Nucleation of superfluid-light domains in a quenched dynamics

Abstract

Strong correlation effects emerge from light-matter interactions in coupled resonator arrays, such as the Mott-insulator to superfluid phase transition of atom-photon excitations. We demonstrate that the quenched dynamics of a finite-sized complex array of coupled resonators induces a first-order like phase transition. The latter is accompanied by domain nucleation that can be used to manipulate the photonic transport properties of the simulated superfluid phase; this in turn leads to an empirical scaling law. This universal behavior emerges from the light-matter interaction and the topology of the array. The validity of our results over a wide range of complex architectures might lead to a promising device for use in scaled quantum simulations.

Dynamical dimerization phase in Jaynes–Cummings lattices

“…The quench protocol described above allows us to simulating second-order like phase transition captured via the Var(n i ), see [31], which is analog to the adiabatic dynamics studied in [23]. Also, the simulated phase transitions in a JCH lattice can be characterized via linear entropy, as shown in this article, which implies that the observation of the emergent DDP is independent of the choice of the order parameter.…”

“…In the open system dynamics, we show evidence about the robustness of dynamical dimerization processes under loss mechanisms. Our findings can be used to determine the light-matter detuning range, where the dimerized phase emerges.transitions from the Mott-insulating to superfluid phase [31]. Here, we introduce an effective Hilbert space in the two-excitations subspace using the criterion of discarding higher energy polaritonic states, which are out-ofresonance over the evolution [27,32].…”

“…transitions from the Mott-insulating to superfluid phase [31]. Here, we introduce an effective Hilbert space in the two-excitations subspace using the criterion of discarding higher energy polaritonic states, which are out-ofresonance over the evolution [27,32].…”

Steering Interchange of Polariton Branches via Coherent and Incoherent Dynamics

“…Cavities are connected in a linear array, or even in a more complex network, where photons can hop between nearest-neighbor cavities [12][13][14][15]. The addition of this hopping leads to the Jaynes-Cummings-Hubbard (JCH) model [11,16], which can be described by the Hamiltonian H = H JC + H hp , with ( = 1) where ω a j , ω c j , g j correspond to the j-th atomic frequency, cavity frequency, and atom-field coupling strength, respectively.…”

“…As the latter increases, the above energy gap E 2− − 2E 1− tends to zero, leading to the SF phase. The dynamical order parameter of the quantum phase transition (QPT) is [15]…”