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We construct the coherent states and Schr\"odinger cat states associated with new types of ladder operators for a particular case of a rationally extended harmonic oscillator involving type III Hermite exceptional orthogonal polynomials. In…

数学物理 · 物理学 2018-02-06 Scott E. Hoffmann , Véronique Hussin , Ian Marquette , Yao-Zhong Zhang

We constructed formal coherent states for an asymmetric harmonic oscillator, where the asymmetry parameter is the square root of the ratio of spring constants. Although these states are constructed based on both Glauber's and Perelomov's…

量子物理 · 物理学 2024-06-07 G. Chadzitaskos

We have reconstructed the quantum state of optical pulses containing single photons using the method of phase-randomized pulsed optical homodyne tomography. The single-photon Fock state |1> was prepared using conditional measurements on…

量子物理 · 物理学 2009-11-07 A. I. Lvovsky , H. Hansen , T. Aichele , O. Benson , J. Mlynek , S. Schiller

We experimentally demonstrate the generation of multi-photon Fock states with up to three photons in well-defined spatial-temporal modes synchronized with a classical clock. The states are characterized using quantum optical homodyne…

量子物理 · 物理学 2013-02-27 Merlin Cooper , Laura J. Wright , Christoph Söller , Brian J. Smith

Following the lines of the recent papers [J. Phys. A: Math. Theor. 44, 495201 (2012); Eur. Phys. J. D 67, 179 (2013)], we construct here a new class of generalized coherent states related to the Landau levels, which can be used as the…

量子物理 · 物理学 2014-04-17 A. Dehghani , B. Mojaveri

While dissipation is widely considered as being harmful for quantum coherence, it can, when properly engineered, lead to the stabilization of non-trivial pure quantum states. We propose a scheme for continuous generation and stabilization…

量子物理 · 物理学 2015-01-14 Ananda Roy , Zaki Leghtas , A. Douglas Stone , Michel Devoret , Mazyar Mirrahimi

Defining a computational basis of pseudo-number states, we interpret a coherent state of large amplitude, $|\alpha|\gg\frac{d}{2\pi}$, as a qudit --- a $d$-level quantum system --- in a state that is an even superposition of $d$…

量子物理 · 物理学 2010-12-30 Jaewan Kim , Juhui Lee , Se-Wan Ji , Hyunchul Nha , Petr M. Anisimov , Jonathan P. Dowling

We introduce new generalized $q$-deformed coherent states ($q$-CS) by replacing the $q$-factorial of $[n]_q!$ in the series expansion of the classical $q$-CS by the generalized factorial $x_n^{q,\alpha}!$ where $x_n^{q,\alpha}=(1+\alpha…

数学物理 · 物理学 2022-12-29 Othmane El Moize , Zouhaïr Mouayn , Khalid Ahbli

We theoretically introduce a new kind of non-Gaussian state-----Laguerre polynomial excited coherent states by using the multiphoton catalysis which actually can be considered as a block comprising photon number operator. It is found that…

量子物理 · 物理学 2015-12-31 Li-Yun Hu , Jia-Ni Wu , Zeyang Liao , M. S. Zubairy

We investigate an optical scheme to conditionally engineer quantum states using a beam splitter, homodyne detection and a squeezed vacuum as an ancillar state. This scheme is efficient in producing non-Gaussian quantum states such as…

States which minimize the Schr\"odinger--Robertson uncertainty relation are constructed as eigenstates of an operator which is a element of the $h(1) \oplus \su(2)$ algebra. The relations with supercoherent and supersqueezed states of the…

数学物理 · 物理学 2007-05-23 Nibaldo Alvarez-Moraga , Veronique Hussin

We show that the two-photon Jaynes-Cummings model, feasible of experimental realization in cavity or ion-trap quantum electrodynamics, can approximately produce nonlinear coherent states of the field. We introduce these nonlinear coherent…

量子物理 · 物理学 2015-12-18 I. Ramos Prieto , B. M. Rodríguez-Lara , H. M. Moya-Cessa

Invariant creation and annihilation operators and related Fock states and coherent states are built up for the system of nonstationary fermionic forced oscillator.

量子物理 · 物理学 2015-05-14 O. Cherbal , M. Drir , M. Maamache , D. A. Trifonov

Fock states with a well-defined number of photons in an oscillator have shown a wide range of applications in quantum information science. Nonetheless, their usefulness has been marred by single and multiple photon losses due to unavoidable…

Photon subtraction and addition are essential non-Gaussian processes in quantum optics, where conventional methods using linear optics and number-resolving detection often suffer from low success probability. Here, we introduce the concept…

量子物理 · 物理学 2025-12-11 Haoyuan Luo , Parth S. Shah , Frank Yang , Mohammad Mirhosseini , Sahand Mahmoodian

A regular coherent state (CS) is a special type of quantum state for boson particles placed in a single site. The defining feature of the CS is that it is an eigenmode of the annihilation operator. The construction easily generalizes to the…

量子物理 · 物理学 2024-12-10 A. Sowa , J. Fransson

Photon subtraction and addition are experimental means of generating non-Gaussian states from Gaussian states. Coherent subtraction or addition is a combination of photon subtractions or additions. The resultant states are quite general…

量子物理 · 物理学 2012-11-27 Li-zhen Jiang , Xiao-yu Chen , Tian-yu Ye , Fang-yu Hong

We use the spatial degree of freedom of light modes to construct optical analogues of generalized quantum coherent states for Hermite- and Laguerre-Gauss modes. Our optical analogues preserve the statistical properties of their quantum…

We construct coherent states using sequences of combinatorial numbers such as various binomial and trinomial numbers, and Bell and Catalan numbers. We show that these states satisfy the condition of the resolution of unity in a natural way.…

量子物理 · 物理学 2017-08-23 Karol A. Penson , Allan I Solomon

Weak cross-Kerr nonlinearities between single photons and coherent states are the basis for many applications in quantum information processing. These nonlinearities have so far mainly been discussed in terms of highly idealized single-mode…

量子物理 · 物理学 2015-05-27 Bing He , Qing Lin , Christoph Simon