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Hole burning in the Fock space of optical fields
Affiliation:1. School of Physics and Information Technology, Shaanxi Normal University, Xi''an 710062, China;2. Department of Physics and Astronomy, Texas A&M University, College Station, TX 77843, USA;3. Teaching and Research Section of Physics, Foundation Department, Engineering University of CAPF, Xi''an 710086, China;1. Department of Electrical and Systems Engineering, Washington University in St. Louis, St. Louis, MO 63130, USA;2. School of Applied and Engineering Physics, Cornell University, Ithaca, NY 14853, USA;1. Institute of Technology in Polymers and Nanotechnology - ITPN, UBA-CONICET, FIUBA, FADU, University of Buenos Aires, Intendente Güiraldes S/n, Pabellón III, Ciudad Universitaria (C1428EGA), Buenos Aires, Argentina;2. Departamento de Física y Matemáticas, Universidad Autónoma de Manizales, Antigua Estación del Ferrocarril, Manizales, CP, 170001, Colombia;3. Institute of Technology and Engineering Sciences “Hilario Fernández Long” – INTECIN, UBA-CONICET, FIUBA, University of Buenos Aires, Paseo Colón 850, Buenos Aires, Argentina;4. Instituto de Física ‘Gleb Wataghin’, Universidade Estadual de Campinas, UNICAMP, Campinas, São Paulo, Brazil;1. Department of Accounting, Lacy School of Business, Butler University, Indianapolis, IN 46208, United States;2. Department of Finance, Lacy School of Business, Butler University, Indianapolis, IN 46208, United States
Abstract:Hole burning in the Fock space of a quantized electromagnetic field amounts to the selective removal of one or more specific number states from the field, or equivalently, manipulating the photon probability distribution to vanish for certain photon numbers. Previous work has concentrated on creating such holes for cavity fields where the manipulation of the field is performed with injected pre-and post-selected atoms. In the present Letter we demonstrate a method to generate such states for optical fields using state reduction with a Mach–Zehnder interferometer containing a Kerr medium in one arm. The method is an extension of a previous proposal by one of us (CCG) for the generation of optical Schrödinger cat states [Phys. Rev. A 59 (1999) 4095].
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