Non-linear quantum-classical scheme to simulate non-equilibrium strongly 
correlated fermionic many-body dynamics

Kreula, J. M.; Clark, Stephen R.; Jaksch, D.

doi:10.1038/srep32940

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Non-linear quantum-classical scheme to simulate non-equilibrium strongly correlated fermionic many-body dynamics

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Clark, Stephen R.
Department of Physics, University of Bath, Claverton Down, Bath BA2 7AY, United Kingdom;
Quantum Condensed Matter Dynamics, Condensed Matter Dynamics Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;

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http://arxiv.org/abs/1510.05703
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http://dx.doi.org/10.1038/srep32940
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srep32940.pdf
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1510.05703v3.pdf
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srep32940-s1.pdf
(Supplementary material), 464KB

Citation

Kreula, J. M., Clark, S. R., & Jaksch, D. (2016). Non-linear quantum-classical scheme to simulate non-equilibrium strongly correlated fermionic many-body dynamics. Scientific Reports, 6: 32940. doi:10.1038/srep32940.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0029-4837-1

Abstract

We propose a non-linear, hybrid quantum-classical scheme for simulating non-equilibrium dynamics of strongly correlated fermions described by the Hubbard model in a Bethe lattice in the thermodynamic limit. Our scheme implements non-equilibrium dynamical mean field theory (DMFT) and uses a digital quantum simulator to solve a quantum impurity problem whose parameters are iterated to self-consistency via a classically computed feedback loop where quantum gate errors can be partly accounted for. We analyse the performance of the scheme in an example case.