Simulating many-body lattice systems on a single nano-mechanical resonator

TL;DR

This paper demonstrates how a single nano-mechanical resonator with multiple modes can simulate complex lattice systems like the Bose-Hubbard model and perform universal quantum computing by engineering mode couplings and driving fields.

Contribution

It introduces a novel method to simulate many-body lattice systems and quantum computing on a single nano-resonator using engineered mode interactions.

Findings

Successfully simulates lattice models with a single resonator

Enables universal quantum computing on nano-resonators

Provides a new platform for quantum simulation and computation

Abstract

We show that lattice systems, such as the Bose-Hubbard model, can be simulated on a single nano- or micro-mechanical resonator, by exploiting its many modes. The on-site Hamiltonians are engineered by coupling the mechanical modes to the modes of a pair of optical or stripline resonators, and the connections between the lattice sites are engineered in a similar way. The lattice network structure is encoded in the frequency components of the fields driving the resonators. This three-resonator configuration also allows universal quantum computing on the nano-resonator.