(formula presented)-symmetric dimers with time-periodic gain/loss function

Demetra Psiachos; Nikos Lazarides; G. P. Tsironis

doi:10.1007/s00339-014-8720-9

(formula presented)-symmetric dimers with time-periodic gain/loss function

Demetra Psiachos, Nikos Lazarides, G. P. Tsironis

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9 Scopus citations

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	British English
Pages (from-to)	663-672
Number of pages	10
Journal	Applied Physics A: Materials Science and Processing
Volume	117
Issue number	2
DOIs	https://doi.org/10.1007/s00339-014-8720-9
State	Published - 9 Oct 2014

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title = "(formula presented)-symmetric dimers with time-periodic gain/loss function",

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 Schr{\"o}dinger 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 Schr{\"o}dinger 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.",

author = "Demetra Psiachos and Nikos Lazarides and Tsironis, {G. P.}",

note = "Funding Information: This work was partially supported by the European Union{\textquoteright}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: {\textcopyright} 2014, Springer-Verlag Berlin Heidelberg.",

year = "2014",

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doi = "10.1007/s00339-014-8720-9",

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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

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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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JO - Applied Physics A: Materials Science and Processing

JF - Applied Physics A: Materials Science and Processing

IS - 2

ER -

(formula presented)-symmetric dimers with time-periodic gain/loss function

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