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Shortcuts to Analog Preparation of Non-Equilibrium Quantum Lakes
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Shortcuts to Analog Preparation of Non-Equilibrium Quantum Lakes
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The dynamical preparation of exotic many-body quantum states is a persistent goal of analog quantum simulation, often limited by experimental coherence times. Recently, it was shown that fast, non-adiabatic Hamiltonian parameter sweeps can create finite-size ``lakes'' of quantum order in certain settings, independent of what is present in the ground state phase diagram. Here, we show that going further out of equilibrium via external driving can substantially accelerate the preparation of these quantum lakes. Concretely, when lakes can be prepared, existing counterdiabatic driving techniques -- originally designed to target the ground state -- instead naturally target the lakes state. We demonstrate this both for an illustrative single qutrit and a model of a $\mathbb{Z}_2$ Rydberg quantum spin liquid. In the latter case, we construct experimental drive sequences that accelerate preparation by almost an order of magnitude at fixed laser power. We conclude by using a Landau-Ginzburg model to provide a semi-classical picture for how our method accelerates state preparation.
Forward citations
Cited by 4 Pith papers
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Dynamical preparation of U(1) quantum spin liquids in an analogue quantum simulator
Experimental realization of large-scale U(1) quantum spin liquid regions in a 2D analog quantum simulator using ultracold atoms, with evidence from Gauss-law compliance, pinch-point correlations, and many-body coheren...
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(Non-)Traversable Quantum Phase Transitions
Proposes classifying quantum phase transitions by whether they are traversable via finite counterdiabatic driving protocols or nontraversable due to infinite geometric distance in the ground-state manifold.
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Model-agnostic cooling algorithms for strongly interacting fermions
A model-agnostic randomized dissipative cooling protocol drives generic strongly correlated fermionic systems to their low-energy manifold using local ancilla couplings with random energy splittings.
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Slow integrability-breaking ramps in degenerate systems leave a finite irreversible energy spread that local counterdiabatic driving cannot fully remove.
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