Non-Markovian environment induced Schr\"{o}dinger cat state transfer in an optical Newton's cradle

TL;DR

This paper investigates how non-Markovian environments enable the transfer of Schr"{o}dinger cat states in an optical Newton's cradle setup, highlighting the role of environmental memory effects in quantum state transfer.

Contribution

It demonstrates that non-Markovian environments can facilitate cat state transfer without direct coupling, a phenomenon absent in Markovian environments, through analytical and numerical analysis.

Findings

Cat state transfer occurs via environmental memory effects.

Transfer is absent in Markovian environments.

Environmental parameters critically influence transfer efficiency.

Abstract

In this manuscript, we study the Schr\"{o}dinger cat state transfer in a quantum optical version of Newton's cradle in non-Markovian environment. Based on a non-Markovian master equation, we show that the cat state can be transferred purely through the memory effect of the non-Markovian common environment, even without any direct couplings between neighbor cavities. The mechanism of the environment induced cat state transfer is analyzed both analytically and numerically to demonstrate that the transfer is a unique phenomenon in non-Markovian regime. From this example, the non-Markovian environment is shown to be qualitatively different from the Markovian environment reflected by the finite versus zero residue coherence. Besides, we also show the influence of environmental parameters are crucial for the transfer. We hope the cat state transfer studied in this work may shed more light on the fundamental difference between non-Markovian and Markovian environments.