SEARCHING FOR VIBRATING MODES OF ATOM CHAIN MODELS WITH EXTRA STRINGS BY VIRTUE OF THE INVARIANT EIGEN-OPERATOR METHOD

2007 ◽  
Vol 21 (26) ◽  
pp. 1751-1757
Author(s):  
HAO WU ◽  
HONG-YI FAN

We show that the vibration modes of some atom chain models (including diatomic chain) with extra strings can be derived directly by using the newly-developed invariant eigen-operator method. Especially, the chain model which takes different second-neighbor interactions into account is solved.

2020 ◽  
Vol 118 (3) ◽  
pp. 88a
Author(s):  
Yalun Yu ◽  
Jeffery B. Klauda
Keyword(s):  

1970 ◽  
Vol 2 (8) ◽  
pp. 3295-3302 ◽  
Author(s):  
G. Lucovsky ◽  
M. H. Brodsky ◽  
E. Burstein

2018 ◽  
Vol 16 (01) ◽  
pp. 1850006 ◽  
Author(s):  
Abdel-Haleem Abdel-Aty ◽  
Ahmad N. Khedr ◽  
Yasser B. Saddeek ◽  
Amr A. Youssef

We discussed the entanglement generated by the quantum annealing processor in the thermal state. The quantum annealing processor is modeled using the spin-chain model. The system is analytically solved using the unitary operator method and generated correlations (Von Neuman, Shanonn entropies and Purity) are discussed. The effect of the system parameters such as coupling constant, strength coupling and bias parameter, on the dynamics of the generated entanglement is studied. It is shown that the system parameters can be used as a controller of the entanglement.


2020 ◽  
Vol 124 (31) ◽  
pp. 6797-6812 ◽  
Author(s):  
Yalun Yu ◽  
Jeffery B. Klauda
Keyword(s):  

2014 ◽  
Vol 118 (2) ◽  
pp. 547-556 ◽  
Author(s):  
Sarah Lee ◽  
Alan Tran ◽  
Matthew Allsopp ◽  
Joseph B. Lim ◽  
Jérôme Hénin ◽  
...  
Keyword(s):  

1961 ◽  
Vol 58 ◽  
pp. 1072-1077 ◽  
Author(s):  
Frank Stahl
Keyword(s):  

1989 ◽  
Vol 50 (21) ◽  
pp. 3223-3232 ◽  
Author(s):  
G. Le Bastard ◽  
R. Granger ◽  
S. Rolland ◽  
Y. Marqueton ◽  
R. Triboulet

2019 ◽  
Vol 13 (3) ◽  
pp. 5334-5346
Author(s):  
M. N. Nguyen ◽  
L. Q. Nguyen ◽  
H. M. Chu ◽  
H. N. Vu

In this paper, we report on a SOI-based comb capacitive-type accelerometer that senses acceleration in two lateral directions. The structure of the accelerometer was designed using a proof mass connected by four folded-beam springs, which are compliant to inertial displacement causing by attached acceleration in the two lateral directions. At the same time, the folded-beam springs enabled to suppress cross-talk causing by mechanical coupling from parasitic vibration modes. The differential capacitor sense structure was employed to eliminate common mode effects. The design of gap between comb fingers was also analyzed to find an optimally sensing comb electrode structure. The design of the accelerometer was carried out using the finite element analysis. The fabrication of the device was based on SOI-micromachining. The characteristics of the accelerometer have been investigated by a fully differential capacitive bridge interface using a sub-fF switched-capacitor integrator circuit. The sensitivities of the accelerometer in the two lateral directions were determined to be 6 and 5.5 fF/g, respectively. The cross-axis sensitivities of the accelerometer were less than 5%, which shows that the accelerometer can be used for measuring precisely acceleration in the two lateral directions. The accelerometer operates linearly in the range of investigated acceleration from 0 to 4g. The proposed accelerometer is expected for low-g applications.


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