Genuine many-body quantum scars along unstable modes in Bose-Hubbard systems
Q Hummel, K Richter, P Schlagheck - Physical review letters, 2023 - APS
The notion of many-body quantum scars is associated with special eigenstates, usually
concentrated in certain parts of Hilbert space, that give rise to robust persistent oscillations in …
concentrated in certain parts of Hilbert space, that give rise to robust persistent oscillations in …
Using reservoir computing to construct scarred wave functions
Scar theory is one of the fundamental pillars in the field of quantum chaos, and scarred
functions are a superb tool to carry out studies in it. Several methods, usually semiclassical …
functions are a superb tool to carry out studies in it. Several methods, usually semiclassical …
Relation of exact Gaussian basis methods to the dephasing representation: Theory and application to time-resolved electronic spectra
M Šulc, H Hernández, TJ Martínez… - The Journal of chemical …, 2013 - pubs.aip.org
Relation of exact Gaussian basis methods to the dephasing representation: Theory and
application to time-resolved electronic spectra | The Journal of Chemical Physics | AIP Publishing …
application to time-resolved electronic spectra | The Journal of Chemical Physics | AIP Publishing …
Geometrodynamic approach to conjugate points and the Maslov index
A Vergel, J Montes, F Borondo - Physical Review E, 2022 - APS
Maslov indices are an essential ingredient in the semiclassical approaches to quantum
mechanics, as they are also related to the conjugate points of the corresponding trajectory …
mechanics, as they are also related to the conjugate points of the corresponding trajectory …
Short-periodic-orbit method for excited chaotic eigenfunctions
An alternative method for the calculation of excited chaotic eigenfunctions in arbitrary energy
windows is presented. We demonstrate the feasibility of using wave functions localized on …
windows is presented. We demonstrate the feasibility of using wave functions localized on …
Scar functions, barriers for chemical reactivity, and vibrational basis sets
F Revuelta, E Vergini, RM Benito… - The Journal of Physical …, 2016 - ACS Publications
The performance of a recently proposed method to efficiently calculate scar functions is
analyzed in problems of chemical interest. An application to the computation of wave …
analyzed in problems of chemical interest. An application to the computation of wave …
Improving the accuracy and efficiency of time-resolved electronic spectra calculations: Cellular dephasing representation with a prefactor
E Zambrano, M Šulc, J Vaníček - The Journal of chemical physics, 2013 - pubs.aip.org
Time-resolved electronic spectra can be obtained as the Fourier transform of a special type
of time correlation function known as fidelity amplitude, which, in turn, can be evaluated …
of time correlation function known as fidelity amplitude, which, in turn, can be evaluated …
Using basis sets of scar functions
We present a method to efficiently compute the eigenfunctions of classically chaotic systems.
The key point is the definition of a modified Gram-Schmidt procedure which selects the most …
The key point is the definition of a modified Gram-Schmidt procedure which selects the most …
Semiclassical basis sets for the computation of molecular vibrational states
F Revuelta, E Vergini, RM Benito… - The Journal of chemical …, 2017 - pubs.aip.org
In this paper, we extend a method recently reported [F. Revuelta et al., Phys. Rev. E 87,
042921 (2013)] for the calculation of the eigenstates of classically highly chaotic systems to …
042921 (2013)] for the calculation of the eigenstates of classically highly chaotic systems to …