scholarly journals The Entanglement Generation in P T -Symmetric Optical Quadrimer System

Symmetry ◽  
2019 ◽  
Vol 11 (9) ◽  
pp. 1110 ◽  
Author(s):  
Joanna K. Kalaga

We discuss a model consisting of four single-mode cavities with gain and loss energy in the first and last modes. The cavities are coupled to each other by linear interaction and form a chain. Such a system is described by a non-Hermitian Hamiltonian which, under some conditions, becomes P T -symmetric. We identify the phase-transition point and study the possibility of generation bipartite entanglement (entanglement between all pairs of cavities) in the system.

2020 ◽  
Vol 62 (6) ◽  
pp. 851
Author(s):  
И.В. Мальцев ◽  
И.В. Бычков ◽  
Д.А. Кузьмин ◽  
В.Г. Шавров

In this paper, we have studied the dependencies of group velocity and damping of magnetoelastic surface waves on the frequency at various external magnetic fields and propagation angles. The group velocity spikes occur at frequencies at which the damping peaks of the surface wave are detected. The behavior of a surface magnetoelastic wave in the vicinity of the orientational phase transition was also investigated. At the phase transition point, the group velocity changes by 1%. Dependences of the damping along the surface at various propagation angles point out on the nonreciprocal nature of the wave. All dependencies in this work were obtained using computer modeling. The parameters of the ferromagnet are taken typical for yttrium-iron garnet.


1989 ◽  
Vol 10 (6) ◽  
pp. 167-172
Author(s):  
S. A. Gridnev ◽  
B. N. Prasolov ◽  
O. V. Dybova

2010 ◽  
Vol 49 (8) ◽  
pp. 1759-1767 ◽  
Author(s):  
Yan Lyu ◽  
Li-Qing Zhang ◽  
Wei Zheng ◽  
Qing-Chao Pan

Author(s):  
V. V. Dezhin ◽  
V. N. Nechaev ◽  
A. M. Roshchupkin

AbstractA generalized susceptibility of dislocations is calculated in ferroelectrics and ferromagnetics and also in the vicinity of a structural phase transition point by which natural frequencies for dislocations are defined, when the fariation of the order parameter


2013 ◽  
Vol 24 (06) ◽  
pp. 899-912 ◽  
Author(s):  
GUANGYAN ZHOU ◽  
ZONGSHENG GAO

The random (2 + p)-SAT model has been proposed [18] to study the possible relation between the “order” of phase transitions and computational complexity. It was also claimed that there exists pc > 0, such that for p < pc the random (2 + p)-SAT instance behaves like 2-SAT. Later, Achlioptas et al. [3] obtained the first rigorous results that 0.4 ≤ pc ≤ 0.695, the methods they use are the first moment method and the simple Unit-Clause algorithm. In this paper, we try to optimize the local maximality condition of the truth assignments when implementing the first moment method. We prove that the phase transition point of clauses-to-variables ratio r (dependent on p) can be improved. Moreover, we show that the upper bound of pc can be reduced to 0.6846. This fact implies that, for a constant λ < 1, a random (2 + p)-SAT formula with λn 2-clauses and 2.17n 3-clauses is almost surely unsatisfiable.


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