6 papers
Dynamical Fermionization and Emergent Bethe Rapidity Structure in the Spatial Density of Cold quenched Lieb-Liniger gas
Sumita Datta, James M Rejcek, Rajasee Datta +1
We demonstrate that the nonequilibrium spatial density of a one-dimensional interacting Bose gas, following a geometric quench, directly encodes information about the underlying mo…
Melnikov Analysis of Deterministic and Stochastic Manifold Splitting in the Kuramoto--Sivashinsky Equation
Sumita Datta
We develop a Melnikov framework for the Kuramoto Sivashinsky (KS) equation under weak deterministic and stochastic forcing. By treating KS as an infinite dimensional dynamical syst…
Structural Distinction in ODE and PDE Chaos:Lorenz vs Kuramoto--Sivashinsky Equation
Sumita Datta
We study the nature of chaos in finite and infinite dimensional systems through a comparison between the Kuramoto Sivashinsky (KS) equation, the Lorenz system, and a Lorenz type re…
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…