5 papers
Quantization of Physical Interaction Strengths via Singular Moduli
Prasoon Saurabh
Since the 2019 redefinition of the SI units, precision metrology has sought to anchor all physical quantities to fundamental constants and integer invariants. While the optical fre…
Spectroscopic Search for Topological Protection in Open Quantum Hardware: The Dissipative Mixed Hodge Module Approach
Prasoon Saurabh
Standard spectroscopic protocols model the dynamics of open quantum systems as a superposition of isolated, exponentially decaying eigenmodes. This paradigm fails fundamentally at…
Topological resolution of conical intersection seams and the coupled cluster bifurcation via mixed Hodge modules
Prasoon Saurabh
The rigorous description of Conical Intersections (CIs) remains the central challenge of non-adiabatic quantum chemistry. While the ``Yarkony Seam'' -- the -dimensional man…
Quantum Geometric Tensor in the Wild: Resolving Stokes Phenomena via Floquet-Monodromy Spectroscopy
Prasoon Saurabh
Standard topological invariants, such as the Chern number and Berry phase, form the bedrock of modern quantum matter classification. However, we demonstrate that this framework und…
Open Quantum Systems as Regular Holonomic -Modules: The Mixed Hodge Structure of Spectral Singularities
Prasoon Saurabh
The geometric description of open quantum systems via the Quantum Geometric Tensor (QGT) traditionally relies on the assumption that the physical states form a differentiable vecto…