Non-Markovian Multiphoton Chiral Dynamics with Giant Systems

TL;DR

This paper investigates non-Markovian multiphoton chiral dynamics in giant nonlinear systems coupled to waveguides, revealing direction-dependent correlations, nonreciprocal phase transitions, and tunable photon statistics, advancing control over quantum light in complex systems.

Contribution

It introduces a novel framework for controlling multiphoton chiral dynamics in nonlocally coupled waveguide QED systems, highlighting non-Markovian effects and phase-dependent behaviors.

Findings

Multiphoton dynamics become chiral with direction-dependent correlations.

Nonreciprocal dissipative phase transitions are observed under strong driving.

Photon statistics can be tuned via coupling-point separation.

Abstract

Chiral interactions enable directional control of quantum light, providing new routes for nonreciprocal photon dynamics. While previous studies focused on single photon regimes, this work explores the non-Markovian multiphoton regime in a giant nonlinear system nonlocally coupled to a one-dimensional waveguide, with a tunable phase difference breaking parity symmetry. We show that single-photon transport remains reciprocal, but multiphoton dynamics become chiral, generating direction-dependent higher-order correlations and enabling deterministic creation of multiphoton states with nontrivial statistics from a single input direction, even under strong dissipation. The non-Markovian nature allows tuning of transmitted photon statistics via the coupling-point separation. At a specific phase, internal dynamics become Markovian while output photons retain non-Markovian features. Under strong coherent driving, we uncover nonreciprocal dissipative phase transitions and demonstrate how non-Markovianity shapes the critical response. This framework offers a general strategy for controlling chiral multiphoton dynamics in nonlocally coupled waveguide QED systems.