Optomechanical damping basis

Torres, Juan Mauricio; Betzholz, Ralf; Bienert, Marc

doi:10.1088/1751-8121/aafffe

Cited by 14 publications

(22 citation statements)

References 51 publications

(92 reference statements)

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“…The difference is that here we have to employ an asymmetric or, as we will call it, skew superdisplacement. A transform of this kind has already been employed in the diagonalization of superoperators containing an anticommutator with the dimensionless position operator [45][46][47]. Using the abbreviation ξ = (ξ 1 , ξ 2 , ξ 3 ) for three displacement parameters we have to employ in this case, we define the skew superdisplacement as…”

Section: B Off-diagonal Part: V±mentioning

confidence: 99%

Pulsed characteristic-function measurement of a thermalizing harmonic oscillator

Betzholz,

Liu,

Cai

2021

Preprint

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We present a method for the direct measurement of the Wigner characteristic function of a damped harmonic oscillator that is completely inaccessible for control or measurement. The strategy employs a recently proposed probe-measurement-based scheme [Phys. Rev. Lett. 122, 110406 (2019)] which relies on the pulsed control of a two-level probe. We generalize this scheme to the case of a non-unitary time evolution of the target harmonic oscillator, describing its damping by a finite-temperature environment, given in the form of a Lindblad master equation. This generalization is achieved using a superoperator formalism and yields analytical expressions for the direct measurement of the characteristic function, accounting for the decoherence during the measurement process.

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Section: B Off-diagonal Part: V±mentioning

confidence: 99%

Pulsed characteristic-function measurement of a thermalizing harmonic oscillator

Betzholz,

Liu,

Cai

2021

Preprint

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“…Mechanical loss, on the other hand, has been exactly modeled in terms of the Lindblad equation for phonon dissipation [20] and Brownian motion [35]. In addition, a treatment of both optical and mechanical losses through a damping-basis approach [36] has also been put forward [37].…”

Section: Introductionmentioning

confidence: 99%

Master-equation treatment of nonlinear optomechanical systems with optical loss

et al. 2021

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Open-system dynamics play a key role in the experimental and theoretical study of cavity optomechanical systems. In many cases, the quantum Langevin equations have enabled excellent models for optical decoherence, yet a master-equation approach to the fully nonlinear optomechanical Hamiltonian has thus far proven more elusive. To address this outstanding question and broaden the mathematical tool set available, we derive a solution to the Lindblad master equation that models optical decoherence for a system evolving with the nonlinear optomechanical Hamiltonian. The method combines a Lie-algebra solution to the unitary dynamics with a vectorization of the Lindblad equation, and we demonstrate its applicability by considering the preparation of optical cat states via the optomechanical nonlinearity in the presence of optical loss. Our results provide a direct way of analytically assessing the impact of optical decoherence on the optomechanical intracavity state.

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“…Another possible source of complexity comes from the possibility that the environment can measure different observables of the system, potentially incompatible, at the same time, leading to many incompatible decoherence channels [11][12][13]. Interesting physical effects are coming from the subtle interplay between those incompatible channels.…”

Section: Introductionmentioning

confidence: 99%

Einselection from incompatible decoherence channels

2020

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Decoherence of quantum systems from entanglement with an unmonitored environment is to date the most compelling explanation of the emergence of a classical picture from a quantum world. While it is well understood for a single decoherence channel, the role in the einselection process of a complex system-environment interaction remains to be clarified. In this paper, we analyze an open quantum dynamics inspired by CQED experiments with two incompatible decoherence channels. We study and solve exactly the problem using quantum trajectories and phase-space techniques. The einselection optimization problem is studied numerically and we show that Fock states remain the most robust states to decoherence up to a critical coupling.

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Optomechanical damping basis

Cited by 14 publications

References 51 publications

Pulsed characteristic-function measurement of a thermalizing harmonic oscillator

Pulsed characteristic-function measurement of a thermalizing harmonic oscillator

Master-equation treatment of nonlinear optomechanical systems with optical loss

Einselection from incompatible decoherence channels

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