Exploring unconventional Hubbard models with doubly modulated lattice gases

Area of Science:

• Quantum simulation
• Condensed matter physics
• Cold atom experiments

Background:

• Periodic modulations of cold atoms in optical lattices enable exploration of novel quantum models.
• Existing techniques allow for engineering specific lattice Hamiltonians.

Purpose of the Study:

• To demonstrate a double modulation technique for engineering a broader class of lattice models.
• To investigate the properties of one-dimensional systems with correlated hopping.
• To explore Hubbard models with asymmetric hopping and their unique phases.

Main Methods:

• Applying double modulation, combining lattice shaking and modulated interactions.
• Studying one-dimensional systems with engineered correlated hopping.
• Analyzing Hubbard models with asymmetric hopping, including parity and string order.

Main Results:

• Engineered a broader class of lattices with correlated hopping using double modulation.
• Demonstrated the possibility of studying Hubbard models with asymmetric hopping.
• Identified insulating phases with parity and string order in these asymmetric models.
• Illustrated simulation of the spin-1/2 Fermi-Hubbard model with correlated hopping in unconventional regimes.

Conclusions:

• Double modulation is a powerful technique for engineering advanced quantum lattice models.
• Asymmetric Hubbard models exhibit novel insulating phases beyond standard models.
• This method opens avenues for simulating complex quantum phenomena relevant to materials science, such as in cuprate superconductors.