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We analyze a method for preparing low-entropy many-body states in isolatedquantum optical systems of atoms, ions and molecules. Our approach is basedupon shifting entropy between different regions of a system by spatiallymodulating the magnitude of the effective Hamiltonian. We conduct two casestudies, on a topological spin chain and the spinful fermionic Hubbard model,focusing on the key question: can a "conformal cooling quench" removesufficient entropy within experimentally accessible timescales? Finitetemperature, time-dependent matrix product state calculations reveal that evenmoderately sized "bath" regions can remove enough energy and entropy density toexpose coherent low temperature physics. The protocol is particularly naturalin systems with long-range interactions such lattice-trapped polar moleculesand Rydberg dressed atoms where the magnitude of the Hamiltonian scalesdirectly with the density. To this end, we propose a simple implementation ofconformal cooling quenches in a dilutely-filled optical lattice, wheresignatures of quantum magnetism can be observed.

Preparation of Low Entropy Correlated Many-body States via Conformal Cooling Quenches