Quantum entanglement in coupled lossy waveguides using SU(2) and SU(1,1) Thermo-algebras

TL;DR

This paper employs thermofield dynamics and symmetry algebras to analyze quantum entanglement and decoherence in coupled lossy waveguides for different input states, providing insights into their quantum behavior over time.

Contribution

It introduces a novel application of SU(2) and SU(1,1) algebras within thermofield dynamics to study entanglement in lossy waveguides, advancing understanding of quantum decoherence.

Findings

Entanglement dynamics depend on input state types.

Decoherence rates vary with system parameters.

SU(2) and SU(1,1) symmetries facilitate analytical solutions.

Abstract

In this paper, the master equation for the coupled lossy waveguides is solved using the thermofield dynamics(TFD) formalism. This formalism allows the use of the underlying symmetry algebras SU(2) and SU(1,1), associated with the Hamiltonian of the coupled lossy waveguides,to compute entanglement and decoherence as a function of time for various input states such as NOON states and thermal states.