Quantum Simulation of Tunable and Ultrastrong Mixed-Optomechanics

TL;DR

This paper presents a scheme to simulate tunable, ultrastrong mixed optomechanical interactions in a bosonic system, enabling control over coupling strengths and state generation, with potential applications in quantum simulation.

Contribution

It introduces a method to realize and control mixed optomechanical couplings in a bosonic system, including suppression of thermal noise and state generation.

Findings

Achieved single-photon strong and ultrastrong coupling regimes.

Controlled the strengths of first-order and quadratic couplings.

Generated superpositions of coherent squeezed and vacuum states.

Abstract

We propose a reliable scheme to simulate tunable and ultrastrong mixed (first-order and quadratic optomechanical couplings coexisting) optomechanical interactions in a coupled two-mode bosonic system, in which the two modes are coupled by a cross-Kerr interaction and one of the two modes is driven through both the single- and two-excitation processes. We show that the mixed-optomechanical interactions can enter the single-photon strong-coupling and even ultrastrong-coupling regimes. The strengths of both the first-order and quadratic optomechanical couplings can be controlled on demand, and hence first-order, quadratic, and mixed optomechanical models can be realized. In particular, the thermal noise of the driven mode can be suppressed totally by introducing a proper squeezed vacuum bath. We also study how to generate the superposition of coherent squeezed state and vacuum state based on the simulated interactions. The quantum coherence effect in the generated states is characterized by calculating the Wigner function in both the closed- and open-system cases. This work will pave the way to the observation and application of ultrastrong optomechanical effects in quantum simulators.