Optically induced phonon blockade in an optomechanical system with second-order nonlinearity

Abstract

Quantum control of phonons has being become a focus of attention for developing quantum technologies. Here, we propose a proposal to realize phonon blockade in a quadratically coupled optomechanical system, where a strong nonlinear interaction between photons and phonons can be induced by an external field coherently driving the cavity, and the effective coupling strength is tunable by adjusting the amplitude of the driving field. This optically induced nonlinearity is different from standard methods for realization of phonon blockade, where the nonlinearity is achieved by coupling the mechanical system to superconducting qubits. We both analytically and numerically study the phonon statistical properties via the steady-state solution of the second-order correlation function, and find phonon blockade can be efficiently realized for a large cooperativity of the system, which is achievable based on the optically enhanced nonlinear coupling and high quality mechanical system.

Atom‐Mediated Phonon Blockade and Controlled‐Z Gate in Superconducting Circuit System

“…On the other hand, to obtain the zero thermal phonon population and the initial phonon vacuum state and to meet b ≫ {g t , g l }, the high frequency of the mechanical resonator is necessary. [18][19][20][21]25,26] However, in ref. [57] the mechanical frequencies (65 MHz) cannot meet the requirements.…”

“…[12][13][14] Most importantly, mechanical mode with its longer lifetime (compared with optical mode) can be a good candidate for on-chip quantum communications and solid-state quantum devices, [15][16][17] therefore, the phonon blockade is of special meaning and deserves investigation. A lot of schemes of phonon blockade are proposed [18][19][20][21][22][23][24][25][26][27][28] such as the phonon blockade in an optomechanical system with second-order nonlinearity [21] or including an ensemble of the two-level quantum emitter. [22] On the other hand, superconducting quantum circuit, because of its advantages of tunability and flexibility, has received a lot of DOI: 10.1002/andp.202100039 attention.…”

Enhanced phonon blockade in a weakly-coupled hybrid system via mechanical parametric amplification

“…The research on PB has progressed enormously in the last few years since it paves a crucial step for implementation of quantum control at the single-phonon level. Recent schemes have predicted that PB could be induced in systems with the mechanical resonator coupled to a qubit [57][58][59], in systems with quadratic optomechanical interactions [60][61][62][63], or in a system with magnetically induced two-phonon nonlinear coupling [64]. However, for these existing schemes moving into a strong nonlinear regime of the mechanical resonators requires either large quadratic optomechanical coupling rate or large qubitresonator coupling rate, which are still hard to realize in most real scenarios.…”

Phonon blockade in a nanomechanical resonator quadratically coupled to a two-level system

“…The strong nonlinearity results in the enharmonic energy level in system, thus the second phonon cannot be excited for the large detuning. Specifically, the strong nonlinearity for mechanical mode can be induced by dispersive (far off-resonant) NAMR-qubit coupling 1,5–7 , a NAMR resonant coupled to a qubit 8 or a two-Level defect 9 , quadratically optomechanical coupling 10–13 , and the coupling between nitrogen-vacancy (NV) centers and a mechanical mode 14 .…”