Three-level {\Lambda}-type atomic systems with a Pseudo-Hermitian PT-symmetric Hamiltonian

TL;DR

This paper investigates a three-level atomic system with decay, modeled by a pseudo-Hermitian Hamiltonian exhibiting PT-symmetry, analyzing atomic state probabilities across PT-thresholds.

Contribution

It introduces a pseudo-Hermitian Hamiltonian framework for a three-level atomic system with decay, exploring PT-symmetry conditions and state probabilities.

Findings

Hamiltonian exhibits PT-symmetry under specific conditions

Probability amplitudes are calculated below and above PT-threshold

System behavior changes across PT-thresholds

Abstract

We have studied a three-level {\Lambda}-type atomic system with all the energy levels exhibiting decay. The system is described by a pseudo-Hermitian Hamiltonian and subject to certain conditions, the Hamiltonian shows parity-time (PT) symmetry. The probability amplitudes of various atomic levels both below and above the PT-theshold is worked out.