arXiv subjects

Priyanshi Bhasin

Publications and source records attributed to Priyanshi Bhasin.

3 recordsLinked to original sources

arXiv2026

Second quantization of anyons and spin-anyon duality

Anyons exhibit a non-trivial interplay between local exclusion rules and non-local braiding and exchange phases, making a consistent commutation algebra and second-quantized formulation challenging. We develop an algebraic framework for Abelian anyons in one dimension with statistical phase $θ$ = $π$/N that enforces a finite on-site occupancy of N-1 anyons with the exchange phase $θ$ between different sites. Moreover, we introduce an exact Jordan-Wigner duality between $π$/3 anyons and spin-1 operators, allowing us to map a tight-binding anyon model to an XY-like spin-1 model. The model exhibits anyon-density-dependent flux, incompressible or gapless regions, and critical points with level crossings that appear as discontinuities in ground-state currents, momenta, fidelities, and correlation functions. Our second-quantization formalism establishes a novel spin anyon duality, offering a conceptually new route to realize anyons from spin Hamiltonians and to engineer corresponding device architectures.

cond-mat.str-el↗

arXiv2025

A Hermitian bypass to the non-Hermitian quantum theory

Describing systems with non-Hermitian (NH) operators remains a challenge in quantum theory due to instabilities (e.g., exceptional points and decoherence) arising from interactions with the environment. We propose a framework to express the energy states of NH Hamiltonians using a well-defined basis (dub computational basis) derived from a related Hermitian operator. This suitably shifts the singularities from the basis states to the expansion coefficients, allowing for their easier mathematical treatment and parametric control. Furthermore, we introduce a `space-time' transformation on the computational basis that defines a generic dual space map for the energy states. Interestingly, this transformation leads to a symmetry for real/imaginary energy values, revealing the existence of weaker condition than hermiticity or the $\mathcal{PT}$ symmetry. This leads to clearer understanding and novel interpretations of key features like exceptional points, dual space, and weaker symmetry-enforced real eigenvalues. The applicability of our framework extends to various branches of physics where NH operators manifest as ladder operators, order parameters, self-energies, projectors, and other entities.

quant-ph↗

arXiv2019

Generic Contractive States and Quantum Monitoring of Free Masses and Oscillators

Monitoring photon quadratures and free masses are useful tools to detect small disturbances such as gravitational waves.Here we report a large class of states for photon quadratures and free masses potentially useful for this purpose: (1)'generic coherent states' (GCS) of photons, whose width is independent of time and uncertainty product $σ(x) σ(p) $ is arbitrarily large (a generalization of the minimum uncertainty Schrödinger coherent states and (2) `squeezed generic contractive states' (SGCS) for photons and free masses (a generalization of the Yuen states \cite{Yuen}) whose width decreases with time ,uncertainty product is arbitrarily large, and the covariance squared $ <\{Δ\hat{x}, Δ\hat{p} \}>^2 $ has an arbitrary value within the allowed range $(0,4 σ^2 (x) σ^2 (p) -1\>)$. Dedicated to the 125th birth anniversary of S. N. Bose.

quant-ph↗