Breakdown of chaos symmetry and intermittency in the double-well potential system

1986 ◽  
Vol 116 (6) ◽  
pp. 257-263 ◽  
Author(s):  
Hiroaki Ishii ◽  
Hirokazu Fujisaka ◽  
Masayoshi Inoue
2016 ◽  
Vol 14 (05) ◽  
pp. 1650029 ◽  
Author(s):  
Ariel Landau ◽  
Yakir Aharonov ◽  
Eliahu Cohen

Quantum computation strongly relies on the realization, manipulation, and control of qubits. A central method for realizing qubits is by creating a double-well potential system with a significant gap between the first two eigenvalues and the rest. In this work, we first revisit the theoretical grounds underlying the double-well qubit dynamics, then proceed to suggest novel extensions of these principles to a triple-well qutrit with periodic boundary conditions, followed by a general [Formula: see text]-well analysis of qudits. These analyses are based on representations of the special unitary groups SU[Formula: see text] which expose the systems’ symmetry and employ them for performing computations. We conclude with a few notes on coherence and scalability of [Formula: see text]-well systems.


2016 ◽  
Vol 9 (7) ◽  
pp. 1737-1772 ◽  
Author(s):  
Jaeyoung Byeon ◽  
Piero Montecchiari ◽  
Paul H. Rabinowitz

1986 ◽  
Vol 47 (5) ◽  
pp. 757-766 ◽  
Author(s):  
C. Aslangul ◽  
N. Pottier ◽  
D. Saint-James

Author(s):  
Florian Matthey-Prakash

What does it mean for education to be a fundamental right, and how may children benefit from it? Surprisingly, even when the right to education was added to the Indian Constitution as Article 21A, this question received barely any attention. This book identifies justiciability (or, more broadly, enforceability) as the most important feature of Article 21A, meaning that children and their parents must be provided with means to effectively claim their right from the state. Otherwise, it would remain a ‘right’ only on paper. The book highlights how lack of access to the Indian judiciary means that the constitutional promise of justiciability is unfulfilled, particularly so because the poor, who cannot afford quality private education for their children, must be the main beneficiaries of the right. It then deals with possible alternative means the state may provide for the poor to claim the benefits under Article 21A, and identifies the grievance redress mechanism created by the Right to Education Act as a potential system of enforcement. Even though this system is found to be deficient, the book concludes with an optimistic outlook, hoping that rights advocates may, in the future, focus on improving such mechanisms for legal empowerment.


2015 ◽  
Vol 21 (3) ◽  
pp. NP64-NP65 ◽  
Author(s):  
Shu-Cherng Fang ◽  
David Yang Gao ◽  
Gang-Xuan Lin ◽  
Ruey-Lin Sheu ◽  
Wen-Xun Xing

2014 ◽  
Vol 706 ◽  
pp. 25-34 ◽  
Author(s):  
G. Füsun Alişverişçi ◽  
Hüseyin Bayiroğlu ◽  
José Manoel Balthazar ◽  
Jorge Luiz Palacios Felix

In this paper, we analyzed chaotic dynamics of an electromechanical damped Duffing oscillator coupled to a rotor. The electromechanical damped device or electromechanical vibration absorber consists of an electrical system coupled magnetically to a mechanical structure (represented by the Duffing oscillator), and that works by transferring the vibration energy of the mechanical system to the electrical system. A Duffing oscillator with double-well potential is considered. Numerical simulations results are presented to demonstrate the effectiveness of the electromechanical vibration absorber. Lyapunov exponents are numerically calculated to prove the occurrence of a chaotic vibration in the non-ideal system and the suppressing of chaotic vibration in the system using the electromechanical damped device.


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