Photon and phonon spectral functions for continuum quantum optomechanics

Zoubi, Hashem

doi:10.1103/physreva.101.043803

Cited by 5 publications

(4 citation statements)

References 32 publications

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“…In the following, we will calculate the CRGFs G R aa † (t) and G R aa (t). For this purpose, we follow the approach of reference [47] in which Green's functions are obtained through a set of ordinary differential equations, the so-called Green's functions equations of motion, with the difference that we consider our system as an open quantum system while reference [47] is based on a closed model of the quantum system and the effects of dissipation has been fed into the equations phenomenologically. It should also be emphasized that the CRGFs of the linearized OMS obtained by the present approach is in complete coincidence with the approach of diagonalization of the Hamiltonian in terms of normal modes investigated in reference [48].…”

Section: Optical Response Of the Omsmentioning

confidence: 99%

A Green’s function approach to the linear response of a driven dissipative optomechanical system

Motazedifard¹,

Dalafi²,

Naderi³

2021

J. Phys. A: Math. Theor.

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In this paper, we first try to shed light on the ambiguities that exist in the literature in the generalization of the standard linear response theory (LRT) which has been basically formulated for closed systems to the theory of open quantum systems in the Heisenberg picture. Then, we investigate the linear response of a driven-dissipative optomechanical system (OMS) to a weak time-dependent perturbation using the so-called generalized LRT. It is shown how the Green’s function equations of motion of a standard OMS as an open quantum system can be obtained from the quantum Langevin equations (QLEs) in the Heisenberg picture. The obtained results explain a wealth of phenomena, including the anti-resonance, normal mode splitting and the optomechanically induced transparency (OMIT). Furthermore, the reason why the Stokes or anti-Stokes sidebands are amplified or attenuated in the red or blue detuning regimes is clearly explained which is in exact coincidence, especially in the weak-coupling regime, with the Raman-scattering picture.

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Section: Optical Response Of the Omsmentioning

confidence: 99%

A Green’s function approach to the linear response of a driven dissipative optomechanical system

Motazedifard¹,

Dalafi²,

Naderi³

2021

J. Phys. A: Math. Theor.

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show abstract

“…For this purpose, we follow the approach of Ref. [42] in which Green's functions are obtained through a set of ordinary differential equations, the so-called Green's functions equations of motion, with the difference that we consider our system as an open quantum system while Ref. [42] is based on a closed model of the quantum system and the effects of dissipation has been fed into the equations phenomenologically.…”

Section: A Optical Response Of the Omsmentioning

confidence: 99%

“…[42] in which Green's functions are obtained through a set of ordinary differential equations, the so-called Green's functions equations of motion, with the difference that we consider our system as an open quantum system while Ref. [42] is based on a closed model of the quantum system and the effects of dissipation has been fed into the equations phenomenologically. It should also be emphasized that the CRGFs of the linearized OMS obtained by the present approach is in complete coincidence with the approach of diagonalization of the Hamiltonian in terms of normal modes investigated in Ref.…”

Section: A Optical Response Of the Omsmentioning

confidence: 99%

A Green's function approach to the linear response of a driven dissipative optomechanical system

Motazedifard,

Dalafi,

Naderi

2020

Preprint

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We discuss the generalization of the linear response theory (LRT) to encompass the theory of open quantum systems and then apply the so-called generalized LRT to investigate the linear response of a driven-dissipative optomechanical system (OMS) to a weak time-dependent perturbation. To our knowledge, there are elements of ambiguities in the literature in unification of the standard LRT which has been basically formulated for closed systems and the theory of open quantum systems. In this paper, we try to shed light on this matter through the reformulation of the LRT of open quantum systems in the Heisenberg picture. It is shown how the Green's function equations of motion of a standard OMS as an open quantum system can be obtained from the quantum Langevin equations (QLEs) in the Heisenberg picture. The obtained results explain a wealth of phenomena, including the anti-resonance, normal mode splitting and the optomechanically induced transparency (OMIT). Furthermore, the reason why the Stokes or anti-Stokes sidebands are amplified or attenuated in the red or blue detuning regimes is clearly determined which is in exact coincidence, especially in the weak-coupling regime, with the Raman-scattering picture.

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“…Recent progress in the fabrication of nanoscale waveguides, in which the wavelength of the light becomes larger than the waveguide dimension, achieved a breakthrough in SBS [46][47][48]. In this regime the coupling of photons and phonons is significantly enhanced due to radiation pressure dominating over electrostriction [49][50][51] with significant implications for the field of continuum quantum optomechanics [52][53][54][55]. We have explored the possibility of achieving a significant nonlinear phase shift among photons propagating in nanoscale waveguides.…”

Section: Introductionmentioning

confidence: 99%

The Formation of Photon-Molecules in Nanoscale Waveguides

Zoubi

2021

Preprint

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We investigate the formation of photon bound states in a system of interacting photons inside nanoscale wires. The photons interact through the exchange of vibrational modes induced along the waveguide mainly due to radiation pressure. The problem of many-body photons is treated in using the formalism of contour Green's functions under the T-matrix approximation. The complex pole of the T-matrix is a signature for the appearance of photon-molecules. The analysis of such singularity provides the critical temperature at which the T-matrix approximation breaks down and photon-molecules appear. For strongly interacting slow photons the amplitude of the photonmolecule wavefunction acquires a significant quantum nonlinear phase inside the nanowire. Photon bound-states can be implemented for quantum information processing as quantum logic gates, e.g. for π phase shift the photon-molecule is shown to serve as a Z-controlled gate.

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Photon and phonon spectral functions for continuum quantum optomechanics

Cited by 5 publications

References 32 publications

A Green’s function approach to the linear response of a driven dissipative optomechanical system

A Green’s function approach to the linear response of a driven dissipative optomechanical system

A Green's function approach to the linear response of a driven dissipative optomechanical system

The Formation of Photon-Molecules in Nanoscale Waveguides

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