Dynamical Stability and Quantum Chaos of Ions in a Linear Trap

نویسنده

  • G. P. Berman
چکیده

The realization of a paradigm chaotic system, namely the harmonically driven oscillator, in the quantum domain using cold trapped ions driven by lasers is theoretically investigated. The simplest characteristics of regular and chaotic dynamics are calculated. The possibilities of experimental realization are discussed. PACS numbers:42.50.Vk, 05.45.Mt, 32.80.Pj LA-UR-99-1217 Address correspondence to Dr. G.P. Berman, Theoretical Division T-13, MS B-213, Los Alamos National Laboratory, Los Alamos NM 87545, USA. Email [email protected].

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

جداسازی یون توسط دام چهار قطبی در حضور نیروی میراکننده

Dynamical behavior of particles in a Paul trap has been investigated by solving the set of differential equations considering the effect of damping force. Positions of the trapped ions as a function of time, ion trajectories and the phase space curves in the first stability region have been obtained in the presence of the damping force. The region of stability for r and z components as well as ...

متن کامل

CONTROL OF CHAOS IN A DRIVEN NON LINEAR DYNAMICAL SYSTEM

We present a numerical study of a one-dimensional version of the Burridge-Knopoff model [16] of N-site chain of spring-blocks with stick-slip dynamics. Our numerical analysis and computer simulations lead to a set of different results corresponding to different boundary conditions. It is shown that we can convert a chaotic behaviour system to a highly ordered and periodic behaviour by making on...

متن کامل

Dynamical behavior and synchronization of chaotic chemical reactors model

In this paper, we discuss the dynamical properties of a chemical reactor model including Lyapunov exponents, bifurcation, stability of equilibrium and chaotic attractors as well as necessary conditions for this system to generate chaos. We study the synchronization of chemical reactors model via sliding mode control scheme. The stability of proposed method is proved by Barbalate’s lemma. Numeri...

متن کامل

محاسبه نواحی سوم, چهارم و پنجم پایداری در دام پاول

 The behavior of ions in a Paul trap has been investigated using numerical solution of the set of Mathieus differential equations. Afterwards, the trajectories of two typical ions such as H+ and 208Pb+ in the trap have been obtained using the fourth-order Runge-Kutta method. For specific dimensions of a Paul trap and a given frequency, the stability regions for separation of H+ and 2H+ ions hav...

متن کامل

Decisive Solution to a Long-standing Controversy in Paul-Trap Physics

The study of charged particles’ dynamics in a Paul trap is the foundation of its wide-ranging applications, including analyzing proteins, determining isotope ratios, and constructing a quantum computer. However, in the simplest case of two-particle dynamics, there remains a controversy on whether a two-ion planar crystal undergoes an order→chaos transition at a critical trap parameter value. Vi...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1999