42 citations · 82 across the 6 of their papers we have counts for
6 papers
Space-time Floquet operator: Non-reciprocity and fractional topology of space-time crystals
Abhijeet Melkani, Jayson Paulose
We introduce a space-time Floquet operator, a generalization of the conventional Floquet operator, that captures the long-time behavior of space-time crystals - systems where spati…
Space-time symmetry and nonreciprocal parametric resonance in mechanical systems
Abhijeet Melkani, Jayson Paulose
Linear mechanical systems with time-modulated parameters can harbor oscillations with amplitudes that grow or decay exponentially with time due to the phenomenon of parametric reso…
Degeneracies and symmetry breaking in pseudo-Hermitian matrices
Abhijeet Melkani
Real eigenvalues of pseudo-Hermitian matrices, such as real matrices and symmetric matrices, frequently split into complex conjugate pairs. This is accompanied by th…
Delocalization of interacting directed polymers on a periodic substrate: Localization length and critical exponents from non-Hermitian spectra
Abhijeet Melkani, Alexander Patapoff, Jayson Paulose
We study a classical model of thermally fluctuating polymers confined to two dimensions, experiencing a grooved periodic potential, and subject to pulling forces both along and tra…
Electron vortex beams in non-uniform magnetic fields
Abhijeet Melkani, S. J. van Enk
We consider the quantum theory of paraxial non-relativistic electron beams in non-uniform magnetic fields, such as the Glaser field. We find the wave function of an electron from s…
Eigenstate extraction with neural-network tomography
Abhijeet Melkani, Clemens Gneiting, Franco Nori
We discuss quantum state tomography via a stepwise reconstruction of the eigenstates of the mixed states produced in experiments. Our method is tailored to the experimentally relev…