Photon statistics of multimode even and odd coherent light

Ansari, Nadeem A.; Man’ko, Vladimir I.

doi:10.1103/physreva.50.1942

Cited by 105 publications

(62 citation statements)

References 18 publications

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“…As an example of creating an entangled coherent state in the vibrational degrees of freedom of a single trapped ion in two dimensions, consider the interaction Hamiltonian [126] (44) for |e the excited state of the atom. The entangled coherent state can be created post-selectively by measuring the electronic state of the ion.…”

Section: Motional Degrees Of Freedommentioning

confidence: 99%

Review of entangled coherent states

Sanders¹

2012

J. Phys. A: Math. Theor.

215

167

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We review entangled coherent state research since its first implicit use in 1967 to the present. Entangled coherent states are important to quantum superselection principles, quantum information processing, quantum optics, and mathematical physics. Despite their inherent fragility they have produced in a conditional propagating-wave quantum optics realization. Fundamentally the states are intriguing because they are entanglements of the coherent states, which are in a sense the most classical of all states of a dynamical system. Contents

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Section: Motional Degrees Of Freedommentioning

confidence: 99%

Review of entangled coherent states

Sanders¹

2012

J. Phys. A: Math. Theor.

215

167

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“…For example, it was shown [9] that entangled coherent states, which can be a superposition of two-mode coherent states [9,10] can be produced using the nonlinear Mach-Zehnder interferometer. These quantum states can be considered as a two(multi)-mode generalization of single-mode Schrödinger cat states [11]. A method to generate another type of two-mode Schrödinger cat states, which are known as SU(2) Schrödinger cat states, was proposed [13,14].…”

Section: Introductionmentioning

confidence: 99%

Generation of arbitrary two-dimensional motional states of a trapped ion

2002

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We present a scheme to generate an arbitrary two-dimensional quantum state of motion of a trapped ion. This proposal is based on a sequence of laser pulses, which are tuned appropriately to control transitions on the sidebands of two modes of vibration. Not more than (M + 1)(N + 1) laser pulses are needed to generate a pure state with a phonon number limit M and N.PACS number:42.50.Dv, 42.50.CtThe generation of nonclassical states was studied in the past theoretically and experimentally. The first significant advances were made in quantum optics by demonstrating antibunched light [1] and squeezed light [2]. Various optical schemes for generating Schrödinger cat states were studied [3], which led to an experimental realization in a quantized cavity field [4]. Several schemes were proposed to generate any single-mode quantum state of a cavity field [5,6,7] and traveling laser field [8]. Recently, possible ways of generating various two-mode entangled field states were proposed. For example, it was shown [9] that entangled coherent states, which can be a superposition of two-mode coherent states [9,10] can be produced using the nonlinear Mach-Zehnder interferometer. These quantum states can be considered as a two(multi)-mode generalization of single-mode Schrödinger cat states [11]. A method to generate another type of two-mode Schrödinger cat states, which are known as SU(2) Schrödinger cat states, was proposed [13,14]. These quantum states result when two different SU(2) coherent states [12,13,14] are superposed. It was also shown that two-mode entangled number states can be generated by using nonlinear optical interactions [15], which may then be used to obtain the maximum sensitivity in phase measurements set by the Heisenberg limit [16] . In general, however, an experimental realization of nonclassical field states is difficult, because the quantum coherence can be destroyed easily by the interaction with the environment. Recent advances in ion cooling and trapping have opened new prospects in nonclassical state generation. An ion confined in an electromagnetic trap can be described approximately as a particle in a harmonic potential. Its center of mass (c.m.) exhibits 1

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“…There exist lots of proposal for generating these states (see for example [68,69]). The two mode Schrödinger cat states were considered in [70]. The Schrödinger cat states are found to be a resource for various practical applications.…”

Section: Superposition Of Two-mode Nonlinear Coherent Statesmentioning

confidence: 99%