Phonon antibunching effect in coupled nonlinear micro/nanomechanical resonator at finite temperature

Abstract

-In this study, we investigate the phonon antibunching effect in a coupled nonlinear micro/nanoelectromechanical system (MEMS/NEMS) resonator at a finite temperature. In the weak driving limit, the optimal condition for phonon antibunching is given by solving the stationary Liouville-Von Neumann master equation. We show that at low temperature, the phonon antibunching effect occurs in the regime of weak nonlinearity and mechanical coupling, which is confirmed by analytical and numerical solutions. We also find that thermal noise can degrade or even destroy the antibunching effect for different mechanical coupling strengths. Furthermore, a transition from strong antibunching to bunching for phonon correlation has been observed in the temperature domain. Finally, we find that a suitably strong driving in the finite-temperature case would help to preserve an optimal phonon correlation against thermal noise.Introduction. -Quantum state transfer and storage are crucial in quantum information processing. To date, the photon has been the information carrier most commonly used to transfer and store quantum information, and it has the advantage of high velocity, robustness to different environments, and good integrability. However, phonons, which are vibrational modes of mechanical resonators, can be maintained for a very long time before being eventually damped, and they have the ability to interact with a wide range of quantum systems, such as electric, magnetic, and optical systems. Therefore, phonons also have promising potential as quantum information carriers [1][2][3].In quantum phononic networks, the nonclassical states of phonons or of a single phonon are important elements. Many methods to prepare nonclassical states of phonons or a single phonon have been proposed. For example, a single-phonon Fock state is prepared by two-phonon damping [4], a non-Gaussian state of a mechanical resonator is generated by performing measurements [5], and a single phonon is produced by the heralded measurement of the Stokes photon in cavity optomechanics [6,7].

Tunable phonon blockade in quadratically coupled optomechanical systems

“…UCPNB, due to the destructive interference between different paths for two-phonon excitation, can be obtained with weak effective phonon-phonon interactions is similar to the unconventional photon blockade in a weakly nonlinear system of photonic molecule 21 – 33 . More recently, UCPNB was studies in a coupled nonlinear mechanical system with weak nonlinearity 34 .…”

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

“…Different from the CPNB, UCPNB is the counter-intuitive phenomenon that strong phonon antibunching can be observed with weak nonlinearity 8,15–18 . Physically, the strong phonon antibunching for UCPNB is based on the destructive interference between different paths for two-phonon excitation 8 , that UCPNB is usually realized by coupling an auxiliary system to the mechanical mode.…”

“…For the potential application in phononic quantum information processing 2–4 , phonon blockade has draw more and more attentions in recent years 5–18 . The various proposals for realizing phonon blockade so far can be classified into two types namely conventional phonon blockade (CPNB) 1,5–14 and unconventional phonon blockade (UCPNB) 8,15–18 .…”

“…Physically, the strong phonon antibunching for UCPNB is based on the destructive interference between different paths for two-phonon excitation 8 , that UCPNB is usually realized by coupling an auxiliary system to the mechanical mode. Recently, UCPNB was predicted in many different systems, e.g., resonant coupled NAMR-qubit system 8 , coupled nonlinear mechanical resonators 15,16 , quadratically optomechanical system 17 , and hybrid optomechanical system 18 .…”

Unconventional Phonon Blockade in a Tavis–Cummings Coupled Optomechanical System

“…Similar to the unconventional photon blockade in a weakly nonlinear system of photonic molecule, [ 58–60 ] this interference‐based phonon blockade is called unconventional phonon blockade (UCPNB). Very recently, UCPNB has been studied in a coupled mechanical system with weak nonlinearity, [ 61,62 ] a quadratically coupled optomechanical systems, [ 63,64 ] and an optomechanical system with parametric amplification, [ 65 ] etc.…”