Quantum simulation of electron-phonon interactions in strongly deformable materials

Abstract

We propose an approach for quantum simulation of electron-phonon interactions using Rydberg states of cold atoms and ions. We show how systems of cold atoms and ions can be mapped onto electron-phonon systems of the Su-Schrieffer-Heeger type. We discuss how properties of the simulated Hamiltonian can be tuned and how to read physically relevant properties from the simulator. In particular, use of painted spot potentials offers a high level of tunability, enabling all physically relevant regimes of the electron-phonon Hamiltonian to be accessed.

To appear in New Journal of Physics

References in corpus (7)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Experimental demonstration of painting arbitrary and dynamic potentials for Bose-Einstein condensates
• Imaging the Mott Insulator Shells using Atomic Clock Shifts
• Superfluidity of Interacting Bosonic Mixtures in Optical Lattices
• Electronically excited cold ion crystals
• Phonon resonances in atomic currents through Bose-Fermi mixtures in optical lattices

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• Transmon-based simulator of nonlocal electron-phonon coupling: A platform for observing sharp small-polaron transitions
• Towards Outperforming Classical Algorithms with Analog Quantum Simulators
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• Quantum simulation of extended polaron models using compound atom-ion systems
• Coherence of the Borromean three-body Förster resonances in Rydberg atoms
• Topological quantum transition driven by charge-phonon coupling in higher-order topological insulators
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• Topological domain wall states in a non-symmorphic chiral chain
• Charge and spin correlations of a Peierls insulator after a quench
• Digital-analog quantum computing of fermion-boson models in superconducting circuits
• Dipole-dipole induced global motion of Rydberg-dressed atom clouds
• Excitation Transport in Molecular Aggregates with thermal motion
• Phonon Induced Instabilities in Correlated Electron Hamiltonians
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• Energy flow during relaxation in an electron-phonon system with multiple modes: A nonequilibrium Green's function study