Generalized Schrödinger Cat States And Their Classical Emulation

Abstract

We demonstrate that superpositions of coherent states and displaced Fock states, also referred to as generalized Schrödinger cat states, can be generated by application of a deformed Glauber displacement operator on number states, coherent states, and displaced Fock states. Based on such a deformed displacement operator we introduce a deformed version of the so-called Glauber photonic lattices. These novel lattices are endowed with alternating positive and negative coupling coefficients and give rise to classical analogs of Schrödinger cat states. Finally, we show that the analytic propagator of these new Glauber-Fock arrays explicitly contains the Wigner operator opening the possibility to emulate Wigner functions of the quantum harmonic oscillator in the classical domain.

Publication Date

5-11-2016

Publication Title

Physical Review A

Volume

93

Issue

5

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1103/PhysRevA.93.053815

Socpus ID

84969754426 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/84969754426

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