An $\eta$-condensate of fermionic atom pairs via adiabatic state preparation

TL;DR

This paper proposes a method to create an $ ext{eta}$-condensate, an excited eigenstate of the Fermi-Hubbard model, using cold atoms in optical lattices, and analyzes the process with advanced simulation techniques.

Contribution

It introduces a novel adiabatic state preparation scheme for $ ext{eta}$-condensates in cold atom systems, providing a test case for quantum simulation and error detection.

Findings

Successful simulation of the state preparation process

Identification of key parameters for adiabatic evolution

Potential for experimental realization and error analysis

Abstract

We discuss how an $\eta$-condensate, corresponding to an exact excited eigenstate of the Fermi-Hubbard model, can be produced with cold atoms in an optical lattice. Using time-dependent density matrix renormalisation group methods, we analyse a state preparation scheme beginning from a band insulator state in an optical superlattice. This state can act as an important test case, both for adiabatic preparation methods and the implementation of the many-body Hamiltonian, and measurements on the final state can be used to help detect associated errors.