Environment-induced entanglement with a single photon
Malena Hor-Meyll (1), Adriana Auyuanet (1), Carolina Borges (2),, Adriano Arag\~ao (1), Jos\'e Augusto Huguenin (3), Antonio Khoury (2) and, Luiz Davidovich (1) ((1) Instituto de F\'isica, Universidade Federal do Rio, de Janeiro, Rio de Janeiro, Brazil, (2) Instituto de F\'isica
TL;DR
This paper presents an all-optical experimental setup to generate and measure entanglement between different degrees of freedom of a single photon, demonstrating environment-induced entanglement.
Contribution
It introduces a novel method to study environment-induced entanglement using a single photon with coupled degrees of freedom.
Findings
Entanglement increases with environment-induced transition probability.
An invariant entanglement witness allows direct measurement of concurrence.
The setup enables controlled investigation of environment effects on entanglement.
Abstract
We propose an all-optical setup, which couples different degrees of freedom of a single photon, to investigate entanglement generation by a common environment. The two qubits are represented by the photon polarization and Hermite-Gauss transverse modes, while the environment corresponds to the photon path. For an initially two-qubit separable state, the increase of entanglement is analyzed, as the probability of an environment-induced transition ranges from zero to one. An entanglement witness that is invariant throughout the evolution of the system yields a direct measurement of the concurrence of the two-qubit state.
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