Quantum dynamics of two-optical modes and a single mechanical mode optomechanical system: Selective energy exchange

Abstract

We study the quantum dynamics of an optomechanical setup comprising two optical modes and one mechanical mode. We show that the same system can undergo a Dicke-Hepp-Lieb superradiant type phase transition. We found that the coupling between the momentum quadratures of the two optical fields give rise to a new critical point. We show that selective energy exchange between any two modes is possible by coherent control of the coupling parameters. In addition we also demonstrate the occurrence of Normal Mode Splitting (NMS) in the mechanical displacement spectrum.

Enhanced interaction between a mechanical oscillator and two coupled resonant electrical circuits

“…Substituting (11) into ( 9) one can solve the second pair of equations and get the following results:…”

“…[7][8][9] In particular, they are studied under the perspective of their potential applications as macroscopic quantum systems. 10,11 In this paper, we present results of calculation and experimental realization of an electromechanical system in which the mechanical oscillator interacts with two coupled resonant a) Electronic mail: dmitriev@hbar.phys.msu.ru b) Electronic mail: mitr@hbar.phys.msu.ru RF circuits in the resolved sideband regime. This allows us to enhance the interaction between the mechanical oscillator and resonant RF circuits.…”

“…At present the three-mode systems formed by two optical modes and a mechanical oscillator are of major interest in optomechanics [7][8][9] . In particular, they are studied under the perspective of their potential applications as macroscopic quantum systems 10,11 .…”

Selective entanglement in a two-mode optomechanical system

“…28,29 The advancement in the¯eld of cavity optomechanical system in recent years opens the door towards signi¯cant applications in the areas of quantum communications and quantum information processing. [30][31][32][33] Entanglement is one of the characteristic elements of quantum theory as it is responsible for correlations between observables that cannot be understood on the basis of local realistic theories. 34 It is now intensively studied in performing communication and computation tasks with an e±ciency that cannot be achieved classically.…”

“…61 The selective energy exchange between any two modes of such an optomechanical system has also been investigated very recently. 32 Here, we study this system to show how the stationary bipartite CV entanglements can be generated between the di®erent modes of the system. These steady-state entanglements are quanti¯ed by the logarithmic negativity and are further shown to be robust against temperature.…”