Abstract
We study the non-equilibrium dynamics of driven spin lattices in the presence of decoherence caused by either laser phase noise or strong decay. In the first case, we discriminate between correlated and uncorrelated noise and explore their effect on the mean density of Rydberg states and the full counting statistics (FCS). We find that while the mean density is almost identical in both cases, the FCS differ considerably. The main method employed is the Langevin equation (LE) but for the sake of efficiency in certain regimes, we use a Markovian master equation and Monte Carlo rate equations, respectively. In the second case, we consider dissipative systems with more general power-law interactions. We determine the phase diagram in the steady state and analyse its generation dynamics using Monte Carlo rate equations. In contrast to nearest-neighbour models, there is no transition to long-range-ordered phases for realistic interactions and resonant driving. Yet, for finite laser detunings, we show that Rydberg lattices can undergo a dissipative phase transition to a long-range-ordered antiferromagnetic (AF) phase. We identify the advantages of Monte Carlo rate equations over mean field (MF) predictions.
Highlights
Non-equilibrium phenomena are ubiquitous in nature and can be found in systems such as fluids [1], cells [2, 3], light harvesting complexes [4, 5] and polymers [6]
Similar phenomenology can be studied in controllable artificial systems, in which the presence of driving and decoherence leads to intriguing physics that differs from the equilibrium situation
In opposite to the steady-state Monte Carlo (ssMC) simulation, mean field predictions fail to show the threshold of p0 in the NNblockade model [59], as shown in Fig. 12(c) and AF phase is found for any interaction strength V0 [see Fig. 12(d)]
Summary
Non-equilibrium phenomena are ubiquitous in nature and can be found in systems such as fluids [1], cells [2, 3], light harvesting complexes [4, 5] and polymers [6]. Similar phenomenology can be studied in controllable artificial systems, in which the presence of driving and decoherence leads to intriguing physics that differs from the equilibrium situation This has motivated much theoretical [7,8,9,10,11] and experimental work [12,13,14,15], based on different experimental platforms ranging from ultracold atoms to driven semiconductor heterostructures. We discuss the dynamics of driven spin lattices in the presence of correlated noise and analyse its difference to the case of uncorrelated noise by comparing the mean density of Rydberg states in the steady state and the full counting statistics (FCS). In the presence of strong decay instead of noise, we show that a long-range-ordered AF phase can be realised in dissipative Rydberg lattices when subjected to appropriate coherent driving.
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