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We find that the exponential operator V=exp[ilamda (Q_1P_2+Q_2P_3+...+Q_{n-1}P_{n}+Q_{n}P_1)], Q_{i}, P_{i} are respectively the coordinate and momentum operators, is an n-mode squeezing operator which engenders standard squeezing. By…

Quantum Physics · Physics 2009-11-13 Li-yun Hu , Hong-yi Fan

In this paper, we study the quantum properties of the three-mode squeezed operator. This operator is constructed from the optical parametric oscillator based on the three concurrent $\chi^{(2)}$ nonlinearities. We give a complete treatment…

Quantum Physics · Physics 2015-05-14 Faisal A. A. El-Orany , Azeddine Messikh , Gharib S. Mahmoud , Wahiddin M. R. B

Two-mode squeezed vacuum states are a crucial component of quantum technologies. In the microwave domain, they can be produced by Josephson ring modulator which acts as a three-wave mixing non-degenerate parametric amplifier. Here, we solve…

Quantum Physics · Physics 2023-03-29 Dong Hwan Kim , Su-Yong Lee , Zaeill Kim , Taek Jeong , Duk Y. Kim

We generalized the squeeze and displacement operators of the one-dimensional harmonic oscillator to the three-dimensional case and based on these operators we construct the corresponding coherent and squeezed states. We have also calculated…

Quantum Physics · Physics 2011-05-17 Mehdi Miri , Sina Khorasani

It is known that exp[i\lamda(Q_1P_1-i/2)] is a unitary single-mode squeezing operator, where Q_1,P_1 are the coordinate and momentum operators, respectively. In this paper we employ Dirac's coordinate representation to prove that the…

Quantum Physics · Physics 2009-03-06 Xue-xiang Xu , Li-yun Hu , Hong-yi Fan

State preparation via postselected weak measurement in three wave mixing process is studied. Assuming the signal input mode prepared in a vacuum state, coherent state or squeezed vacuum state, separately, while the idler input prepared in…

Quantum Physics · Physics 2022-02-16 Qiang Hu , Taximaiti Yusufu , Yusuf Turek

We propose an efficient approach to generate the superposed macroscopically squeezed states with enhanced squeezing in a two-mode optomechanical system. This can be achieved by introducing a sinusoidal modulation to either the cavity…

Quantum Physics · Physics 2019-05-15 Sai-Nan Huai , Wei Nie , Yun-bo Zhang , Yu-xi Liu

We investigate superpositions of two-mode squeezed states (TMSSs), which have potential applications to quantum information processing and quantum sensing. Firstly we study some properties of these nonclassical states such as the statistics…

The ability of matter to be superposed at two different locations while being intrinsically connected by a quantum phase is among the most counterintuitive predictions of quantum physics. While such superpositions have been created for a…

Quantum Physics · Physics 2016-04-13 D. Kienzler , C. Flühmann , V. Negnevitsky , H. -Y. Lo , M. Marinelli , D. Nadlinger , J. P. Home

The states of a three-mode bosonic system with the restricted Hilbert space are discussed in the context of quantum entanglement and squeezing of quantum fluctuations. The states exhibiting non-zero tripartite entanglement are considered.…

Quantum Physics · Physics 2026-03-06 Joanna K. Kalaga , Jan Perina

We demonstrate the existence of entanglement between the spatial degrees of freedom of a system of harmonic oscillators placed in the noncommutative Moyal plane ("exotic oscillators") by computing the entanglement entropy as measured by the…

High Energy Physics - Theory · Physics 2021-06-02 S. K. Pal , P. Nandi , S. Ghosh , F. G. Scholtz , B. Chakraborty

We calculate the Wigner (quasi)probability distribution function of the quantum optical elliptical vortex (QEV), generated by coupling squeezed vacuum states of two modes. The coupling between the two modes is performed by using beam…

Quantum Physics · Physics 2011-04-04 Abir Bandyopadhyay , Shashi Prabhakar , R. P. Singh

We examine the quantum states produced through parametric amplification with internal quantum noise. The internal diffusion arises by coupling both modes of light to a reservoir for the duration of the interaction time. The Wigner function…

Quantum Physics · Physics 2009-11-10 Sonja Daffer , Krzysztof Wodkiewicz , John K. McIver

Recent demonstrations of squeezing generation using Traveling Wave Parametric Amplifiers (TWPAs) have opened the way for the application of broadband microwave squeezing in quantum sensing, quantum-enhanced detection, and…

We study an optomechanical system for the purpose of generating a nonclassical mechanical state when a mechanical oscillator is quadratically coupled to a single-mode cavity field driven by a squeezed optical field. The system corresponds…

Quantum Physics · Physics 2018-10-17 Jae Hoon Lee , Junho Suh , Hyojun Seok

Coupled optical cavities, which support normal modes, play a critical role in optical filtering, sensing, slow-light generation, and quantum state manipulation. Recent theoretical work has proposed incorporating nonlinear materials into…

We study the measurement-induced non-Gaussian operation on the single- and two-mode \textit{Gaussian} squeezed vacuum states with beam splitters and on-off type photon detectors, with which \textit{mixed non-Gaussian} states are generally…

Quantum Physics · Physics 2009-11-11 Akira Kitagawa , Masahiro Takeoka , Kentaro Wakui , Masahide Sasaki

As a natural extension of Fan's paper (arXiv: 0903.1769vl [quant-ph]) by employing the formula of operators' Weyl ordering expansion and the bipartite entangled state representation we find new two-fold complex integration transformation…

Quantum Physics · Physics 2015-05-14 Hong-yi Fan , Hong-chun Yuan

We present a scheme for generating and manipulating three-mode squeezed states with genuine tripartite entanglement by injecting single-mode squeezed light into an array of coupled optical waveguides. We explore the possibility to…

Quantum Physics · Physics 2019-08-29 S. Rojas-Rojas , E. Barriga , C. Muñoz , P. Solano , C. Hermann-Avigliano

Continuous variable remote state preparation and teleportation are analyzed using Wigner functions in phase space. We suggest a remote squeezed state preparation scheme between two parties sharing an entangled twin beam, where homodyne…

Quantum Physics · Physics 2009-11-07 Matteo G. A. Paris , Mary Cola , Rodolfo Bonifacio
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