Structure of Rabi Oscillations in the Strong Coupling Regime

نویسنده

  • Kazuyuki FUJII
چکیده

In this paper we generalize the Jaynes–Cummings Hamiltonian by making use of some operators based on Lie algebras su(1,1) and su(2), and study a mathematical structure of Rabi floppings of these models in the strong coupling regime. We show that Rabi frequencies are given by matrix elements of generalized coherent operators (quant–ph/0202081) under the rotating–wave approximation. In the first half we make a general review of coherent operators and generalized coherent ones based on Lie algebras su(1,1) and su(2). In the latter half we carry out a detailed examination of Frasca (quant–ph/0111134) and generalize his method, and moreover present some related problems. Lastly we make a brief comment on application to Holonomic Quantum Computation. ∗E-mail address : [email protected]

برای دانلود رایگان 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

0 Persistent Rabi oscillations probed via low - frequency noise correlation

The qubit Rabi oscillations are known to be non-decaying (though with a fluctuating phase) if the qubit is continuously monitored in the weak-coupling regime. In this paper we propose an experiment to demonstrate these persistent Rabi oscillations via low-frequency noise correlation. The idea is to measure a qubit by two detectors, biased stroboscopically at the Rabi frequency. The low-frequenc...

متن کامل

Persistent Rabi oscillations probed via low-frequency noise correlation

The qubit Rabi oscillations are known to be nondecaying (though with a fluctuating phase) if the qubit is continuously monitored in the weak-coupling regime. In this Rapid Communication we propose an experiment to demonstrate these persistent Rabi oscillations via low-frequency noise correlation. The idea is to measure a qubit by two detectors, biased stroboscopically at the Rabi frequency. The...

متن کامل

Weak-coupling-like time evolution of driven four-level systems in the strong-coupling regime

It is shown analytically that there exists a natural basis in terms of which the nonperturbative time evolution of an important class of driven four-level systems in the strong-coupling regime decouples and essentially reduces to the corresponding time evolution in the weak-field regime, exhibiting simple Rabi oscillations between the different relevant quantum states. The predictions of the mo...

متن کامل

Rabi oscillations and macroscopic quantum superposition states

A two-level atom interacting with a single radiation mode is considered, without the rotating-wave approximation, in the strong coupling regime. It is shown that, in agreement with the recent results on Rabi oscillations in a Josephson junction (Y. Nakamura, Yu. A. Pashkin and J. S. Tsai, Phys. Rev. Lett. 87, 246601 (2001)), the Rabi frequency is indeed proportional to first kind integer order ...

متن کامل

A N–Level System Interacting with Single Radiation Mode and Multi Cat States of Schrödinger in the Strong Coupling Regime

In this paper we consider some (generalized) models which deal with n–level atom interacting with a single radiation mode and study a general structure of Rabi floppings of these generalized ones in the strong coupling regime. To solve these models we introduce multi cat states of Schrödinger in our terminology and extend the result in (quant–ph/0203135) which Rabi frequencies are given by matr...

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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2001