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Generating “squeezed” superpositions of coherent states using photon addition and subtraction

2008/12/04 by Petr Marek, P. Marek, Hyunseok Jeong +2 · 5 citations
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.1103/physreva.78.063811

published as Phys. Rev. A 78, 063811 (2008) · 8 pages, 9 figures

openalex publication_date 2008/12/04 · arxiv created 2008/12/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study how photon addition and subtraction can be used to generate squeezed superpositions of coherent states (SSCSs) in free-traveling fields with high fidelities and large amplitudes. It is shown that an arbitrary N-photon subtraction results in the generation of a SSCS with nearly the perfect fidelity (F>0.999) regardless of the number of photons subtracted. In this case, the amplitude of the SSCS increases as the number of the subtracted photons gets larger. For example, two-photon subtraction from a squeezed vacuum state of 6.1\phantom\rule0.3em0exdB can generate a SSCS of \ensuremathα=1.26, while in the case of the four-photon subtraction a SSCS of a larger amplitude \ensuremathα=1.65 is obtained under the same condition. When a photon is subtracted from a squeezed vacuum state and another photon is added subsequently, a SSCS with a lower fidelity (F\ensuremath≈0.96) yet higher amplitude (\ensuremathα\ensuremath≈2) can be generated. We analyze some experimental imperfections including inefficiency of the detector used for the photon subtraction.

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