Non-linear quantum-classical scheme to simulate non-equilibrium strongly correlated fermionic many-body dynamics.
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.
Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, United Kingdom.
J M
JM
Kreula
Department of Physics, University of Bath, Claverton Down, Bath BA2 7AY, United Kingdom.|Max Planck Institute for the Structure and Dynamics of Matter, Hamburg, Germany.
S R
SR
Clark
Clarendon Laboratory, University of Oxford, Parks Road, Oxford OX1 3PU, United Kingdom.|Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543, Singapore.
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Jaksch