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We construct Deformed Photon Added Nonlinear Coherent States (DPANCSs) by application of the deformed creation operator upon the Nonlinear Coherent States obtained as eigenstates of the deformed annihilation operator and by application of a…

Quantum Physics · Physics 2015-06-17 R. Román-Ancheyta , C. González Gutiérrez , J. Récamier

We construct nonlinear coherent states for the Susskind-Glogower operators by the application of the displacement operator on the vacuum state. We also construct nonlinear coherent states as eigenfunctions of a Hamiltonian constructed with…

The addition of a photon into the same mode as a coherent state produces a nonclassical state that has interesting features, including quadrature squeezing and a sub-Poissonian photon-number distribution. The squeezed nature of photon-added…

Quantum Physics · Physics 2020-10-23 J. T. Francis , M. S. Tame

A new scheme is proposed to design excited coherent states. where the states ${\beta}$,${\alpha}$ denote the Glauber two variable minimum uncertainty coherent states, which minimize minimum uncertainty conditions while carrier nonclassical…

Mathematical Physics · Physics 2014-04-22 B. Mojaveri , A. Dehghani

We introduce a set of coherent states which are associated with quantum systems governed by a trilinear boson Hamiltonian. These states are produced by the action of a nonunitary displacement operator on a reference state and can be…

Quantum Physics · Physics 2009-10-30 C. Brif

We emphasize some properties of coherent state groups, i.e. groups whose quotient with the stationary groups, are manifolds which admit a holomorphic embedding in a projective Hilbert space. We determine the differential action of the…

Differential Geometry · Mathematics 2007-05-23 S. Berceanu , A. Gheorghe

The states $|\alpha,m>$, defined as ${a^{\dagger}}^{m}|\alpha>$ up to a normalization constant and $m$ is a nonnegative integer, are shown to be the eigenstates of $f(\hat{n},m)\hat{a}$ where $f(\hat{n},m)$ is a nonlinear function of the…

Quantum Physics · Physics 2009-10-31 S. Sivakumar

A new kind of q-deformed charged coherent states is constructed in Fock space of two-mode q-boson system with su_{q}(2) covariance and a resolution of unity for these states is derived. We also present a simple way to obtain these coherent…

High Energy Physics - Theory · Physics 2009-11-10 Yun Li , Sicong Jing

Conventional Glauber coherent states (CS) can be defined in several equivalent ways, e.g., by displacing the vacuum or, explicitly, by their infinite Poissonian expansion in Fock states. It is well known that these definitions become…

Quantum Physics · Physics 2022-06-10 Adam Miranowicz , Malgorzata Paprzycka , Anirban Pathak , Franco Nori

Considering some important classes of generalized coherent states known in literature, we demonstrated that all of them can be created via conventional fashion, i.e. the "lowering operator eigen-state" and the "displacement operator"…

Quantum Physics · Physics 2007-05-23 R. Roknizadeh , M. K. Tavassoly

Adding excitations on a coherent state provides an effective way to observe nonclassical properties of radiation fields. Here we describe and analyse how to apply this concept to the motional state of a mechanical oscillator and present a…

Quantum Physics · Physics 2018-07-25 Jie Li , Simon Gröblacher , Shi-Yao Zhu , G. S. Agarwal

Recently, we have determined the spectrum and the wave functions of the Hamiltonian of a Landau particle with time-dependent mass and frequency undergoing the influence of a uniform time-dependent electric field[J. Math. Phys. 56, 072104…

Quantum Physics · Physics 2021-01-08 Latévi Mohamed Lawson , Komi Sodoga , Gabriel Y. H. Avossevou

We present a new mechanism that harnesses extremely weak Kerr-type nonlinearities in a single driven cavity to deterministically generate single photon Fock states, and more general photon-blockaded states. Our method is effective even for…

Quantum Physics · Physics 2023-08-15 Andrew Lingenfelter , David Roberts , A. A. Clerk

We construct a general state which is an eigenvector of the annihilation operator of the Generalized Heisenberg Algebra. We show for several systems, which are characterized by different energy spectra, that this general state satisfies the…

Mathematical Physics · Physics 2009-11-10 Y. Hassouni , E. M. F. Curado , M. A. Rego-Monteiro

We explicitly construct a Hamiltonian whose exact eigenfunctions are the generalized Laguerre functions. Moreover, we present the related raising and lowering operators. We investigate the corresponding coherent states by adopting the…

High Energy Physics - Theory · Physics 2009-11-07 Ahmed Jellal

Conditional addition of photons represents a crucial tool for optical quantum state engineering and it forms a fundamental building block of advanced quantum photonic devices. Here we report on experimental implementation of the conditional…

A general procedure for constructing coherent states, which are eigenstates of annihilation operators, related to quantum mechanical potential problems, is presented. These coherent states, by construction are not potential specific and…

Quantum Physics · Physics 2007-05-23 P. K. Panigrahi , T. Shreecharan , J. Banerji , V. Sundaram

The construction of a class of unitary operators generating linear superpositions of generalized coherent states from the ground state of a quantum harmonic oscillator is reported. Such a construction, based on the properties of a new ad…

Quantum Physics · Physics 2013-06-13 Antonino Messina , Gheorghe Draganescu

We develop an enhanced technique for characterizing quantum optical processes based on probing unknown quantum processes only with coherent states. Our method substantially improves the original proposal [M. Lobino et al., Science 322, 563…

Number state filtering in coherent states leads to sub-Poissonian photon statistics. These states are more suitable for phase estimation when compared with the coherent states. Nonclassicality of these states is quantified in terms of the…

Quantum Physics · Physics 2018-01-18 Nilakantha Meher , S. Sivakumar
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