TY - JOUR
T1 - (formula presented)-symmetric dimers with time-periodic gain/loss function
AU - Psiachos, Demetra
AU - Lazarides, Nikos
AU - Tsironis, G. P.
N1 - Funding Information:
This work was partially supported by the European Union’s Seventh Framework Program (FP7-REGPOT-2012-2013-1) under Grant Agreement No. 316165, and by the Thales Project ANEMOS, cofinanced by the European Union (European Social Fund ESF) and Greek national funds through the Operational Program “Education and Lifelong Learning” of the National Strategic Reference Framework (NSRF) Research Funding Program: THALES. Investing in knowledge society through the European Social Fund.
Publisher Copyright:
© 2014, Springer-Verlag Berlin Heidelberg.
PY - 2014/10/9
Y1 - 2014/10/9
N2 - (formula presented)-symmetric dimers with a time-periodic gain/loss function in a balanced configuration where the amount of gain equals that of loss are investigated analytically and numerically. Two prototypical dimers in the linear regime are investigated: a system of coupled classical oscillators, and a Schrödinger dimer representing the coupling of field amplitudes, each system representing a wide class of physical models. Through a thorough analysis of their stability behavior, we find that turning on the coupling parameter in the classical dimer system leads initially to decreased stability but then to re-entrant transitions from the exact to the broken (formula presented)-phase and vice versa, as it is increased beyond a critical value. On the other hand, the Schrödinger dimer behaves more like a single oscillator with time-periodic gain/loss. In addition, we are able to identify the conditions under which the behavior of the two dimer systems coincides and/or reduces to that of a single oscillator.
AB - (formula presented)-symmetric dimers with a time-periodic gain/loss function in a balanced configuration where the amount of gain equals that of loss are investigated analytically and numerically. Two prototypical dimers in the linear regime are investigated: a system of coupled classical oscillators, and a Schrödinger dimer representing the coupling of field amplitudes, each system representing a wide class of physical models. Through a thorough analysis of their stability behavior, we find that turning on the coupling parameter in the classical dimer system leads initially to decreased stability but then to re-entrant transitions from the exact to the broken (formula presented)-phase and vice versa, as it is increased beyond a critical value. On the other hand, the Schrödinger dimer behaves more like a single oscillator with time-periodic gain/loss. In addition, we are able to identify the conditions under which the behavior of the two dimer systems coincides and/or reduces to that of a single oscillator.
UR - https://www.scopus.com/pages/publications/84910116393
U2 - 10.1007/s00339-014-8720-9
DO - 10.1007/s00339-014-8720-9
M3 - Article
AN - SCOPUS:84910116393
SN - 0947-8396
VL - 117
SP - 663
EP - 672
JO - Applied Physics A: Materials Science and Processing
JF - Applied Physics A: Materials Science and Processing
IS - 2
ER -