Dynamics of atoms in bilayer optical lattices, and adiabatic state preparation

Stephan Langer, Andrew J. Daley

Stephan Langer, Andrew J. Daley

Georg A. Raithel, G. Birkl, William D. Phillips +1 more

Adrian Kantian, S. Langer, Andrew J. Daley

We show how experimentally available bilayer lattice systems can be used to prepare quantum many-body states with exceptionally low entropy in one layer, by dynamically disentangling the two layers. This disentangling operation moves one layer-subsystem A-into a regime where excitations in A develop a single-particle gap. As a result, this operation maps directly to cooling for subsystem A, with entropy being shuttled to the other layer. For both bosonic and fermionic atoms, we study the corresponding dynamics showing that disentangling can be realized cleanly in ongoing experiments. The corresponding entanglement entropies are directly measurable with quantum gas microscopes, and, as a tool for producing lower-entropy states, this technique opens a range of applications beginning with simplifying production of magnetically ordered states of bosons and fermions.

Ivan Deutsch, Poul Jessen

Anders Søndberg Sørensen, Ehud Altman, Michael J. Gullans +3 more

We analyze a technique for the preparation of low-entropy many-body states of atoms in optical lattices based on adiabatic passage. In particular, we show that this method allows preparation of strongly correlated states as stable highest energy states of Hamiltonians that have trivial ground states. As an example, we analyze the generation of antiferromagnetically ordered states by adiabatic change of a staggered field acting on the spins of bosonic atoms with ferromagnetic interactions.