Abstract
(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.
| Original language | English |
|---|---|
| Pages (from-to) | 663-672 |
| Number of pages | 10 |
| Journal | Applied Physics A: Materials Science and Processing |
| Volume | 117 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - Oct 9 2014 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Materials Science(all)
- Chemistry(all)
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(formula presented)-symmetric dimers with time-periodic gain/loss function. / Psiachos, Demetra; Lazarides, Nikos; Tsironis, G. P.
In: Applied Physics A: Materials Science and Processing, Vol. 117, No. 2, 09.10.2014, p. 663-672.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - (formula presented)-symmetric dimers with time-periodic gain/loss function
AU - Psiachos, Demetra
AU - Lazarides, Nikos
AU - Tsironis, G. P.
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.
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UR - http://www.scopus.com/inward/citedby.url?scp=84910116393&partnerID=8YFLogxK
U2 - 10.1007/s00339-014-8720-9
DO - 10.1007/s00339-014-8720-9
M3 - Article
VL - 117
SP - 663
EP - 672
JO - Applied Physics
JF - Applied Physics
SN - 0340-3793
IS - 2
ER -