# Interaction-Dependent Photon-Assisted Tunneling in Optical Lattices: A Quantum Simulator of Strongly-Correlated Electrons and Dynamical Gauge Fields

@article{Bermudez2015InteractionDependentPT, title={Interaction-Dependent Photon-Assisted Tunneling in Optical Lattices: A Quantum Simulator of Strongly-Correlated Electrons and Dynamical Gauge Fields}, author={Alejandro Bermudez and Diego Porras}, journal={arXiv: Quantum Gases}, year={2015} }

We introduce a scheme that combines photon-assisted tunneling by a moving optical lattice with strong Hubbard interactions, and allows for the quantum simulation of paradigmatic quantum many-body models. We show that, in a certain regime, this quantum simulator yields an effective Hubbard Hamiltonian with tunable bond-charge interactions, a model studied in the context of strongly-correlated electrons. In a different regime, we show how to exploit a correlated destruction of tunneling to…

## 27 Citations

Floquet approach to ℤ2 lattice gauge theories with ultracold atoms in optical lattices

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Quantum simulation has the potential to investigate gauge theories in strongly-interacting regimes, which are up to now inaccessible through conventional numerical techniques. Here, we take a first…

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Gauge fields that appear in models of high-energy and condensed matter physics are dynamical quantum degrees of freedom due to their coupling to matter fields. Since the dynamics of these strongly…

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We report the realization of correlated, density-dependent tunneling for fermionic 40K atoms trapped in an optical lattice. By appropriately tuning the frequency difference between a pair of Raman…

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- Physics, MedicineScience Advances
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It is demonstrated how quantized dynamical gauge fields can be created in mixtures of ultracold atoms in optical lattices, using a combination of coherent lattice modulation with strong interactions.

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A density-dependent gauge field may induce density-induced geometric frustration, leading to a non-trivial interplay between density modulation and frustration, which we illustrate for the particular…

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- 2016

We investigate the applicability of laser assisted tunneling in a strongly interacting one-dimensional (1D) Bose gas (the Tonks– Girardeau gas) in optical lattices. We find that the stroboscopic…

Loops and Strings in a Superconducting Lattice Gauge Simulator.

- Physics, MedicinePhysical review letters
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An architecture for an analog quantum simulator of electromagnetism in 2+1 dimensions, based on an array of superconducting fluxonium devices, and shows how to engineer Gauss' law via an ancilla mediated gadget construction, and how to tune between the strongly coupled and intermediately coupled regimes.

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