Different lattice geometries with synthetic dimension

Abstract

The possibility of creating different geometries with the help of an extra synthetic dimension in optical lattices is studied. Additional linear potential and Raman assisted tunnelings are used to engineer well controlled tunnelings between available states. The great flexibility of the system allows us to obtain different geometries of synthetic lattices with possibility of adding synthetic gauge fields.

4pp.+

References in corpus (12)

• Observation of chiral edge states with neutral fermions in synthetic Hall ribbons
• Visualizing edge states with an atomic Bose gas in the quantum Hall regime
• A cold-atom quantum simulator for SU(2) Yang-Mills lattice gauge theory
• Four-Dimensional Quantum Hall Effect with Ultracold Atoms
• Optical Abelian Lattice Gauge Theories
• Simulating 2+1d Lattice QED with dynamical matter using ultracold atoms
• The Anyon Hubbard Model in One-Dimensional Optical Lattices
• Charge Pumping of Interacting Fermion Atoms in the Synthetic Dimension
• Synthetic gauge fields in synthetic dimensions: Interactions and chiral edge modes
• Simulating and exploring Weyl semimetal physics with cold atoms in a two-dimensional optical lattice
• Polar molecules in frustrated triangular ladders
• Baryon squishing in synthetic dimensions by effective $SU(M)$ gauge fields

Cited by in corpus (20)

• Topological Photonics
• Synthetic Dimension in Photonics
• Topological quantum matter in synthetic dimensions
• Photonic Topological Insulator in Synthetic Dimensions
• Artificial gauge fields in materials and engineered systems
• Synthetic space with arbitrary dimensions in a few rings undergoing dynamic modulation
• Semi-synthetic zigzag optical lattice for ultracold bosons
• A comprehensive review on developments of synthetic dimensions
• Synthetic dimensions for topological and quantum phases: Perspective
• Quantum simulations with complex geometries and synthetic gauge fields in a trapped ion chain
• Frustrated magnets without geometrical frustration in bosonic flux ladders
• Measuring Chern numbers in Hofstadter strips
• Different models of gravitating Dirac fermions in optical lattices
• Effective triangular ladders with staggered flux from spin-orbit coupling in 1D optical lattices
• Many-body localization with synthetic gauge fields in disordered Hubbard chains
• Phase Space Crystal Vibrations: Chiral Edge States with Preserved Time-reversal Symmetry
• Simulating graphene dynamics in one-dimensional modulated ring array with synthetic dimension
• Optical lattice for tripod-like atomic level structure
• Self-Organized Bosonic Domain Walls
• Phase space curvature in spin-orbit coupled ultracold atom systems