Completeness and Nonclassicality of Coherent States for Generalized Oscillator Algebras
المؤلفون المشاركون
Zelaya, Kevin
Rosas-Ortiz, Oscar
Blanco-Garcia, Zurika
Cruz y Cruz, Sara
المصدر
Advances in Mathematical Physics
العدد
المجلد 2017، العدد 2017 (31 ديسمبر/كانون الأول 2017)، ص ص. 1-15، 15ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2017-12-25
دولة النشر
مصر
عدد الصفحات
15
التخصصات الرئيسية
الملخص EN
The purposes of this work are (1) to show that the appropriate generalizations of the oscillator algebra permit the construction of a wide set of nonlinear coherent states in unified form and (2) to clarify the likely contradiction between the nonclassical properties of such nonlinear coherent states and the possibility of finding a classical analog for them since they are P-represented by a delta function.
In (1) we prove that a class of nonlinear coherent states can be constructed to satisfy a closure relation that is expressed uniquely in terms of the Meijer G-function.
This property automatically defines the delta distribution as the P-representation of such states.
Then, in principle, there must be a classical analog for them.
Among other examples, we construct a family of nonlinear coherent states for a representation of the su(1,1) Lie algebra that is realized as a deformation of the oscillator algebra.
In (2), we use a beam splitter to show that the nonlinear coherent states exhibit properties like antibunching that prohibit a classical description for them.
We also show that these states lack second-order coherence.
That is, although the P-representation of the nonlinear coherent states is a delta function, they are not full coherent.
Therefore, the systems associated with the generalized oscillator algebras cannot be considered “classical” in the context of the quantum theory of optical coherence.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Zelaya, Kevin& Rosas-Ortiz, Oscar& Blanco-Garcia, Zurika& Cruz y Cruz, Sara. 2017. Completeness and Nonclassicality of Coherent States for Generalized Oscillator Algebras. Advances in Mathematical Physics،Vol. 2017, no. 2017, pp.1-15.
https://search.emarefa.net/detail/BIM-1123284
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Zelaya, Kevin…[et al.]. Completeness and Nonclassicality of Coherent States for Generalized Oscillator Algebras. Advances in Mathematical Physics No. 2017 (2017), pp.1-15.
https://search.emarefa.net/detail/BIM-1123284
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Zelaya, Kevin& Rosas-Ortiz, Oscar& Blanco-Garcia, Zurika& Cruz y Cruz, Sara. Completeness and Nonclassicality of Coherent States for Generalized Oscillator Algebras. Advances in Mathematical Physics. 2017. Vol. 2017, no. 2017, pp.1-15.
https://search.emarefa.net/detail/BIM-1123284
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1123284
قاعدة معامل التأثير والاستشهادات المرجعية العربي "ارسيف Arcif"
أضخم قاعدة بيانات عربية للاستشهادات المرجعية للمجلات العلمية المحكمة الصادرة في العالم العربي
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