4 papers
Quantum Simulation of Hyperbolic Equations and the Nonexistence of a Dirac Path Measure
Sumita Datta
We revisit the longstanding issue of why no well defined probability measure exists corresponding to a classical (Kolmogorov) path integral representation of the Dirac equation in…
On the Connection Between Chaos Assisted Tunneling and Coherent Destruction of Tunneling
Sumita Datta
The interplay between classical chaos and quantum tunneling is examined in driven nonlinear systems, with emphasis on how semi classical phase space structures influence purely qua…
Mpemba Effect in an Expanding Lieb-Liniger Bose gas in a hard wall box
Sumita Datta
The Mpemba effect, broadly understood as the counterintuitive phenomenon in which a system initially farther from equilibrium relaxes faster than a system closer to equilibrium, ha…
Quantum Simulation of non-Born-Oppenheimer dynamics in molecular systems by path integrals
Sumita Datta
A numerical algorithm based on the probabilistic path integral approach for solving Schroedinger equation has been devised to treat molecular systems without Born-Oppenheimer appro…