Formation of matter-wave polaritons in an optical lattice

Variational Quantum Simulators Based on Waveguide QED

“…It consists of several emitters that can be individually or globally addressed by lasers, coupled to a one-dimensional waveguide. Although we depict the emitters as atoms and the waveguide as a photonic-crystal one [58,59], our findings can be extrapolated to other wQED platforms with different emitters (e.g., solid-state emitters [41][42][43][44][45][46][47]) and/or waveguides (such as microwave materials [48][49][50][51][52] or matter-wave waveguides [53,54]). Assuming the emitters couple to the waveguide modes through an effective transition between two states g and e whose frequency lies in the band gap, and under the conditions in which the photonic field can be adiabatically eliminated, the dynamics of the emitters are described by the following Hamiltonian [55][56][57]:…”

“…In this Letter, we introduce and characterize a different type of Ansatz inspired by the interactions that can be obtained in structured waveguide QED (wQED) setups [37][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54]. These are systems where quantum emitters interact with one-dimensional photonic modes with nonlinear energy dispersions [see Fig.…”

Two-particle States in One-dimensional Coupled Bose-Hubbard Models

“…The recent implementation of matter-wave polaritons [15,25] motivates a deeper understanding of the coupled BHM beyond a single excitation. There have already been some theoretical works on two-particle and multi-particle waveguide QED and qubit-photon coupled systems using variational and perturbative methods [16,24].…”

“…The Bose-Hubbard model (BHM), known as one of the simplest models that captures the essence of the superfluid-Mott insulator transition [1], has given rise to a plethora of studies with cold bosonic atoms in optical lattices [2][3][4][5] in which the ratio between hopping and onsite interaction is widely tunable. Extensions to multicomponent BHMs enable studies of polaron physics [6,7] and quantum magnetism [8][9][10][11], and by adding a dynamical coupling between the components it furthermore is possible to implement BHMs that mimic radiative effects [12][13][14][15] in waveguide QED, [14,[16][17][18][19][20][21] featuring fractional decay, bound states [22,23], and polaritons [15,24,25]. This also provides a connection to photon-based many-body physics [24,26,27] in the microwave domain [28][29][30][31][32].…”

Strong coupling of quantum emitters and the exciton-polariton in MoS$_2$ nanodisk

“…Their strong coupling has been studied [56,57]. The bound state and its distinguished role in the non-Markovian dynamics have been observed in circuit QED [58] and ultracold atom [59,60] systems. This means that our finding is completely realizable in quantum EP system, where the strong light-matter coupling is more manifest than in other systems.…”