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We calculate the cosmological complexity under the framework of scalar curvature perturbations for a K-essence model with constant potential. In particular, the squeezed quantum states are defined by acting a two-mode squeezed operator…

General Relativity and Quantum Cosmology · Physics 2021-02-26 Ai-chen Li , Xin-Fei Li , Ding-fang Zeng , Lei-Hua Liu

Squeezed states of light constitute an important nonclassical resource in the field of high-precision measurements, e.g. gravitational wave detection, as well as in the field of quantum information, e.g. for teleportation, quantum…

Quantum Physics · Physics 2015-05-14 Moritz Mehmet , Henning Vahlbruch , Nico Lastzka , Karsten Danzmann , Roman Schnabel

Quantum optics bridges esoteric notions of entanglement and superposition with practical applications like metrology and communication. Throughout, there is an interplay between information theoretic concepts such as entropy and physical…

Quantum Physics · Physics 2025-01-07 Anaelle Hertz , Noah Lupu-Gladstein , Khabat Heshami , Aaron Z. Goldberg

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…

Quantum Physics · Physics 2015-06-12 V. Chithiika Ruby , S. Karthiga , M. Senthilvelan

A deformed boson algebra is naturally introduced from studying quantum mechanics on noncommutative phase space in which both positions and momenta are noncommuting each other. Based on this algebra, corresponding intrinsic noncommutative…

Mathematical Physics · Physics 2009-04-03 Bing-Sheng Lin , Si-Cong Jing

Recent advances in quantum photonics have enabled increasingly robust protocols in optical phase estimation, achieving precisions beyond the standard quantum limit and approaching the Heisenberg limit. While intrinsic losses hinder the…

Bosonic two-mode squeezed states are paradigmatic entangled Gaussian states that have wide utility in quantum information and metrology. Here, we show that the basic structure of these states can be generalized to arbitrary bipartite…

Quantum Physics · Physics 2025-02-27 Mikhail Mamaev , Martin Koppenhöfer , Andrew Pocklington , Aashish A. Clerk

A new approach to the problem of measurement in quantum mechanics is proposed. In this approach, the process of measurement is described in the Heisenberg picture and divided into two stages. The first stage is to transduce the measured…

Quantum Physics · Physics 2007-05-23 Masanao Ozawa

The article explores a new formalism for describing motion in quantum mechanics. The construction is based on generalized coherent states with evolving fiducial vector. Weyl-Heisenberg coherent states are utilised to split quantum systems…

General Relativity and Quantum Cosmology · Physics 2020-09-10 Artur Miroszewski

Extended Schwinger's quantization procedure is used for constructing quantum mechanics on a manifold with a group structure. The considered manifold $M$ is a homogeneous Riemannian space with the given action of isometry transformation…

High Energy Physics - Theory · Physics 2009-01-07 N. Chepilko , A. Romanenko

Based on new experiments about the "macroscopic Schrodinger's cat state" etc., a self-consistent interpretation on quantum mechanics is presented from the new point of view combining physics, philosophy and mathematics together.

High Energy Physics - Phenomenology · Physics 2007-05-23 Guang-jiong Ni

The Morse potential quantum system is a realistic model for studying vibrations of atoms in a diatomic molecule. This system is very close to the harmonic oscillator one. We thus propose a construction of squeezed coherent states similar to…

Mathematical Physics · Physics 2010-10-19 M. Angelova , V. Hussin

In this semi-expository paper, we define certain Rawnsley-type coherent and squeezed states on an integral K\"ahler manifold (after possibly removing a set of measure zero) and show that they satisfy some properties which are akin to…

Differential Geometry · Mathematics 2022-04-12 Rukmini Dey , Kohinoor Ghosh

The research focused on enhancing the measurement accuracy through the use of non-Gaussian states has garnered increasing attention. In this study, we propose a scheme to input the coherent state mixed with photon-catalyzed squeezed vacuum…

Quantum Physics · Physics 2024-03-26 Zekun Zhao , Qingqian Kang , Huan Zhang , Teng Zhao , Cunjin Liu , Liyun Hu

The the over-complete eigenvector system of the operator Q^{-1}P (Q:position, P:momentum) which consists of the squeezed states |0; s, t > with various s and t are investigated from the viewpoint of the annihilation and creation relations…

Quantum Physics · Physics 2007-05-23 Fuminori Sakaguchi , Masahito Hayashi

This work describes coherent states for a physical system governed by a Hamiltonian operator, in two dimensional space, of spinless charged particles subject to a perpendicular magnetic field B, coupled with a harmonic potential. The…

Mathematical Physics · Physics 2015-07-21 Isiaka Aremua , Mahouton Norbert Hounkonnou , Ezinvi Baloïtcha

We show that a quantum state may be represented as the sum of a joint probability and a complex quantum modification term. The joint probability and the modification term can both be observed in successive projective measurements. The…

Quantum Physics · Physics 2007-11-21 Lars M. Johansen

Consider two free Hamiltonians for the same scalar field with two different masses. Wefind a squeeze operator which maps the ground state of one to the other. The operatoris described in both the Dirac and also the Schrodinger…

High Energy Physics - Theory · Physics 2019-10-09 Yao Zhou , Hui Liu , Jarah Evslin

The new process of quantum-injection into an optical parametric amplifier operating in entangled configuration is adopted to amplify into a large dimensionality spin 1/2 Hilbert space the quantum entanglement and superposition properties of…

Quantum Physics · Physics 2007-05-23 F. A. Bovino , F. De Martini , V. Mussi

The Wigner function was introduced as an attempt to describe quantum-mechanical fields with the tools inherited from classical statistical mechanics. In particular, it is widely used to describe the properties of radiation fields. In fact,…

Quantum Physics · Physics 2025-04-10 Juan Camilo López Carreño
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