Generalized Bloch equations for a strongly driven tunneling system

نویسندگان

  • Peter Neu
  • Jochen Rau
چکیده

Using the Robertson projection operator formalism, we derive generalized Bloch equations which describe the dynamics of a biased two-level tunneling system strongly driven by an external field and weakly coupled to a superOhmic heat bath. The generalized Bloch equations constitute a set of coupled nonlinear integro-differential equations. With their help we investigate the influence of phonons on the phenomenon of dynamical localization. PACS number(s): 05.30.-d, 05.40.+j, 32.80.-t, 62.65.+k Typeset using REVTEX Present address: Max-Planck-Institut für Physik komplexer Systeme, Bayreuther Straße 40 Haus 16, 01187 Dresden, Germany.

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

Bloch Waves and Bloch Bands of Bose-Einstein Condensates in Optical Lattices

Bose-Einstein condensates (BECs) in optical lattices have been attracting increasing attention from both theorists [1, 2, 3, 4, 5, 6, 7] and experimentalists [8, 9]. People are interested in how the interaction and coherence of this system affect the interesting phenomena observed with dilute cold atoms in optical lattices [10], such as LandauZener tunneling and Bloch oscillations. Recent studi...

متن کامل

Generalized H-differentiability for solving second order linear fuzzy differential ‎equations

In this paper, a new approach for solving the second order fuzzy differential equations (FDE) with fuzzy initial value, under strongly generalized H-differentiability is presented. Solving first order fuzzy differential equations by extending 1-cut solution of the original problem and solving fuzzy integro-differential equations has been investigated by some authors (see for example cite{darabi...

متن کامل

Quasi-spin Model for Macroscopic Quantum Tunnelling between Two Coupled Bose-Einstein Condensates

The system of two coupled Bose-Einstein condensates is mapped onto a uniaxial spin with an applied magnetic field. The mean-field interaction, the coupling and the asymmetry or the detuning correspond to the anisotropy, the transverse field, and the longitudinal field, respectively. A generalized Bloch equation is derived. In the low barrier limit for the quasi-spin model, the tunneling rate is...

متن کامل

Essential norm of generalized composition operators from weighted Dirichlet or Bloch type spaces to Q_K type spaces

In this paper we obtain lower and upper estimates for the essential norms of generalized composition operators from weighted Dirichlet spaces or Bloch type spaces to $Q_K$ type spaces.

متن کامل

BBGKY-Approach to non{Markovian Semiconductor Bloch Equations

A density operator approach to generalized semiconductor Bloch equations (SBE) for one-time observables which includes carrier±carrier scattering effects is presented. The theoretical concept is based upon the quantum generalization of the BBGKY hierarchy for the reduced density operators. The advantage of our method is its simplicity and transparence ± to a large extent, derivations and physic...

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 1996