Conditioning on rare boundary measurement outcomes in a quantum East circuit generates states with finite two-point correlations at arbitrary distances and an underlying Sierpiński-triangle fractal structure.
Revealing emergent many-body phenomena by analyzing large-scale space-time records of monitored quantum systems
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abstract
Recent advances in quantum simulators permit unitary evolution interspersed with locally resolved mid-circuit measurements. This paves the way for the observation of large-scale space-time structures in quantum trajectories and opens a window for the \emph{in situ} analysis of complex dynamical processes. We demonstrate this idea using a paradigmatic dissipative spin model, which can be implemented, e.g., on Rydberg quantum simulators. Here, already the trajectories of individual experimental runs reveal surprisingly complex statistical phenomena. In particular, we exploit free-energy functionals for trajectory ensembles to identify dynamical features reminiscent of hydrophobic behavior observed near the liquid-vapor transition in the presence of solutes in water. We show that these phenomena are observable in experiments and discuss the impact of common imperfections, such as readout errors and disordered interactions.
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Using the truncated Wigner approximation on large 1D and 2D systems, the authors find a pronounced slowdown in magnetization relaxation and transient signatures of quantum kinetically constrained dynamics starting from polarized and Néel states.
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Exact large deviations and emergent long-range correlations in sequential quantum East circuits
Conditioning on rare boundary measurement outcomes in a quantum East circuit generates states with finite two-point correlations at arbitrary distances and an underlying Sierpiński-triangle fractal structure.
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Quantum to classical relaxation dynamics of the dissipative Rydberg gas
Using the truncated Wigner approximation on large 1D and 2D systems, the authors find a pronounced slowdown in magnetization relaxation and transient signatures of quantum kinetically constrained dynamics starting from polarized and Néel states.