35 citations · 70 across the 17 of their papers we have counts for
18 papers
Elastic, Quasielastic, and Superelastic Electron Scattering from Thermal Lattice Distortions in Perfect Crystals
Eric J. Heller, Anton M. Graf, Yubo Zhang +2
In standard treatments of electron transport, momentum relaxation in a perfect, defect-free crystal is linked with phonon creation or annihilation. In this work, we reconsider this…
Universal Quantum Birthmark: Ghost of the quantum past
Ivy Xiaoya, Anton M. Graf, Eric J. Heller +1
Quantum dynamics retains a permanent and universal memory of its initial conditions, even in systems whose spectra display fully chaotic, random-matrix behavior. This effect, known…
Adiabaticity Crossover: From Anderson Localization to Planckian Diffusion
Tiange Xiang, Yubo Zhang, Joonas Keski-Rahkonen +2
We investigate electron transport in one dimension from the quantum-acoustic perspective, where the coherent-state representation of lattice vibrations results in a time-dependent…
Shaping chaos in bilayer graphene cavities
Jucheng Lin, Yicheng Zhuang, Anton M. Graf +2
Bilayer graphene cavities where electrons are confined within finite graphene flakes provide an alluring platform not only for the future nanoelectronic devices owing to the tunabl…
Quantum Acoustics Demystifies the Strange Metals
Eric J. Heller, Alhun Aydin, Anton M. Graf +11
Phonons have long been thought to be incapable of explaining key phenomena in strange metals, including linear-in-\textit{T} Planckian resistivity from high to very low temperature…
HARDMath2: A Benchmark for Applied Mathematics Built by Students as Part of a Graduate Class
James V. Roggeveen, Erik Y. Wang, Will Flintoft +42
Large language models (LLMs) have shown remarkable progress in mathematical problem-solving, but evaluation has largely focused on problems that have exact analytical solutions or…
Path-Integral Approach to Quantum Acoustics
Joost V. de Nijs, Anton M. Graf, Eric J. Heller +1
A path-integral approach to quantum acoustics is developed here. In contrast to the commonly utilized particle perspective, this emerging field brings forth a long neglected but es…
Antiscarring from eigenstate stacking in a chaotic spinor condensate
Zhongling Lu, Anton M. Graf, Eric J. Heller +2
We reveal a feature of quantum scarring in systems with many particles: Quantum scars, living densely near an unstable periodic orbit, must be compensated by corresponding antiscar…
Mobility Crossover in Two-Dimensional Berry Crystals
Zixuan Chai, Si-Yuan Chen, Chenzheng Yu +3
Anderson localization is commonly regarded as a generic fate of wave propagation in disordered media, yet underlying spatial correlations can profoundly reshape this picture. Here…
Quantum birthmarks: Ergodicity breaking beyond scarring
Anton M. Graf, Saul Atwood, Mingxuan Xiao +3
A hallmark of classical ergodicity is the complete loss of memory of the initial conditions due to eventual uniform covering of {\it a priori} available phase space. In quantum cou…
Planckian Diffusion: The Ghost of Anderson Localization
Yubo Zhang, Anton M. Graf, Alhun Aydin +2
We find that Anderson localization ceases to exist when a random medium begins to move, but another type of fundamental quantum effect, Planckian diffusion , rises to…
Polaron catastrophe within quantum acoustics
Alhun Aydin, Joonas Keski-Rahkonen, Anton M. Graf +4
The quantum acoustic framework has recently emerged as a non-perturbative, coherent approach to electron-lattice interactions, uncovering rich physics often obscured by perturbativ…
Variational Scarring in Graphene Quantum Dots
J. Keski-Rahkonen, C. Zou, A. M. Graf +4
A quantum eigenstate of a classically chaotic system is referred as scarred by an unstable periodic orbit if its probability density is concentrated in the vicinity of that orbit.…
Direct Visualization of Relativistic Quantum Scars
Zhehao Ge, Anton M. Graf, Joonas Keski-Rahkonen +9
Quantum scars refer to eigenstates with enhanced probability density along unstable classical periodic orbits (POs). First predicted 40 years ago, scars are special eigenstates tha…
Rise and Fall of Anderson Localization by Lattice Vibrations: A Time-Dependent Machine Learning Approach
Yoel Zimmermann, Joonas Keski-Rahkonen, Anton M. Graf +1
The intricate relationship between electrons and the crystal lattice is a linchpin in condensed matter, traditionally described by the Fröhlich model encompassing the lowest-order…
Antiscarring in Chaotic Quantum Wells
J. Keski-Rahkonen, A. M. Graf, E. J. Heller
Chaos plays a crucial role in numerous natural phenomena, but its quantum nature has remained large elusive. One intriguing quantum-chaotic phenomenon is the scarring of a single-p…
Resource Theory of Non-Revivals with Applications to Quantum Many-Body Scars
Roy J. Garcia, Kaifeng Bu, Liyuan Chen +1
The study of state revivals has a long history in dynamical systems. We introduce a resource theory to understand the use of state revivals in quantum physics, especially in quantu…
Quantum-Acoustical Drude Peak Shift
J. Keski-Rahkonen, X. -Y. Ouyang, S. Yuan +3
Quantum acoustics -- a recently developed framework parallel to quantum optics -- establishesa nonperturbative and coherent treatment of the electron-phonon interaction in real spa…