# Parity and Time Reversal Symmetry in Hanbury Brown-Twiss Effect

## TL;DR

This paper develops a scattering matrix framework to analyze how parity and time reversal symmetry influence the Hanbury Brown-Twiss experiment, revealing effects on quantum statistics and potential universal computational behaviors.

## Contribution

It introduces a general scattering matrix approach for PT-symmetric HBT experiments and shows how symmetry affects particle correlations and quantum statistics.

## Key findings

- PT symmetry significantly influences correlation functions
- The framework distinguishes bosonic and fermionic quantum statistics
- Potential formation of universal Turing machines based on system parameters

## Abstract

The current manuscript employs the parity and time reversal symmetry in the Hanbury Brown-Twiss experiment. For this purpose, we develop a general scattering matrix framework founded on the concatenation of many individual compounded scattering processes on the setup. In this way, we derive the general scattering matrix of a parity and time reversal symmetric Hanbury Brown-Twiss experiment (HBT-PT). Within such scattering formulation, we propose a theoretical framework which provides how to measure the symmetry of the system through the correlation function of a pair of particles transmitted through the leads. The correlation function naturally reveal the quantum statistics of both bosons and fermions and demonstrate a very preponderant role of PT symmetry on the HBT experiment. We indicate the formation of both quantum and classical universal Turing machine depending on controllable parameters of the apparatus.