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We consider the generation of Schr{\"o}dinger cat states using a quantum measurement-induced logical gate where entanglement between the input state of the target oscillator and the Fock state of the ancillary system produced by the quantum…

Quantum Physics · Physics 2025-07-16 N. G. Veselkova , Roman Goncharov , Alexei D. Kiselev

Schr\"odinger cat states, quantum superpositions of macroscopically distinct classical states, are an important resource for quantum communication, quantum metrology and quantum computation. Especially, cat states in a phase space protected…

Quantum Physics · Physics 2023-08-29 X. L. He , Yong Lu , D. Q. Bao , Hang Xue , W. B. Jiang , Zhen Wang , A. F. Roudsari , Per Delsing , J. S. Tsai , Z. R. Lin

The generation of continuous-variable multipartite entangled states is important for several protocols of quantum information processing and communication, such as one-way quantum computation or controlled dense coding. In this article we…

Nonlinear Schr\"odinger equation, complemented by a confining potential, possesses a discrete set of stationary solutions. These are called coherent modes, since the nonlinear Schr\"odinger equation describes coherent states. Such modes are…

Condensed Matter · Physics 2009-11-07 V. I. Yukalov , E. P. Yukalova

We consider a family of continuous variable (CV) states being a superposition of displaced number states with equal modulo but opposite in sign displacement amplitudes. Either an even or odd CV state is mixed with a delocalized photon at a…

Quantum Physics · Physics 2020-08-10 Evgeny V. Mikheev , Sergey A. Podoshvedov

We construct the coherent states of general order, $m$ for the ladder operators, $c(m)$ and $c^\dagger(m)$, which act on rational deformations of the harmonic oscillator. The position wavefunctions of the eigenvectors involve type III…

Mathematical Physics · Physics 2019-02-18 Scott E. Hoffmann , Véronique Hussin , Ian Marquette , Yao-Zhong Zhang

We propose a scheme to prepare optical Schr\"odinger-cat states in a traveling wave setting. Two states are similarly prepared via the self-Kerr effect and after mixing them, one mode is measured by homodyne detection. In the other mode a…

Quantum Physics · Physics 2015-11-23 P. Adam , Z. Darázs , T. Kiss , M. Mechler

The complex geometry underlying the Schr\"odinger dynamics of coherent states for non-Hermitian Hamiltonians is investigated. In particular two seemingly contradictory approaches are compared: (i) a complex WKB formalism, for which the…

Mathematical Physics · Physics 2012-07-12 Eva-Maria Graefe , Roman Schubert

Parity-time (PT ) symmetric systems are gain-loss systems whose dynamics are governed by non-Hermitian Hamiltonians with degeneracies at exceptional-points (EPs) and has been studied in various photonic, electrical, mechanical systems, and…

Quantum Physics · Physics 2024-04-25 Yuetao Chen , Shoukang Chang , Shaoyan Gao

We consider a weakly interacting coherently coupled Bose-Einstein condensate in a double-well potential. We show by means of stochastic simulations that the system could possibly be driven to an entangled macroscopic superposition state or…

Statistical Mechanics · Physics 2022-09-21 J. Ruostekoski

Synchronization of weakly-coupled non-linear oscillators is a ubiquitous phenomenon that has been observed across the natural sciences. We study the dynamics of optomechanical arrays - networks of mechanically compliant structures that…

Quantum Physics · Physics 2020-02-27 Karl Pelka , Vittorio Peano , André Xuereb

We propose a scheme to generate macroscopic Schr\"odinger-cat states in a quantum harmonic oscillator (electromagnetic field or mechanical resonator) coupled to a quantum bit (two-level system) via a conditional displacement mechanism. By…

Quantum Physics · Physics 2016-03-29 Jie-Qiao Liao , Jin-Feng Huang , Lin Tian

We challenge the standard picture of decohering Schr\"odinger cat states as an ensemble average obeying a Lindblad master equation, brought about locally from an irreversible interaction with an environment. We generate self-consistent…

Quantum Physics · Physics 2026-01-21 Th. K. Mavrogordatos

When a superposition $(|\alpha>-|-\alpha>)$ of two coherent states with opposite phase falls upon a 50-50 beamsplitter, the resulting state is entangled. Remarkably, the amount of entanglement is exactly 1 ebit, irrespective of $\alpha$, as…

Quantum Physics · Physics 2009-11-06 S. J. van Enk , O. Hirota

We introduce a driven-dissipative two-mode bosonic system whose reservoir causes simultaneous loss of two photons in each mode and whose steady states are superpositions of pair-coherent/Barut-Girardello coherent states. We show how quantum…

The physics of intense laser-matter interactions is described by treating the light pulses classically, anticipating no need to access optical measurements beyond the classical limit. However, the quantum nature of the electromagnetic…

In this paper, we construct the coherent states for a system of an electron moving on plane in uniform external magnetic and electric fields. These coherent states are built in the context of both discrete and continuous spectra and satisfy…

Mathematical Physics · Physics 2021-12-21 Isiaka Aremua , Laure Gouba

The cat state is shown to `store' a single photon through the superposition of its orthogonal counterpart with itself, and an excited oscillator state. Photon addition leads to a $\pi $ phase shift at origin in the observed phase space…

Quantum Physics · Physics 2021-03-25 Arman , Gargi Tyagi , Prasanta K. Panigrahi

The fundamental properties of recently introduced stretched coherent states are investigated. It has been shown that stretched coherent states retain the fundamental properties of standard coherent states and generalize the resolution of…

Quantum Physics · Physics 2023-02-16 Nick Laskin

The multiphoton coherent states, a generalization to coherent sates, are derived for electrons in bilayer graphene placed in a constant homogeneous magnetic field which is orthogonal to the bilayer surface. For that purpose a generalized…

Quantum Physics · Physics 2023-04-05 David J. Fernández C. , Dennis I. Martínez-Moreno
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