Figure 1

An illustration of the possible realization of our proposal. The quantum pulses ${\widehat{E}}_{\uparrow ,+}$ and ${\widehat{E}}_{\downarrow ,+}$ enter the nonlinear waveguide with different polarizations where they are trapped and made to strongly interact. ${\Omega }_{\uparrow ,\pm }$ and ${\Omega }_{\downarrow ,\pm }$ are two pairs of classical lasers helping to trap and control the pulses. In this regime, the polarized pulses can be made to mimick interacting fermions of opposite spins following the TM dynamics. The scheme is based in engineering the photons’ interaction with atoms in the waveguide using EIT techniques. The appropriate relativistic dispersion relation and the relevant TM mass and interaction terms, are fully tunable by tuning optical parameters such as atom-photon detunings and laser strengths. Once the strongly interacting regime is reached, the pulses can be released with all correlations established during the interaction period coherently transferred over to outgoing photon pulses. The latter can be measured using standard quantum optics techniques. At the insets the atomic level structure and a possible implementation using hollow-core fiber or tapered fibers interacting with cold atomic gases.Reuse & Permissions

Figure 2

(a) The ratio of inter- to intraspecies repulsion as a function of the relevant single photon detunings and the relevant “bosonic” and “fermionic” regimes. (b),(c): The ratio of intra(inter) species interaction to kinetic energy, denoted by ${\beta }_{ss}^i$ (${\beta }_{s\overline{s}}^i$), as a function of the corresponding single photon detuning.Reuse & Permissions

Figure 3

The momentum cutoff $\Lambda$ in unit of $\pi n_{\mathrm{ph}}$ (a) and log-scaled two-point correlations (b) of the massive FTM. As the distances $z-z^{\prime }$ in (b) increases, the correlations decrease. We simulate the system that each initial quantum pulse contains 10 photons and spreads over after completely entering into 1 cm length fiber.Reuse & Permissions