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List of works by Arnd Bäcker

Bifurcations of families of 1D-tori in 4D symplectic maps.

scientific article

Chaotic Resonance Modes in Dielectric Cavities: Product of Conditionally Invariant Measure and Universal Fluctuations

Classical Drift in the Arnold Web Induces Quantum Delocalization Transition

scientific article published on 30 October 2023

Complex paths for regular-to-chaotic tunnelling rates

Complex-path prediction of resonance-assisted tunneling in mixed systems

scientific article published on 27 February 2017

Consequences of flooding on spectral statistics.

scientific article

Coupling of bouncing-ball modes to the chaotic sea and their counting function

scientific article published on January 19, 2012

Creating triple-NOON states with ultracold atoms via chaos-assisted tunneling

Direct regular-to-chaotic tunneling rates using the fictitious-integrable-system approach

scientific article published on November 19, 2010

Dynamical tunneling in mushroom billiards

scientific article published on 01 May 2008

Entanglement and localization transitions in eigenstates of interacting chaotic systems

scientific article published on 22 July 2016

Experimental Observation of Resonance-Assisted Tunneling

scientific article published in September 2015

Flooding of chaotic eigenstates into regular phase space islands

scientific article published in Physical Review Letters

Fractional-Power-Law Level Statistics Due to Dynamical Tunneling

scientific article published on January 12, 2011

Global structure of regular tori in a generic 4D symplectic map.

scientific article published in June 2014

Hierarchical fractal Weyl laws for chaotic resonance states in open mixed systems

scientific article published on 13 September 2013

Integrable approximation of regular islands: the iterative canonical transformation method

scientific article published on 02 December 2013

Integrable approximation of regular regions with a nonlinear resonance chain

scientific article published on 04 November 2014

Isolated resonances in conductance fluctuations and hierarchical states

scientific article published on 22 July 2002

Isolated resonances in conductance fluctuations in ballistic billiards

Localization of Chaotic Resonance States due to a Partial Transport Barrier

scientific article published on 15 December 2015

Nanowires with Surface Disorder: Giant Localization Lengths and Quantum-to-Classical Crossover

scientific article published on 13 September 2006

Nanowires with surface disorder: Giant localization length and dynamical tunneling in the presence of directed chaos

scholarly article in Physical Review B, vol. 80 no. 24, December 2009

Partial Weyl law for billiards

Partial barriers to chaotic transport in 4D symplectic maps

Perturbation-free prediction of resonance-assisted tunneling in mixed regular-chaotic systems.

scientific article published on 28 December 2016

Poincare Husimi representation of eigenstates in quantum billiards.

scientific article published on 14 September 2004

Quality factors and dynamical tunneling in annular microcavities

scientific article published in June 2009

Regular-to-chaotic tunneling rates using a fictitious integrable system

scientific article published on 13 March 2008

Regular-to-chaotic tunneling rates: from the quantum to the semiclassical regime

scientific article published on 16 March 2010

Residual Coulomb interaction fluctuations in chaotic systems: the boundary, random plane waves, and semiclassical theory

scientific article published on 25 April 2008

Resonance Eigenfunction Hypothesis for Chaotic Systems

scientific article published on 01 August 2018

Resonance-assisted tunneling in deformed optical microdisks with a mixed phase space

scientific article published on 01 October 2019

Resonance-assisted tunneling in four-dimensional normal-form Hamiltonians

scientific article published on 01 April 2019

Semiclassical theory of nonlocal statistical measures: residual Coulomb interactions

scientific article published on 15 May 2009

Spectral statistics in the quantized cardioid billiard

scientific article published on 01 September 1995

Statistical properties of eigenstate amplitudes in complex quantum systems

scientific article published on 01 August 2018

Structure of resonance eigenfunctions for chaotic systems with partial escape

scientific article published on 01 November 2019

Temporal flooding of regular islands by chaotic wave packets

scientific article published on 27 March 2014

Three-dimensional billiards: Visualization of regular structures and trapping of chaotic trajectories

scientific article published on 01 August 2018

Universal Scaling of Spectral Fluctuation Transitions for Interacting Chaotic Systems

scientific article published on 04 February 2016

Universal intensity statistics of multifractal resonance states

Universal quantum localizing transition of a partial barrier in a chaotic sea

scientific article published on 03 December 2012

Universality in the flooding of regular islands by chaotic states

Visualization and comparison of classical structures and quantum states of four-dimensional maps

scientific article published on 03 February 2014

What is the mechanism of power-law distributed Poincaré recurrences in higher-dimensional systems?