Quantum kicked rotor and its variants: Chaos, localization and beyond

MS Santhanam, S Paul, JB Kannan - Physics Reports, 2022 - Elsevier
Kicked rotor is a paradigmatic model for classical and quantum chaos in time-dependent
Hamiltonian systems. More than fifty years since the introduction of this model, there is an …

Anomalous fractal scaling in two-dimensional electric networks

X Zhang, B Zhang, H Sahin, ZB Siu… - Communications …, 2023 - nature.com
Much of the qualitative nature of physical systems can be predicted from the way it scales
with system size. Contrary to the continuum expectation, we observe a profound deviation …

Many-body multifractality throughout bosonic superfluid and Mott insulator phases

J Lindinger, A Buchleitner, A Rodríguez - Physical review letters, 2019 - APS
We demonstrate many-body multifractality of the Bose-Hubbard Hamiltonian's ground state
in Fock space, for arbitrary values of the interparticle interaction. Generalized fractal …

Critical dynamics of long-range quantum disordered systems

W Chen, G Lemarié, J Gong - Physical Review E, 2023 - APS
Long-range hop**s in quantum disordered systems are known to yield quantum
multifractality, the features of which can go beyond the characteristic properties associated …

Quantum quenches in disordered systems: Approach to thermal equilibrium without a typical relaxation time

E Khatami, M Rigol, A Relano, AM García-García - Physical Review E …, 2012 - APS
We study spectral properties and the dynamics after a quench of one-dimensional spinless
fermions with short-range interactions and long-range random hop**. We show that a …

Describing the critical behavior of the Anderson transition in infinite dimension by random-matrix ensembles: Logarithmic multifractality and critical localization

W Chen, O Giraud, J Gong, G Lemarié - Physical Review B, 2024 - APS
Due to their analytical tractability, random matrix ensembles serve as robust platforms for
exploring exotic phenomena in systems that are computationally demanding. Building on a …

Interactions destroy dynamical localization with strong and weak chaos

G Gligorić, JD Bodyfelt, S Flach - Europhysics Letters, 2011 - iopscience.iop.org
Bose-Einstein condensates loaded into kicked optical lattices can be treated as quantum
kicked-rotor systems. Noninteracting rotors show dynamical localization in momentum …

Quantum logarithmic multifractality

W Chen, O Giraud, J Gong, G Lemarié - Physical Review Research, 2024 - APS
Through a combination of rigorous analytical derivations and extensive numerical
simulations, this work reports an exotic multifractal behavior, dubbed “logarithmic …

Coherent forward scattering as a robust probe of multifractality in critical disordered media

M Martinez, G Lemarié, B Georgeot, C Miniatura… - SciPost Physics, 2023 - scipost.org
We study coherent forward scattering (CFS) in critical disordered systems, whose
eigenstates are multifractals. We give general and simple arguments that make it possible to …

Scaling perspective on intramolecular vibrational energy flow: analogies, insights, and challenges

S Keshavamurthy - Adv. Chem. Phys, 2013 - Wiley Online Library
This is a study, certainly not the first one, about the phenomenon of intramolecular
vibrational energy redistribution (IVR)—its mechanism and impact on the reaction rate …