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In this paper we study some basic quantum confinement effects through investigation of a deformed harmonic oscillator algebra. We show that spatial confinement effects on a quantum harmonic oscillator can be represented by a deformation…

Quantum Physics · Physics 2011-12-13 M. Bagheri Harouni , R. Roknizadeh , M. H. Naderi

Extending earlier work(*), we examine the deformation of the canonical symplectic structure in a cotangent bundle $T^\star(\Q)$ by additional terms implying the Poisson non-commutativity of both configuration and momentum variables. In this…

Mathematical Physics · Physics 2008-11-26 F. J. Vanhecke , C. Sigaud , A. R. da Silva

One examines putative corrections to the Bell operator due to the noncommutativity in the phase-space. Starting from a Gaussian squeezed envelop whose time evolution is driven by commutative (standard quantum mechanics) and noncommutative…

We study the decay of a prepared state into non-flat continuum. We find that the survival probability $P(t)$ might exhibit either stretched-exponential or power-law decay, depending on non-universal features of the model. Still there is a…

Quantum Physics · Physics 2015-05-13 James Aisenberg , Itamar Sela , Tsampikos Kottos , Doron Cohen , Alex Elgart

Quantum light generated in non-degenerate squeezers has many applications such as sub-shot-noise transmission measurements to maximise the information extracted by one photon or quantum illumination to increase the probability in target…

Quantum Physics · Physics 2020-11-26 Stefan Frick , Alex McMillan , John Rarity

Physical systems usually exhibit quantum behavior, such as superpositions and entanglement, only when they are sufficiently decoupled from a lossy environment. Paradoxically, a specially engineered interaction with the environment can…

Quantumness and separability criteria for continuous variable systems are discussed for the case of a noncommutative (NC) phase-space. In particular, the quantum nature and the entanglement configuration of NC two-mode Gaussian states are…

Quantum Physics · Physics 2015-10-13 Alex E. Bernardini , Catarina Bastos , Orfeu Bertolami , Nuno C. Dias , João N. Prata

In this paper we discuss the quantum properties for superposition of squeezed displaced number states against multiphoton Jaynes-Cummings model (JCM). In particular, we investigate atomic inversion, photon-number distribution, purity,…

Quantum Physics · Physics 2015-05-13 Faisal A A El-Orany , A-S Obada

Noise-biased qubits are a promising route toward significantly reducing the hardware overhead associated with quantum error correction. The squeezed cat code, a non-local encoding in phase space based on squeezed coherent states, is an…

Quantum Physics · Physics 2023-04-11 Timo Hillmann , Fernando Quijandría

We compare the geometrical and physical properties of the maths-type coherent states for $q>1$ with those of the same for $0 < q < 1$.

Quantum Physics · Physics 2009-11-10 C. Quesne , K. A. Penson , V. M. Tkachuk

A cat-state is formed as the steady-state solution for the signal mode of an ideal, degenerate parametric oscillator, in the limit of negligible single-photon signal loss. In the presence of the signal loss, this is no longer true over…

Quantum Physics · Physics 2020-12-01 R. Y. Teh , F. -X. Sun , R. E. S. Polkinghorne , Q. Y. He , Q. Gong , P. D. Drummond , M. D. Reid

In this paper we study the quantum phase properties of {\it "nonlinear coherent states"} and {\it "solvable quantum systems with discrete spectra"} using the Pegg-Barnett formalism in a unified approach. The presented procedure will then be…

Quantum Physics · Physics 2010-11-11 G. R. Honarasa , M. K. Tavassoly , M. Hatami

We analyze general aspects of exchangeable quantum stochastic processes, as well as some concrete cases relevant for several applications to Quantum Physics and Probability. We establish that there is a one-to-one correspondence between…

Probability · Mathematics 2013-10-08 Vito Crismale , Francesco Fidaleo

The q-deformed harmonic oscillator is studied in the light of q-deformed phase space variables. This allows a formulation of the corresponding Hamiltonian in terms of the ordinary canonical variables $x$ and $p$. The spectrum shows…

High Energy Physics - Theory · Physics 2008-02-03 A. Lorek , A. Ruffing , J. Wess

The Schr\"odinger cat state plays a crucial role in quantum theory, and has important fundamental as well as technological implications, ranging from quantum measurement theory to quantum computers. The power of the potential implications…

Quantum Physics · Physics 2013-07-12 Utkarsh Mishra , Aditi Sen De , Ujjwal Sen

By application of the general twist-induced star-deformation procedure we translate second quantization of a system of bosons/fermions on a symmetric spacetime in a non-commutative language. The procedure deforms in a coordinated way the…

High Energy Physics - Theory · Physics 2020-05-08 Gaetano Fiore

Some fundamental aspects related with the construction of Robertson-Schr\"odinger like uncertainty principle inequalities are reported in order to provide an overall description of quantumness, separability and nonlocality of quantum…

Quantum Physics · Physics 2018-03-14 Orfeu Bertolami , Alex E. Bernardini , Pedro Leal

A phase-space formulation of non-stationary nonlinear dynamics including both Hamiltonian (e.g., quantum-cosmological) and dissipative (e.g., dissipative laser) systems reveals an unexpected affinity between seemly different branches of…

Pattern Formation and Solitons · Physics 2019-05-30 Vladimir L. Kalashnikov , Sergey L. Cherkas

We discuss general properties of the equilibrium state of parametric down-conversion in superconducting quantum circuits with detunings and Kerr anharmonicities, in the strongly nonlinear regime. By comparing moments of the steady state and…

Quantum Physics · Physics 2019-09-24 Feng-Xiao Sun , Qiongyi He , Qihuang Gong , Run Yan Teh , Margaret D. Reid , Peter D. Drummond

We propose to use the antisqueezing-enhanced non-Gaussian Schr\"odinger cat quantum states of the probing light for the task of detection of a given phase shift in optical interferometers. We show that the antisqueezing allows to increase…

Quantum Physics · Physics 2026-03-03 V. L. Gorshenin , K. D. Dyadkin , S. D. Chikalkin
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