Abstract
We propose an optical simulation of dissipation-induced correlations in one-dimensional (1D) interacting bosonic systems, using a two-dimensional (2D) array of linear photonic waveguides and only classical light. We show that for the case of two bosons in a 1D lattice, one can simulate on-site two-body dissipative dynamics using a linear 2D waveguide array with lossy diagonal waveguides. The intensity distribution of the propagating light directly maps out the wave function, allowing one to observe the dissipation-induced correlations with simple measurements. Beyond the on-site model, we also show that a generalised model containing nearest-neighbour dissipative interaction can be engineered and probed in the proposed set-up.
Highlights
Correspondence and requests for materials should be addressed to Photonic lattice simulation of dissipation-induced correlations in bosonic systems
We propose an optical simulation of dissipation-induced correlations in one-dimensional (1D) interacting bosonic systems, using a two-dimensional (2D) array of linear photonic waveguides and only classical light
We show for the first time that an essential part of such dissipation-induced physics can be simulated using a linear 2D waveguide structure, and using only classical light
Summary
Photonic lattice simulation of dissipation-induced correlations in bosonic systems. We propose an optical simulation of dissipation-induced correlations in one-dimensional (1D) interacting bosonic systems, using a two-dimensional (2D) array of linear photonic waveguides and only classical light. One can simulate the physics of two interacting particles using two-dimensional (2D) square arrays of linear waveguides along with classical light[19,20], allowing even richer physics such as Bloch oscillations of correlated particles[21], fractional Bloch oscillations[22], and Anderson localisation of two interacting bosons[23] to be observed in photonic lattices. Light losses in an offdiagonal waveguide, if induced, correspond to a long-range twobody dissipative interaction We will utilise this fact later to generalise the on-site interaction model to the nearest-neighbour interaction model. As we show later, the effective Hamiltonian is exactly equivalent to the master equation description in our two-particle problem
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