Quantum theory of continuum optomechanics

Rakich, Peter T.; Marquardt, Florian

doi:10.1088/1367-2630/aaac4f

Cited by 33 publications

(26 citation statements)

References 65 publications

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“…In fact, this limit takes the same form as the limit for cooling in resonators [15,31] but with the temporal loss rates replaced by their corresponding spatial loss with lower spatial loss rate¯ḡ = G 0.01 . The maximum ratio (equation (30)) in this case is 0.99. rates:…”

Section: Solution With Non-depleted Optical Pumpingmentioning

confidence: 75%

“…If we rewrite this factor in terms of spatial loss ratesḡ g º v,Ḡ º G v b and define the spatial coupling ratē º g g vv b , the expression becomes (¯¯) |¯| g -Gg 4 2 2 . Expressions of this form are commonly found in optomechanical systems [15,30]. Analogously, the coupling strength in this system is characterized by the discriminant…”

Section: Solution With Non-depleted Optical Pumpingmentioning

confidence: 97%

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Brillouin cooling in a linear waveguide

2016

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Brillouin scattering is not usually considered as a mechanism that can cause cooling of a material due to the thermodynamic dominance of Stokes scattering in most practical systems. However, it has been shown in experiments on resonators that net phonon annihilation through anti-Stokes Brillouin scattering can be enabled by means of a suitable set of optical and acoustic states. The cooling of traveling phonons in a linear waveguide, on the other hand, could lead to the exciting future prospect of manipulating unidirectional phonon fluxes and even the nonreciprocal transport of quantum information via phonons. In this work, we present an analysis of the conditions under which Brillouin cooling of phonons of both low and high group velocities may be achieved in a linear waveguide. We analyze the three-wave mixing interaction between the optical and traveling acoustic modes that participate in forward Brillouin scattering, and reveal the key regimes of operation for the process. Our calculations indicate that measurable cooling may occur in a system having phonons with spatial loss rate that is of the same order as the spatial optical loss rate. If the Brillouin gain in such a waveguide reaches the order of 10 5 m −1 W −1 , appreciable cooling of phonon modes may be observed with modest pump power of a few mW.

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Section: Solution With Non-depleted Optical Pumpingmentioning

confidence: 75%

Section: Solution With Non-depleted Optical Pumpingmentioning

confidence: 97%

Brillouin cooling in a linear waveguide

2016

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“…Progress in quantum information and quantum computing with continuous variables is receiving much attention with platforms that implement quantum optics, cavity quantum electrodynamics [1,2] and optomechanics [3][4][5][6][7]. The quantum mechanical degrees of freedom unavoidably couple to other environmental degrees of freedom, or bath, that induce dissipation and decoherence.…”

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confidence: 99%

Coherence of mechanical oscillators mediated by coupling to different baths

Boyanovsky

Jasnow

2017

Phys. Rev. A

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We study the non-equilibrium dynamics of two mechanical oscillators with general linear couplings to two uncorrelated thermal baths at temperatures T1 and T2, respectively. We obtain the complete solution of the Heisenberg-Langevin equations, which reveal a coherent mixing among the normal modes of the oscillators as a consequence of their off-diagonal couplings to the baths. Unique renormalization aspects resulting from this mixing are discussed. Diagonal and off-diagonal (coherence) correlation functions are obtained analytically in the case of strictly Ohmic baths with different couplings in the strong and weak coupling regimes. An asymptotic non-equilibrium stationary state emerges for which we obtain the complete expressions for the correlations and coherence. Remarkably, the coherence survives in the high temperature, classical limit for T1 = T2. This is a consequence of the coherence being determined by the difference of the bath correlation functions. In the case of vanishing detuning between the oscillator normal modes both coupling to one and the same bath, the coherence retains memory of the initial conditions at long time. A perturbative expansion of the early time evolution reveals that the emergence of coherence is a consequence of the entanglement between the normal modes of the oscillators mediated by their couplings to the baths. This suggests the survival of entanglement in the high temperature limit for different spectral densities and temperatures of the baths and is essentially a consequence of the non-equilibrium nature of the asymptotic stationary state. An out of equilibrium setup with small detuning and large |T1 − T2| produces non-vanishing steady-state coherence and entanglement in the high temperature limit of the baths.

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“…However, the existence of a previously unnoticed SI, which is always leaning toward the red side-band seems to be conclusive. Therefore, a rigorous quantum theory of SI for Raman scattering from continuum optomechanics is yet to be developed, such as the one recently developed for materials [25].…”

Section: Raman Scatteringmentioning

confidence: 99%

Analysis of Side-band Inequivalence

Khorasani

2019

Sci Rep

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Frequency shifts of red- and blue-scattered (Stokes/anti-Stokes) side-bands in quantum optomechanics are shown to be counter-intuitively inequal, resulting in an unexpected symmetry breaking. This difference is referred to as Side-band Inequivalenve (SI), which normally leans towards red, and being a nonlinear effect it depends on optical power or intracavity photon number. Also there exists a maximum attainable SI at an optimal operation point. The mathematical method employed here is a combination of operator algebra equipped with harmonic balance, which allows a clear understanding of the associated nonlinear process. This reveals the existence of three distinct operation regimes in terms of pump power, two of which have immeasurably small SI. Compelling evidence from various experiments sharing similar interaction Hamiltonians, including quantum optomechanics, ion/Paul traps, electrooptic modulation, Brillouin scattering, and Raman scattering unambiguously confirm existence of a previously unnoticed SI.

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Quantum theory of continuum optomechanics

Cited by 33 publications

References 65 publications

Brillouin cooling in a linear waveguide

Brillouin cooling in a linear waveguide

Coherence of mechanical oscillators mediated by coupling to different baths

Analysis of Side-band Inequivalence

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