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Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids
Published on: May 27, 2020
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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.
Nature
|September 14, 2022
Summary
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.
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.
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