Exact diagonalisation studies of strongly correlated 2D lattice fermions

Few-qubit quantum-classical simulation of strongly correlated lattice fermions

*Correspondence: [email protected] 1Clarendon Laboratory, Department of Physics, University of Oxford, Parks Road, Oxford, OX1 3PU, UK Full list of author information is available at the end of the article Abstract We study a proof-of-principle example of the recently proposed hybrid quantum-classical simulation of strongly correlated fermion models in the thermodynamic limit. In a ‘tw...

Exact diagonalisation of 1-d interacting spinless Fermions

A new method of constructing an infinite set of exact eigenfunctions of 1–d interacting spinless Fermionic systems is derived. Creation and annihilation operators for the interacting system are found and thereby the many–body Hamiltonian is diagonalised. The formalism is applied to several examples. One instance is the theory of Jack polynomials. For the Calogero-Moser-Sutherland Hamiltonian a ...

Strongly correlated fermions after a quantum quench.

Using the adaptive time-dependent density-matrix renormalization group method, we study the time evolution of strongly correlated spinless fermions on a one-dimensional lattice after a sudden change of the interaction strength. For certain parameter values, two different initial states (e.g., metallic and insulating) lead to observables which become indistinguishable after relaxation. We find t...

Finite-temperature properties of strongly correlated fermions in the honeycomb lattice

Dirac-Kähler fermions and exact lattice supersymmetry

We discuss a new approach to putting supersymmetric theories on the lattice. The basic idea is to start from a twisted formulation of the underlying supersymmetric theory in which the fermions are represented as grassmann valued antisymmetric tensor fields. The original supersymmetry algebra is replaced by a twisted algebra which contains a scalar nilpotent supercharge Q. Furthermore the action...