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We investigate the effects of postselected von Neumann measurements on the nonclassical properties of pair coherent states (PCS). We calculated key quantum characteristics, such as squeezing, photon statistics, and entanglement between the…

Quantum Physics · Physics 2025-05-13 Yi-Fang Ren , Janarbek Yuanbek , Yusuf Turek

Coherent states $(CS)$ of the $SU(N)$ groups are constructed explicitly and their properties are investigated. They represent a nontrivial generalization of the spining $CS$ of the $SU(2)$ group. The $CS$ are parametrized by the points of…

High Energy Physics - Theory · Physics 2009-10-22 D. M. Gitman , A. L. Shelepin

Intermediate states interpolating coherent states and Pegg-Barnett phase states are investigated using the ladder operator approach. These states reduce to coherent and Pegg-Barnett phase states in two different limits. Statistical and…

Quantum Physics · Physics 2008-11-26 Yongzheng Zhang , Hongchen Fu , Allan I. Solomon

The generation of non-Gaussian quantum states is a key requirement for universal continuous-variable quantum information processing. We report the experimental generation of large-amplitude squeezed coherent-state superpositions (squeezed…

Quantum Physics · Physics 2026-01-15 Lucas Caron , Hector Simon , Hugo Basset , Romaric Journet , Rosa Tualle-Brouri

We have constructed coherent states for the higher derivative Pais-Uhlenbeck Oscillator. In the process we have suggested a novel way to construct coherent states for the oscillator having only negative energy levels. These coherent states…

Mathematical Physics · Physics 2015-06-05 Souvik Pramanik , Subir Ghosh

This work addresses a construction of a dual pair of nonlinear coherent states (NCS) in the context of changes of bases in the underlying Hilbert space for a model pertaining to the condensed matter physics, which obeys a $f$-deformed…

Mathematical Physics · Physics 2013-09-13 Isiaka Aremua , Mahouton Norbert Hounkonnou , Ezinvi Baloïtcha

Quantum non-Gaussian states are crucial for the fundamental understanding of non-linear bosonic systems and simultaneously advanced applications in quantum technologies. In many bosonic experiments the important quantum non-Gaussian feature…

Quantum Physics · Physics 2025-10-07 Jan Provazník , Petr Marek , Julien Laurat , Radim Filip

The convenience of coherent state representation is discussed from the viewpoint of what is in a broad sense called the measurement problem in quantum mechanics. Standard quantum theory in coherent state representation is intrinsically…

Quantum Physics · Physics 2008-02-03 Lajos Diosi

We investigate the superposition of coherent states, emphasizing quantum states with distinct Wigner phase-space features relevant to quantum information applications. In this study, we introduce generalized versions of the compass state,…

Quantum Physics · Physics 2025-08-26 Tan Hailin , Naeem Akhtar , Gao Xianlong

Wave packets for the Quantum Non-Linear Oscillator are considered in the Generalized Coherent State framerwork. To first order in the non-linearity parameter the Coherent State behaves very similarly to its classical counterpart. The…

Quantum Physics · Physics 2012-07-12 Subir Ghosh

We analyse some features of the class of discrete Wigner functions that was recently introduced by Gibbons et al. to represent quantum states of systems with power-of-prime dimensional Hilbert spaces [Phys. Rev. A 70, 062101 (2004)]. We…

Quantum Physics · Physics 2008-03-31 Cecilia Cormick , Juan Pablo Paz

The perturbative consistency of coherent states within interacting quantum field theory requires them to be altered beyond the simple non-squeezed form. Building on this point, we perform explicit construction of consistent squeezed…

High Energy Physics - Theory · Physics 2023-12-01 Lasha Berezhiani , Giordano Cintia , Michael Zantedeschi

Polarization coherent states (PCS) are considered as generalized coherent states of $SU(2)_p$ group of the polarization invariance of the light fields. The geometric phases of PCS are introduced in a way, analogous to that used in the…

Quantum Physics · Physics 2007-05-23 V. P. Karassiov , V. L. Derbov , S. I. Vinitsky , Olga M. Priyutova

The quadrature coherence scale (QCS) is a recently introduced measure that was shown to be an efficient witness of nonclassicality. It takes a simple form for pure and Gaussian states, but a general expression for mixed states tends to be…

Quantum Physics · Physics 2024-07-03 Anaelle Hertz , Aaron Z. Goldberg , Khabat Heshami

Exact coherent states in the Calogero-Sutherland models (of time-dependent parameters) which describe identical harmonic oscillators interacting through inverse-square potentials are constructed, in terms of the classical solutions of a…

Quantum Physics · Physics 2009-11-07 Dae-Yup Song , JeongHyeong Park

Coherent states of the two dimensional harmonic oscillator are constructed as superpositions of energy and angular momentum eigenstates. It is shown that these states are Gaussian wave-packets moving along a classical trajectory, with a…

Quantum Physics · Physics 2010-04-05 E. Colavita , S. Hacyan

We introduce and study the properties of a class of coherent states for the group SU(1,1) X SU(1,1) and derive explicit expressions for these using the Clebsch-Gordan algebra for the SU(1,1) group. We restrict ourselves to the discrete…

Quantum Physics · Physics 2007-05-23 Bindu A. Bambah , G. S. Agarwal

To quantify the effect of decoherence in quantum measurements, it is desirable to measure not merely the square modulus of the spatial wavefunction, but the entire density matrix, whose phases carry information about momentum and how pure…

Quantum Physics · Physics 2009-10-30 Max Tegmark

We discuss nonclassical properties of single-photon subtracted squeezed vacuum states in terms of the sub-Poissonian statistics and the negativity of the Wigner function. We derive a compact expression for the Wigner function from which we…

Quantum Physics · Physics 2016-08-08 Asoka Biswas , G. S. Agarwal

The dissipative dynamics of Gaussian squeezed states (GSS) and coherent superposition states (CSS) are analytically obtained and compared. Time scales for sustaining different quantum properties such as squeezing, negativity of the Wigner…

Quantum Physics · Physics 2009-11-13 L. A. M. Souza , M. C. Nemes , M. França Santos , J. G. Peixoto de Faria