Decay-dephasing-induced steady states in bosonic Rydberg-excited quantum gases in an optical lattice

Abstract

We investigate the possibility of realizing supersolid quantum phases in bosonic Rydberg-excited quantum lattice gases in the presence of non-unitary processes, by simulating the dynamical evolution starting from initial preparation in non-dissipative equilibrium states. Within Gutzwiller theory, we first analyze the many-body ground-state of a bosonic Rydberg-excited quantum gas in a two dimensional optical lattice for variable atomic hopping rates and Rabi detunings. Furthermore, we perform time evolution of different supersolid phases using the Lindblad-master equation. With the inclusion of two different non-unitary processes, namely spontaneous decay from a Rydberg state to the ground state and dephasing of the addressed Rydberg state, we study the effect of nonunitary processes on those quantum phases and observe long-lived states in the presence of decay and dephasing. We find that long-lived supersolid quantum phases are observable within a range of realistic decay and dephasing rates, while high rates cause any initial configuration to homogenize quickly, preventing possible supersolid formation.

Supersolid phases of Rydberg-excited bosons on a triangular lattice

“…In Fig. 4 we present the results of calculations performed within the static Gutzwiller mean-field approximation [12,45]. Upon comparison with the B-DMFT we notice that both methods give similar results.…”

“…We perform calculations with two methods: (i) a Gutzwiller (static) mean-field approximation, described in detail in [12,45], and (ii) the bosonic dynamical meanfield theory (B-DMFT) [51]. Both methods are based on self-consistency and on mapping of the lattice problem onto a set of local impurity problems.…”

“…The latter has been investigated in Ref. [45] and it seems that even for relatively large dissipation strength the order prevails for times on the order of hundreds of µs if the fraction of excited state atoms is small, similarly as in the case of avalanche dephasing.…”

“…In contrast, theoretical studies of the corresponding models have been performed both in the frozen-limit and for itinerant atoms. Main results include the study of self-organization of Rydberg excitations in a lattice [24,39], phase diagrams and effects of finite hopping amplitude [23,[40][41][42], spectral properties of different phases [43], and effects of dissipation [44,45]. However, these studies focused on the square lattice geometry without considering effects of frustration.…”

Hyperchaos in a Bose-Hubbard Chain with Rydberg-Dressed Interactions

“…For r > R, the interaction decreases rapidly as r −6 , shown in Figure 1a. Various theoretical studies on the static and dynamical properties of Rydberg-dressed atoms confined in harmonic traps [55][56][57][58] and optical lattices [59][60][61][62][63][64][65] have been conducted in the past decade. Rydberg-dressed interactions have been experimentally demonstrated in optical tweezers [66], optical lattices [67][68][69], and harmonic traps [70], using various atomic species such as Rb [67,68], Cs [66,70], and Li [69] atoms.…”