6533b82ffe1ef96bd1294917

RESEARCH PRODUCT

Emulating Solid-State Physics with a Hybrid System of Ultracold Ions and Atoms

Rene GerritsmaFerdinand Schmidt-kalerDaniel CocksTommaso CalarcoZbigniew IdziaszekAntonio NegrettiWalter HofstetterUlf Bissbort

subject

PhysicsCondensed Matter::Quantum GasesQuantum PhysicsSolid-state physicsPhononGeneral Physics and AstronomyFOS: Physical sciencesFermion01 natural sciences010305 fluids & plasmasIonsymbols.namesakeQuantum Gases (cond-mat.quant-gas)Hybrid systemLattice (order)0103 physical sciencessymbolsPhysics::Atomic PhysicsAtomic physics010306 general physicsHamiltonian (quantum mechanics)Electronic band structureCondensed Matter - Quantum GasesQuantum Physics (quant-ph)

description

We propose and theoretically investigate a hybrid system composed of a crystal of trapped ions coupled to a cloud of ultracold fermions. The ions form a periodic lattice and induce a band structure in the atoms. This system combines the advantages of scalability and tunability of ultracold atomic systems with the high fidelity operations and detection offered by trapped ion systems. It also features close analogies to natural solid-state systems, as the atomic degrees of freedom couple to phonons of the ion lattice, thereby emulating a solid-state system. Starting from the microscopic many-body Hamiltonian, we derive the low energy Hamiltonian including the atomic band structure and give an expression for the atom-phonon coupling. We discuss possible experimental implementations such as a Peierls-like transition into a period-doubled dimerized state.

https://dx.doi.org/10.48550/arxiv.1304.4972