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We construct an explicit Wigner function for N-mode squeezed state. Based on a previous observation that the Wigner function describes correlations in the joint measurement of the phase-space displaced parity operator, we investigate the…

量子物理 · 物理学 2009-11-10 Chunfeng Wu , Jing-Ling Chen , L. C. Kwek , C. H. Oh , Kang Xue

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…

量子物理 · 物理学 2015-05-14 Faisal A. A. El-Orany , Azeddine Messikh , Gharib S. Mahmoud , Wahiddin M. R. B

Violation of Bell inequality is a prominent detection method for quantum correlations present in composite quantum systems, both in finite and infinite dimensions. We investigate the consequence on the violation of local realism based on…

量子物理 · 物理学 2018-12-05 Saptarshi Roy , Titas Chanda , Tamoghna Das , Aditi Sen De , Ujjwal Sen

In a 3-wave mixing process occurring in some nonlinear optical medium when }$a_{1}^{\dagger}${\small mode interacts with both }$a_{2}^{\dagger}% ${\small mode and }$a_{3}^{\dagger}${\small mode, we theoretically study the squeezing effect…

量子物理 · 物理学 2010-09-15 Xue-xiang Xu , Hong-yi Fan , Li-yun Hu , Hong-chun Yuan

The connection between quantum optical nonclassicality and the violation of Bell's inequalities is explored. Bell type inequalities for the electromagnetic field are formulated for general states of quantised radiation and their violation…

量子物理 · 物理学 2009-10-31 Arvind , N. Mukunda

We analyze effects of squeezing upon superpositions of coherent states (SCSs) and entangled coherent states (ECSs) for Bell-inequality tests. We find that external squeezing can always increase the degrees of Bell violations, if the…

量子物理 · 物理学 2010-03-17 Chang-Woo Lee , Hyunseok Jeong

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…

量子物理 · 物理学 2009-11-13 Li-yun Hu , Hong-yi Fan

We compare the lower and higher order non-classicality of a class of the photon-added Bell-type entangled coherent states (PBECS) got from Bell-type entangled coherent states using creation operators. We obtained lower and higher order…

量子物理 · 物理学 2023-05-30 Deepak , Arpita Chatterjee

We investigate the quantum properties of superpositions of oppositely squeezed states, which can be regarded as Schrodinger cat states. Compared with conventional coherent-state cat states, these states exhibit distinct photon-number…

量子物理 · 物理学 2025-11-06 Hiroo Azuma , William J. Munro , Kae Nemoto

Bell's inequality for continuous-variable bipartite systems is studied. The inequality is expressed in terms of pseudo-spin operators and quantum expectation values are calculated for generic two-mode squeezed states characterized by a…

量子物理 · 物理学 2016-08-24 Jerome Martin , Vincent Vennin

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…

We analyze the properties and dynamics of generalized squeezed states. We find that, in stark contrast to displacement and two-photon squeezing, higher-order squeezing leads to oscillatory dynamics. The state is squeezed in the initial…

量子物理 · 物理学 2025-08-25 Sahel Ashhab , Mohammad Ayyash

In this paper, we study some quantum properties of a superposition of displaced squeezed two-mode vacuum and single-photon states, such as the second-order correlation function, the Cauchy-Schwartz inequality, quadrature squeezing,…

量子物理 · 物理学 2009-11-13 Faisal A. A. El-Orany , A-S. F. Obada , Zafer M. Asker , J. Perina

We generalize Bell's inequalities to biparty systems with continuous quantum variables. This is achieved by introducing the Bell operator in perfect analogy to the usual spin-1/2 systems. It is then demonstrated that two-mode squeezed…

量子物理 · 物理学 2009-11-07 Zeng-Bing Chen , Jian-Wei Pan , Guang Hou , Yong-De Zhang

A closed form expression for the higher-power coherent states (eigenstates of $a^{j}$) is given. The cases j=3,4 are discussed in detail, including the time-evolution of the probability densities. These are compared to the case j=2, the…

量子物理 · 物理学 2016-09-08 Michael Martin Nieto , D. Rodney Truax

We explore squeezed coherent states of a 3-dimensional generalized isotonic oscillator whose radial part is the newly introduced generalized isotonic oscillator whose bound state solutions have been shown to admit the recently discovered…

量子物理 · 物理学 2015-06-12 V. Chithiika Ruby , S. Karthiga , M. Senthilvelan

We present a phase space formalism to evaluate Bell inequality violations in continuous variable systems. By doing so we can generalize previous analyses (which have dealt only with pure states) to arbitrary mixed states. We leverage these…

量子物理 · 物理学 2025-01-09 Gurpahul Singh , Kelly Wurtz , Eduardo Martín-Martínez

We present an operator theoretic side of the story of squeezed states regardless the order of squeezing. For low order, that is for displacement (order 1) and squeeze (order 2) operators, we bring back to consciousness what is know or…

数学物理 · 物理学 2014-10-24 K. Gorska , A. Horzela , F. H. Szafraniec

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.…

量子物理 · 物理学 2026-03-06 Joanna K. Kalaga , Jan Perina

We study the coherent state and two-mode squeezed state in the q-deformed Pegg-Barnett(PB) formalism. We show that when the truncation of the Fock space S is large enough, the phase properties of the q-deformed PB coherent state approach…

数学物理 · 物理学 2012-12-11 Yidan Wang , Leong Chuan Kwek
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