Abstract It is generally accepted that the ubiquitous interaction of the quantum system with its external world normally yields the randomization of phase relationships among the components of the superposition and causes the transition from quantum to classical behavior. We obtain both the steady-state Cauchy-Schwarz inequality violation and higher-order squeezing originating from the immediate consequence of the modified environment by the atom-driving-field interaction. Furthermore, the stronger dissipation enables the enhancement of the violation and amplification of the squeezing. We also show that the coherent control of environment results in the nontrivial locking of the phase relationships among the components of the superposition of quantized fields rather than their randomization in the stationary regime. This work underlines the transition of decohering systems by their coherently controlled environments to the quantum regime and constitutes a key step towards the steady-state perfect higher-order squeezing.Abstract It is generally accepted that the ubiquitous interaction of the quantum system with its external world normally yields the randomization of phase relationships among the components of the superposition and causes the transition from quantum to classical behavior. We obtain both the steady-state Cauchy-Schwarz inequality violation and higher-order squeezing originating from the immediate consequence of the modified environment by the atom-driving-field interaction. Furthermore, the stronger dissipation enables the enhancement of the violation and amplification of the squeezing. We also show that the coherent control of environment results in the nontrivial locking of the phase relationships among the components of the superposition of quantized fields rather than their randomization in the stationary regime. This work underlines the transition of decohering systems by their coherently controlled environments to the quantum regime and constitutes a key step towards the steady-state perfect higher-order squeezing.

Physica ScriptaOct 16, 20260 citations

Conceptual Problems in Quantum Squeezing

Bogdan Mielnik, Jesús Fuentes

arXiv:2406.06529Trends in mathematicsJan 1, 20242 citations

Generation of higher-order squeezing of quantum electromagnetic fields by degenerate four-wave mixing

Xi-Zeng Li, Shan Ying

It is found that the field of the combined mode of the probe wave and the phase-conjugate wave in the process of degenerate four-wave mixing exhibits higher-order squeezing to all even orders. The degree of squeezing increases with the order N, and the higher-order squeeze parameter ${q}_{N}$ may approach -1.It is found that the field of the combined mode of the probe wave and the phase-conjugate wave in the process of degenerate four-wave mixing exhibits higher-order squeezing to all even orders. The degree of squeezing increases with the order N, and the higher-order squeeze parameter ${q}_{N}$ may approach -1.

Physical Review ADec 1, 198910 citations

A test for high order squeezing of a quantum electromagnetic field

L. Mandeļ, C. K. Hong

Jan 1, 19860 citations

Quadrature squeezing of a higher-order sideband spectrum in cavity optomechanics

Shaopeng Liu, Wen‐Xing Yang, Zhonghu Zhu +2 more

We propose an efficient scheme to generate quadrature squeezing of a higher-order sideband spectrum in an optomechanical system. This is achieved by exploiting a well-established optomechanical circumstance, where a second-order nonlinearity is embedded into the optomechanical cavity driven by a strong control field and a weak probe pulse. Using experimentally achievable parameters, we demonstrate that the second-order nonlinearity intensity and the frequency detuning of a control field allow us to modify the amplitude of higher-order sidebands and improve the amount of squeezing of a higher-order sideband spectrum. Furthermore, in the presence of a strong second-order nonlinearity, an optimizing quadrature squeezing of a higher-order sideband spectrum can be achieved, which provides a practical opportunity to design the squeezed frequency combs and other precision measurements.We propose an efficient scheme to generate quadrature squeezing of a higher-order sideband spectrum in an optomechanical system. This is achieved by exploiting a well-established optomechanical circumstance, where a second-order nonlinearity is embedded into the optomechanical cavity driven by a strong control field and a weak probe pulse. Using experimentally achievable parameters, we demonstrate that the second-order nonlinearity intensity and the frequency detuning of a control field allow us to modify the amplitude of higher-order sidebands and improve the amount of squeezing of a higher-order sideband spectrum. Furthermore, in the presence of a strong second-order nonlinearity, an optimizing quadrature squeezing of a higher-order sideband spectrum can be achieved, which provides a practical opportunity to design the squeezed frequency combs and other precision measurements.

Optics LettersDec 18, 201753 citations

{q}_{N}

may approach -1.