Publikationen Arnd Bäcker
- Quantum transport through partial barriers in higher-dimensional systems
J. Stöber, A. Bäcker, and R. Ketzmerick
Phys. Rev. Lett. 132, 047201 (2024), arXiv:2308.01162 [nlin.CD] - Classical drift in the Arnold web induces quantum delocalization transition
J. R. Schmidt, A. Bäcker, and R. Ketzmerick
Phys. Rev. Lett. 131, 187201 (2023), 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), 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), 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), arXiv:2210.09863v1 [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), arXiv:2204.07561 [quant-ph] - Chaotic resonance modes in dielectric cavities: Product of conditionally invariant measure and universal fluctuations
Roland Ketzmerick, Konstantin Clauß, Felix Fritzsch, and Arnd BäckerPhys. Rev. Lett. 129, 193901 (2022), arXiv:2203.09752v1 [physics.optics]
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Creating triple-NOON states with ultracold atoms via chaos-assisted tunnelling
G. Vanhaele, A. Bäcker, R. Ketzmerick, and P. Schlagheck
Phys. Rev. A 106, L011301 (2022), arXiv:2202.05589v1 [cond-mat.quant-gas] -
Universal intensity statistics of multifractal resonance states
K. Clauß, F. Kunzmann, A. Bäcker, and R. Ketzmerick
Phys. Rev. E 103, 042204 (2021), 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), arXiv:2009.00970 [nlin.CD], Videos -
Linear and logarithmic entanglement production in an interacting chaotic system
S. Paul and A. Bäcker
Phys. Rev. E 102, 050102(R) (2020), 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), 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), arXiv 1911.08207 [nlin.CD] -
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), arXiv 1910.13447 [quant-ph] -
Structure of resonance eigenfunctions for chaotic systems with partial escape
K. Clauß, E. G. Altmann A. Bäcker, and R. Ketzmerick -
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), arXiv:1907.06900 [physics.optics] -
Multifractal dimensions for random matrices, chaotic quantum maps, and many-body systems
A. Bäcker, M. Haque, and I. M. Khaymovich
Phys. Rev. E 100, 032117 (2019), arXiv:1905.03099 [cond-mat.stat-mech] -
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 -
Resonance-Assisted Tunneling in 4D Normal-Form Hamiltonians
M. Firmbach, F. Fritzsch, R. Ketzmerick, and A. Bäcker -
Ordered level spacing probability densities
S. C. L. Srivastava, A. Lakshminarayan, S. Tomsovic, and A. Bäcker
J. Phys. A 52, 025101 (2019), 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 -
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 -
Elliptic Bubbles in Moser's 4D Quadratic Map: the Quadfurcation
A. Bäcker and J. D. Meiss -
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), arXiv:1805.06823 [nlin.CD], Videos
- Resonance eigenfunction hypothesis for chaotic systems
Konstantin Clauß, Martin J. Körber, Arnd Bäcker, and Roland Ketzmerick
Phys. Rev. Lett. 121, 074101 (2018), 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), 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. MertigPhys. Rev. E 95, 020202(R) (2017), arXiv:1609.09276 [nlin.CD]
- 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), arXiv:1607.06477 [nlin.CD] - 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), editor's choice, arXiv:1609.07977 [nlin.CD] Videos - Bifurcations of families of 1D-tori in 4D symplectic maps
F. Onken, S. Lange, R. Ketzmerick, and A. Bäcker
Chaos 26, 063124 (2016), 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), 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), 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), 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), 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), 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), 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), arXiv:1311.7632 [nlin.CD] Videos
Editors' pick, Featured article, and Cover image (pdf) (Chaos, June 2014, volume 24, number 2) - 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), arXiv:1307.6109 [nlin.CD] Videos - 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), arXiv:1308.1561 [nlin.CD] - 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), arXiv:1304.2662 [nlin.CD] - Complex paths for regular-to-chaotic tunnelling rates
N. Mertig, S. Löck, A. Bäcker, R. Ketzmerick, and A. Shudo
Europhys. Lett. 102, 10005 (2013), arXiv:1207.0985 [nlin.CD] - 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), arXiv:1206.3118 [nlin.CD] - Consequences of Flooding on Spectral Statistics
T. Rudolf, N. Mertig, S. Löck, and A. Bäcker
Phys. Rev. E 85, 036213 (2012), arXiv:1201.4288 [nlin.CD] - 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), arXiv:1110.6307v1 [nlin.CD] - Partial Weyl Law for Billiards
A. Bäcker, R. Ketzmerick, S. Löck, and H. Schanz
Europhys. Lett. 94, 30004 (2011), arXiv:1010.5093v2 [nlin.CD] - Fractional Power-Law Level-Statistics due to Dynamical Tunneling
A. Bäcker, R. Ketzmerick, S. Löck, and N. Mertig
Phys. Rev. Lett. 106, 024101 (2011), arXiv:1007.4130v1 [nlin.CD] - 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), arXiv:1009.0418v1 [nlin.CD] - 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), arXiv:0906.4893 [nlin.CD] - 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), arXiv:0910.2855 [nlin.CD] - 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), arXiv:0903.0974 [nlin.CD] - 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), arXiv:0908.3278 [cond-mat.mes-hall] - Semiclassical theory of nonlocal statistical measures: Residual Coulomb interactions
D. Ullmo, S. Tomsovic, and A. Bäcker
Phys. Rev. E 79, 056217 (2009) - 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), arXiv:0801.2833 [nlin.CD] - 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), arXiv:0712.0225 [cond-mat.mes-hall] - 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), arXiv:0707.0217v1 [nlin.CD] - Universality in the flooding of regular islands by chaotic states
A. Bäcker, R. Ketzmerick, and A. Monastra
Phys. Rev. E 75, 066204 (2007), arXiv:701032 [nlin.CD] - 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), arXiv:0606586 [cond-mat.mes-hall] - Flooding of Chaotic Eigenstates into Regular Phase Space Islands
A. Bäcker, R. Ketzmerick, and A. Monastra
Phys. Rev. Lett. 94, 054102 (2005), arXiv:0409029 [nlin.CD] - Poincaré Husimi representation of eigenstates in quantum billiards
A. Bäcker, S. Fürstberger, and R. Schubert
Phys. Rev. E 70, 036204 (2004), arXiv:0307035 [nlin.CD] - 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) arXiv:0204061 [nlin.CD], Ulm report ULM-TP/02-4
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) arXiv:0207034 [nlin.CD] - Isolated resonances in conductance fluctuations and hierarchical states
A. Bäcker, A. Manze, B. Huckestein, and R. Ketzmerick
Phys. Rev. E 66, 016211 (2002), arXiv:0201057 [nlin.CD] - Orbit bifurcations and wavefunction autocorrelations
A. Bäcker, J. P. Keating, and S. Prado
Nonlinearity 15, 1417-1433 (2002) arXiv:0204006 [nlin.CD] - Autocorrelation function of eigenstates in chaotic and mixed systems
A. Bäcker and R. Schubert
J. Phys. A 35, 539-564 (2002) arXiv:0106018 [nlin.CD] - Amplitude distribution of eigenfunctions in mixed systems
A. Bäcker and R. Schubert J. Phys. A 35, 527-538 (2002) arXiv:0106017 [nlin.CD] - 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 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
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