Posts by Collection

portfolio

publications

A numerical study of the zeroes of the grand partition function of hard needles of length k on strips of width k

Published in Journal of Physics A, 2025

Numerically studied zeroes of grand partition functions of k-mers on k × L lattice systems for k = 2, 3[cite: 4]. Formulated novel transfer matrix methods, and optimised matrices by using symmetries of the configurations[cite: 4]. Analytically study partition functions of the given setup using the recursive transfer matrix and phase jumps across branch cuts[cite: 4]. Computed critical exponents at the end-points of branches of zeroes for trimers, comparing them with the ones postulated by Fisher[cite: 4].

Download Paper

Design and Benchmarks for Emulating Kondo Dynamics on a Quantum Chip

Published in Physical Review B, 2025

We formulate a novel quantum circuit to emulate periodic time-dependent Kondo Physics and also solve for our system analytically using Bosonization[cite: 2]. We numerically found oscillations in impurity magnetization in finite-sized chains, and analyzed entanglement between impurity and other fermionic sites alongside heating behaviour[cite: 4].

Download Paper

Semidefinite programming for understanding limitations of Lindblad equations

Published in Physical Review A, 2026

We use semidefinite programming (SDP) to establish rigorous no-go theorems on the fundamental limitations of Lindblad equations in correctly modeling non-equilibrium steady states[cite: 2]. We tested the feasibility of constructing QMEs that satisfy physical consistency requirements and accurate steady-state properties, establishing rigorous no-go results for XXZ and XX spin chains[cite: 4]. This demonstrates that for most non-equilibrium and strongly coupled regimes, it is fundamentally impossible for a Markovian QME to satisfy local conservation laws while correctly reproducing the leading-order populations and coherences of the non-equilibrium steady state (NESS)[cite: 4].

Download Paper

Universal Theory of Magic in Quantum Many-body systems

Published in arXiv preprint, 2026

Introduced the Scrooge ensemble, constructed from Haar-random states distorted by a thermal operator, and numerically demonstrated that its magic (filtered stabilizer entropy) accurately matches that of finite-temperature eigenstates in quantum chaotic systems[cite: 4]. Derived analytical formulae for the magic of the Scrooge ensemble for inverse temperatures β, using Weingarten calculus, in strong agreement with numerical data[cite: 4].

Download Paper

talks

teaching

Teaching experience 1

Undergraduate course, University 1, Department, 2014

This is a description of a teaching experience. You can use markdown like any other post.

Teaching experience 2

Workshop, University 1, Department, 2015

This is a description of a teaching experience. You can use markdown like any other post.