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

@article{Schweizer2019FloquetAT,
  title={Floquet approach to ℤ2 lattice gauge theories with ultracold atoms in optical lattices},
  author={Christian Schweizer and Fabian Grusdt and Moritz Berngruber and Luca Barbiero and Eugene A. Demler and Nathan Goldman and Immanuel Bloch and Monika Aidelsburger},
  journal={Nature Physics},
  year={2019}
}
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 step in this direction by implementing a Floquet-based method for studying $\mathbb{Z}_2$ lattice gauge theories using two-component ultracold atoms in a double-well potential. For resonant periodic driving at the on-site interaction strength and an appropriate choice of the modulation parameters… 

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References

SHOWING 1-10 OF 62 REFERENCES
Coupling ultracold matter to dynamical gauge fields in optical lattices: From flux attachment to ℤ2 lattice gauge theories
TLDR
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.
Quantum Simulation of the Universal Features of the Polyakov Loop.
TLDR
The Abelian Higgs model in 1+1 dimensions is shown to be a prime candidate for an experimental quantum simulation of a lattice gauge theory, and a discrete tensor reformulation is used to smoothly connect the space-time isotropic version used in most numerical lattice simulations to the continuous-time limit corresponding to the Hamiltonian formulation.
Implementing quantum electrodynamics with ultracold atomic systems
We discuss the experimental engineering of model systems for the description of QED in one spatial dimension via a mixture of bosonic $^{23}$Na and fermionic $^6$Li atoms. The local gauge symmetry is
Optical Abelian Lattice Gauge Theories
Real-time dynamics of lattice gauge theories with a few-qubit quantum computer
TLDR
This work reports the experimental demonstration of a digital quantum simulation of a lattice gauge theory, by realizing (1 + 1)-dimensional quantum electrodynamics (the Schwinger model) on a few-qubit trapped-ion quantum computer and explores the Schwinger mechanism of particle–antiparticle generation by monitoring the mass production and the vacuum persistence amplitude.
Observation of Density-Dependent Gauge Fields in a Bose-Einstein Condensate Based on Micromotion Control in a Shaken Two-Dimensional Lattice.
TLDR
A density-dependent gauge field, induced by atomic interactions, for quantum gases, is demonstrated and envisioned that these interaction-induced fields will provide a stepping stone to model new quantum phenomena within and beyond condensed matter physics.
Interaction-Dependent Photon-Assisted Tunneling in Optical Lattices: A Quantum Simulator of Strongly-Correlated Electrons and Dynamical Gauge Fields
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
Finite-size effects in the Z 2 spin liquid on the kagome lattice
Motivated by the recent discovery of the Z_2 quantum spin liquid state in the nearest neighbor Heisenberg model on the kagome lattice, we investigate the "even-odd" effect occuring when this state is
Lattice gauge theory simulations in the quantum information era
The many-body problem is ubiquitous in the theoretical description of physical phenomena, ranging from the behaviour of elementary particles to the physics of electrons in solids. Most of our
Floquet Realization and Signatures of One-Dimensional Anyons in an Optical Lattice.
TLDR
Whereas the real-space density of the bosonic atoms corresponds directly to that of the simulated anyonic model, this is not the case for the momentum distribution, and it is proposed to use Friedel oscillations in the density as a probe for continuous fermionization of thebosonic atoms.
...
1
2
3
4
5
...