Abstract
We theoretically investigate the entanglement dynamics in photonic Mott insulators in the presence of particle losses and dephasing. We explore two configurations where entanglement is generated following the injection or extraction of a photon in the central site of a chain of cavity resonators. We study the entanglement negativity of two-site reduced density matrices as a function of time and inter-site distance. Our findings show that in spite of particle losses the quantum entanglement propagation exhibits a ballistic character with propagation speeds related to the differerent quasiparticles that are involved in the dynamics, namely photonic doublons and holons respectively. Our analysis reveals that photon dissipation has a strikingly asymmetric behavior in the two configurations with a much more dramatic role on the holon entanglement propagation than for the doublon case.
Highlights
After being a subject of early intense debate at the dawn of quantum mechanics [1,2], entanglement is recognized as a key feature of quantum physics [3]
In addition to providing sound foundations to the field of quantum information, entanglement theory has paved the way to new discoveries in other areas of physics
The study of entanglement in many-body systems has not been restricted to their ground-state properties: entanglement dynamics and its propagation in space in quantum systems has been the subject of intense research activities for spin chains [14,15,16] and fermionic [17] and bosonic systems [18,19,20,21]
Summary
After being a subject of early intense debate at the dawn of quantum mechanics [1,2], entanglement is recognized as a key feature of quantum physics [3]. The study of entanglement in many-body systems has not been restricted to their ground-state properties: entanglement dynamics and its propagation in space in quantum systems has been the subject of intense research activities for spin chains [14,15,16] and fermionic [17] and bosonic systems [18,19,20,21] These works were important in inspecting the validity and limits of predictions about Lieb-Robinson bounds in lattice systems, as well as providing information about the properties and excitations of complex many-body systems. The physical systems described by the Bose-Hubbard Hamiltonian include, but are not limited to, lattices of microwave resonators in circuit QED platforms [25,33,34,35,36,37], semiconductor microcavities [25,38] and ultracold gases in optical lattices [39,40] These systems exhibit dissipation and dephasing due to the coupling to the environment. The pure dmeepnhtaissindgescchriabnendebl y(Cth=e jdum) dpuoepteorafltuocrtJui(adt)io=ns√in the environd b†i bi, with d the pure dephasing rate
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