331 citations · 3.1k across the 71 of their papers we have counts for
73 papers
Arctic Curves and a Gapped Gas Phase in a Two-Band Free-Fermion Chain
Charles Jordan, Dimitri M. Gangardt, Alexander G. Abanov
We study the imaginary-time evolution of a domain-wall state constrained to return to itself in a staggered free-fermion chain. The resulting space-time profile separates into froz…
Emptiness formation in the Lieb-Liniger gas: hydrodynamic instantons and a conjectured rate function
Boris A. Khanikati, Alexander G. Abanov
We study the emptiness formation probability (EFP) in the ground state of the repulsive one-dimensional Lieb-Liniger Bose gas. For a macroscopic empty interval of length , its…
Hydrodynamics of perfect fluids with anomalies from the fermionic path integral
Alexander G. Abanov, Andrea Cappelli
The path integral of the Dirac fermion with vector and axial gauge backgrounds is analyzed near the infrared limit in the presence of residual irrelevant current-current interactio…
Infinite-dimensional nonholonomic and vakonomic systems
Alexander G. Abanov, Boris Khesin
In this paper, we present a collection of infinite-dimensional systems with nonholonomic constraints. In finite dimensions the two essentially different types of dynamics, nonholon…
Quantum Geometry of Data
Alexander G. Abanov, Luca Candelori, Harold C. Steinacker +9
We demonstrate how Quantum Cognition Machine Learning (QCML) encodes data as quantum geometry. In QCML, features of the data are represented by learned Hermitian matrices, and data…
Quantum Cognition Machine Learning for Forecasting Chromosomal Instability
Giuseppe Di Caro, Vahagn Kirakosyan, Alexander G. Abanov +11
The accurate prediction of chromosomal instability from the morphology of circulating tumor cells (CTCs) enables real-time detection of CTCs with high metastatic potential in the c…