Vikram Athalye

Cummins College of Engineering for Women · Department of Physics

In this article, we assert that, for the construction of quantum physics-analogous (as opposed to quantum math-analogous) probabilistic models of the social (e.g. economics–financial) reality, the use of the notion of causality and the idea of an ensemble of similarly prepared systems in a socially analogous manner could be essential. We give plaus...

The article introduces a novel approach for developing a foundations-based & interpretation-centric Physics-like viewpoint for the socio-economic sciences. Theories from Physics have been routinely applied in the social sciences, such as economics and finance -- but such efforts are usually restricted to the use of only the mathematical language o...

We report experimental implementation of a protocol for testing the Leggett-Garg inequality (LGI) for nuclear spins precessing in an external magnetic field. The implementation involves certain controlled operations, performed in parallel on pairs of spin-1/2 nuclei (target and probe) from molecules of a nuclear magnetic resonance ensemble, which e...

A two level system resonantly coupled to a single mode cavity field and subject to ground state occupancy measurement like interaction is considered. For this situation, the solution to the Lindblad master equation for the density matrix is obtained with respect to the Jaynes Cummings eigenstate representation. It is seen that, the rate of decohere...

In this paper we investigate the effect of many Rayleigh scattering events on decoherence of superpositions of chiral states of a molecule, by taking these events as measurement-like interactions in the sense that the scattered photon state depends on the state of the molecule—both its centre-of-mass position and its chirality. This gives rise to t...

In this paper, we extend the analysis of stationary states of a nonlinear model of a gas of pyramidal molecules (already discussed in the literature) by including a linear coupling to an external electromagnetic field. It is seen that this results in a shift of the bifurcation point and consequently allows, for appropriate values of Rabi frequency,...

This paper is a straightforward generalization of Maierle-Harris proposal regarding parity implications on the superpositions of chiral states of a molecule. It is shown that the inclusion of electric quadrupole and magnetic dipole interactions removes several of restrictions on the preparation of superpositions of mid R:L and mid R:R states of a c...