ویژگیهای غیرکلاسیکی حالت‌ دوجمله‌ای در حرکت لخت و شتابدار

نوع مقاله : مقاله پژوهشی کامل

نویسندگان

گروه علوم مهندسی و فیزیک، مرکز آموزش عالی فنی و مهندسی بوئین زهرا، بوئین زهرا، قزوین، ایران

چکیده

در این مقاله ویژگیهای غیرکلاسیکی حالت دوجمله‌ای در سامانه‌ای با حرکت شتابدار مورد بررسی قرار گرفته است. حالت دوجمله‌ای برهمنهی‌ای از حالتهای عددی با ضرایب بسط دوجمله‌ای است و در چارچوب لخت دارای ویژگیهای غیرکلاسیکی است. در حرکت شتابدار، طبق اثر اونرا، حالت خلاء ناظر شتابدار با ناظر لخت یکسان نیست. برای بررسی اثر اونرا بر ویژگیهای غیرکلاسیکی حالت دوجمله‌ای، چلاندگی، پارامتر مندل و سنجه فوگل از دید ناظر لخت و شتابدار بررسی شده است. نتایج نشان می‌دهد که با افزایش شتاب، چلاندگی با توجه به شرایط می‌تواند افزایش یا کاهش یابد. افزون بر این نشان داده شده است که در حالت سکون یا شتابدار، با افزایش تعداد جملات بسط حالت دوجمله‌ای، بر عمق و گستره چلاندگی افزوده می‌گردد. به همین ترتیب پارامتر مندل و سنجه فوگل نیز برای حرکت شتابدار محاسبه شده است و نتایج با حالت غیر شتابدار مقایسه شده است.

کلیدواژه‌ها

موضوعات


عنوان مقاله [English]

Nonclassical properties of binomial state in inertial and accelerated motion

نویسندگان [English]

  • Seyedeh Robabeh Miry
  • Fatemeh Ahmadi
Department of Engineering Sciences and Physics, Buein Zahra Technical University, Buein Zahra, Qazvin, Iran
چکیده [English]

In this article, we considered the effect of uniform acceleration on the quantum binomial state, which consists of a superposition of single-mode Fock states with binomial coefficients. In particular, we studied the nonclassical features of the quantum binomial state under Unruh effect. We obtained analytically various witnesses of nonclassicality such as squeezing, Mandel parameter, and Vogel’s criterion. We found that squeezing could be increased or decreased by the Unruh effect for different observers.  In addition, with the increase of the number of single-mode Fock states in the quantum binomial state, the squeezing increases. Moreover, we found the Mandel parameter and Vogel’s criterion which is a sufficient condition for the nonclassicality of the state and compared the results with the inertial observer.

کلیدواژه‌ها [English]

  • Binomial state
  • Unruh effect
  • Squeezing
  • Mandel parameter
  • Vogel’s criterion
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