Harish-Chandra Research Institute

Detecting quantum properties in physical systems using proxy witnesses

Abstract In practice, it is quite challenging to detect a quantum property, a microscopic property, in a system. In our work, we construct general proxy witnesses of quantum properties to detect their presence in quantum systems and we do so for quantum systems which may possibly...

Path integral quantization of null bosonic strings with Carroll-Weyl ghosts

A bstract We revisit the path integral quantization of the null bosonic string from the viewpoint that all local gauge symmetries of the Carrollian worldsheet must be gauge fixed before the quantum theory is defined. In the tensile-string construction the bc ghosts are the Faddee...

ALGEBRAIC INDEPENDENCE OF CERTAIN LIOUVILLE NUMBERS IN NON-ARCHIMEDEAN FIELDS

Abstract The theory of Liouville numbers has played a fundamental role in transcendence theory since Liouville’s pioneering construction of explicit transcendental numbers. A classical result of Adams [‘On the algebraic independence of certain Liouville numbers’, J. Pure Appl. Al...

Measurement-Induced Local Dephasing Generates Symmetrically Located Entangled Sites in a Fermionic Tight-Binding Lattice

Abstract We investigate an odd-sized fermionic open tight-binding chain subjected to stochastic projective measurements at its central site, effectively inducing localized dephasing. Focusing initially on the single-particle regime, we demonstrate that when the system is prepared...

On the distribution of shapes of pure quartic number fields

Abstract The shape of a number field is a subtle arithmetic invariant arising from the geometry of numbers. It is defined as the equivalence class of the lattice of integers with respect to linear operations that are composites of rotations, reflections, and positive scalar dilat...

Universal modular properties of generalized Gibbs ensembles and chiral deformations

A bstract We study modular properties of conformal field theories perturbed by holomorphic fields. We prove an asymptotic formula for the modular S-transform of a generalized partition function that includes zero modes of higher spin holomorphic currents. The derivation makes use...