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Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
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Extended Bose-Hubbard model with dipolar excitons.

C Lagoin1, U Bhattacharya2, T Grass2

  • 1Institut des Nanosciences de Paris, CNRS and Sorbonne Université, Paris, France.

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|September 14, 2022
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Summary
This summary is machine-generated.

Researchers implemented the extended Bose-Hubbard Hamiltonian using dipolar excitons in a 2D lattice. This enabled observation of a chequerboard order in a novel Bose-Hubbard model system.

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Area of Science:

  • Condensed-matter physics
  • Quantum simulation
  • Artificial lattices

Background:

  • The Hubbard model is key for understanding strongly correlated quantum systems.
  • Experimental realization of extended Bose-Hubbard models with long-range interactions is challenging.
  • Extended Bose-Hubbard models predict novel ordered phases at fractional fillings.

Purpose of the Study:

  • To experimentally implement the extended Bose-Hubbard Hamiltonian.
  • To investigate insulating ordered phases in a novel quantum system.
  • To explore the potential of dipolar excitons for quantum simulations.

Main Methods:

  • Confining semiconductor dipolar excitons in a 2D artificial square lattice.
  • Utilizing strong dipolar repulsions for nearest-neighbor interactions.
  • Implementing a lattice with programmable geometries and over 100 sites.

Main Results:

  • Stabilization of an insulating state at half filling.
  • Observation of signatures consistent with a chequerboard spatial order.
  • Demonstration of controlled implementation of boson-like arrays with off-site interactions.

Conclusions:

  • Dipolar excitons provide a platform for realizing extended Bose-Hubbard physics.
  • This work opens avenues for simulating complex quantum phases with tunable interactions.
  • The system allows for programmable lattice geometries and large-scale quantum simulations.