654-664 (2018). [arXiv:1808.07229 [nlin.CD]] Videos
  Jürgen Moser 90th Anniversary. Special Memorial Issue.
  
  
• The quadfurcation
  A. Bäcker and J. D. Meiss
  Dynamical Systems Magazine, DSWeb, October 2018
  
  
• Eigenstate entanglement between quantum chaotic subsystems: Universal transitions and power laws in the entanglement spectrum
  S. Tomsovic, A. Lakshminarayan, S. C. L. Srivastava, and A. Bäcker
  Phys. Rev. E 98, 032209 (2018), 27 pages [arXiv:1807.00572 [quant-ph]]
  
  
• Three-dimensional billiards: Visualization of regular structures and trapping of chaotic trajectories
  M. Firmbach, S. Lange, R. Ketzmerick, and A. Bäcker
  Phys. Rev. E 98, 022214 (2018), 18 pages [arXiv:1805.06823 [nlin.CD]] Videos
  Covered as Kaleidoscope image August 2018.
  
  
• Resonance eigenfunction hypothesis for chaotic systems
  K. Clauß, M. J. Körber, A. Bäcker, R. Ketzmerick
  Phys. Rev. Lett. 121, 074101 (2018), 6 pages [arXiv:1803.02631 [nlin.CD]]
  
  
• Statistical Properties of Eigenstate Amplitudes in Complex Quantum Systems
  W. Beugeling, A. Bäcker, R. Moessner, and M. Haque
  Phys. Rev. E 98, 022204 (2018), 14 pages [arXiv:1710.11433 [cond-mat.stat-mech]]
  
  
• Homoclinic points of 2D and 4D maps via the parametrization method
  S. Anastassiou, T. Bountis, and A. Bäcker
  Nonlinearity 30 (2017) 3799-3820. [arXiv:1605.05521 [nlin.DS]] Videos
  
  
• Complex-path prediction of resonance-assisted tunneling in mixed systems
  F. Fritzsch, A. Bäcker, R. Ketzmerick, and N. Mertig
  Phys. Rev. E 95, 020202(R) (2017), 6 pages [arXiv:1609.09276 [nlin.CD]]
  
  
• What is the mechanism of power-law distributed Poincaré recurrences in higher-dimensional systems?
  S. Lange, A. Bäcker, and R. Ketzmerick
  Eur. Phys. Lett 116, 30002 (2016), 6 pages. [arXiv:1609.07977 [nlin.CD]] Videos
  Editor's choice. Selected for Highlights of 2016.
  
  
• Perturbation-free prediction of resonance-assisted tunneling in mixed regular--chaotic systems
  N. Mertig, J. Kullig, C. Löbner, A. Bäcker, and R. Ketzmerick
  Phys. Rev. E 94, 062220 (2016), 18 pages [arXiv:1607.06477 [nlin.CD]]
  
  
• 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
  
  
• 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]]
  
  
• 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]]
  
  
• 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]]
  
  
• 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]]
  
  
• 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]]
  
  
• 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]]
  
  
• 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.
  
  
• 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]]
  
  
• 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).
  
  
• 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]]
  
  
• Quantum ergodicity and beyond. With a gallery of pictures.
  N. Anantharaman and A. Bäcker
  IAMP News Bulletin, April 2013, 10-28 (pdf)
  
  
• 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
  
  
• 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
  
  
• Consequences of Flooding on Spectral Statistics
  T. Rudolf, N. Mertig, S. Löck, and A. Bäcker
  Phys. Rev. E 85, 036213 (2012), 8 pages
  
  
• 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
  
  
• Partial Weyl Law for Billiards
  A. Bäcker, R. Ketzmerick, S. Löck, and H. Schanz
  Europhys. Lett. 94 30004 (2011), 5 pages
  
  
• 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
  
  
• 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
  
  
• 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
  
  
• 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
  
  
• 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
  
  
• 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
  
  
• Semiclassical theory of nonlocal statistical measures: Residual Coulomb interactions
  D. Ullmo, S. Tomsovic, and A. Bäcker
  Phys. Rev. E 79, 056217 (2009), 20 pages
  
  
• 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
  
  
• 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
  
  
• 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
  
  
• 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
  
  
• Quantum Chaos in Billiards
  A. Bäcker
  Computing in Science and Engineering, vol. 9, no. 3, pp. 60-64, May-June 2007
  
  
• Computational Physics Education with Python
  A. Bäcker
  Computing in Science and Engineering, vol. 9, no. 3, pp. 30-33, May-June 2007
  
  
• Random waves and more: Eigenfunctions in chaotic and mixed systems
  A. Bäcker
  Eur. Phys. J. Special Topics 145 (2007) 161-169
  
  
• 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
  
  
• Flooding of Chaotic Eigenstates into Regular Phase Space Islands
  A. Bäcker, R. Ketzmerick, and A. Monastra
  Phys. Rev. Lett. 94, 054102 (2005), 4 pages
  
  
• Poincaré Husimi representation of eigenstates in quantum billiards
  A. Bäcker, S. Fürstberger, R. Schubert
  Phys. Rev. E 70, 036204 (2004), 10 pages
  
  
• 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.
  
  
• Behaviour of boundary functions for quantum billiards
  A. Bäcker, S. Fürstberger, R. Schubert and F. Steiner
  J. Phys. A 35, 10293-10310 (2002)
  
  
• 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
  
  
• Orbit bifurcations and wavefunction autocorrelations
  A. Bäcker, J. P. Keating and S. Prado
  Nonlinearity 15, 1417-1433 (2002)
  
  
• Autocorrelation function of eigenstates in chaotic and mixed systems
  A. Bäcker and R. Schubert
  J. Phys. A 35, 539-564 (2002)
  
  
• Amplitude distribution of eigenfunctions in mixed systems
  A. Bäcker and R. Schubert
  J. Phys. A. 35, 527-538 (2002)
  
  
• About ergodicity in the family of limaçon billiards
  H. R. Dullin and A. Bäcker
  Nonlinearity 14 (2001) 1673-1687
  
  
• 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).
  
  
• 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).
  
  
• Spectral statistics for quantized skew translations on the torus
  A. Bäcker and G. Haag
  J. Phys. A 32 (1999) L393-L398
  
  
• Chaotic eigenfunctions in momentum space
  A. Bäcker and R. Schubert
  J. Phys. A 32 (1999) 4795-4815
  
  
• Maximum norms of chaotic quantum eigenstates and random waves
  R. Aurich, A. Bäcker, R. Schubert and M. Taglieber
  Physica D 129 (1999) 1-14
  
  
• 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.
  
  
• 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
  
  
• On the number of bouncing ball modes in billiards
  A. Bäcker, R. Schubert and P. Stifter
  J. Phys. A 30 (1997) 6783-6795
  
  
• Generating partitions for two-dimensional hyperbolic maps
  A. Bäcker and N. Chernov
  Nonlinearity 11 (1998) 79-87
  
  
• 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
  
  
• Symbolic dynamics and periodic orbits for the cardioid billiard
  A. Bäcker and H.R. Dullin
  J. Phys. A. 30 (1997) 1991-2020
  
  
• Spectral statistics in the quantized cardioid billiard
  A. Bäcker, F. Steiner and P. Stifter
  Phys. Rev. E 52 (1995) 2463-2472.
  
  

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Last modified: 27 May 2026, 18:56:18 , © Arnd Bäcker

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