Non-Markovian quantum input-output networks

Zhang, Jing; Liu, Yu-xi; Wu, Rongbo; Jacobs, Kurt; Nori, Franco

doi:10.1103/physreva.87.032117

Cited by 61 publications

(64 citation statements)

References 109 publications

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“…By manipulating the parameters of a cavity, one can control the parameters of the Lorentzian reservoir spectrum. Our study can also be applied to many other systems, e.g., a superconducting artificial atom coupled to a superconducting transmission-line resonator (TLR) [14,51]. TLRs can be viewed as microwave cavities, which can filter the input white noise into the non-Markovian noise with Lorentzian spectrums [51].…”

Section: Discussionmentioning

confidence: 99%

Deterministic quantum controlled-PHASE gates based on non-Markovian environments

2017

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We study the realization of the quantum controlled-PHASE gate in an atom-cavity system beyond the Markovian approximation. The general description of the dynamics for the atom-cavity system without any approximation is presented. When the spectral density of the reservoir has the Lorentz form, by making use of the memory backflow from the reservoir, we can always construct the deterministic quantum controlled-PHASE gate between a photon and an atom, no matter the atomcavity coupling strength is weak or strong. While, the phase shift in the output pulse hinders the implementation of quantum controlled-PHASE gates in the sub-Ohmic, Ohmic or super-Ohmic reservoirs.

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Section: Discussionmentioning

confidence: 99%

Deterministic quantum controlled-PHASE gates based on non-Markovian environments

2017

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“…To demonstrate these fundamental differences, this paper presents a comparison between the properties of the continuous-and discrete-mode schemes through the example of the Jaynes-Cummings model in the single ex-citation limit. Each setup has its advantages and disadvantages to be taken into account when constructing more complicated control schemes, such as plantcontroller or quantum network systems [95][96][97][98][99][100][101][102][103][104][105][106]. This work also further refines the scope of the existing numerical methods that were invented for the nontrivial task of simulating the non-linear time evolution of a quantum system with time non-local interactions [72,[107][108][109].…”

Section: Introductionmentioning

confidence: 93%

Comparison between continuous- and discrete-mode coherent feedback for the Jaynes-Cummings model

et al. 2019

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Using the example of the Jaynes-Cummings model, we present a comparison between timedelayed coherent feedback mediated by reservoirs with continuous and discrete mode structures and work out their qualitative differences. In contrast to the discrete-mode case, the continuous-mode case results in the well-known single-delay dynamics which can, e.g., stabilize Rabi oscillations. The discrete-mode case, however, shows population trapping, not present in the continuous-mode model. Given these differences, we discuss the cavity output spectra and show how these characteristic properties are spectrally identifiable. This work demonstrates the fundamental difference between the continuous-mode case, which represents a truly dissipative mechanism, and the discrete-mode case that is in principle based on a coherent excitation exchange process.PACS numbers: May be entered using the \pacs{#1} command. * nnem614@aucklanduni.ac.nz

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“…Based on the theory of coherent feedback [36][37][38][39][40][41][42][43][44][45][46], which is one of the major quantum feedback approaches [47][48][49][50], the basic idea of our method is to transfer a broadband chaotic control signal from the controller to the controlled optomechanical systems by feedback connections. This broadband control induces an effective broadband frequency shift of the mechanical resonator and then decouples the mechanical mode from the environmental noises.…”

Section: Introductionmentioning

confidence: 99%

Noise suppression of on-chip mechanical resonators by chaotic coherent feedback

et al. 2015

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We propose a method to decouple the nanomechanical resonator in optomechanical systems from the environmental noise by introducing a chaotic coherent feedback loop. We find that the chaotic controller in the feedback loop can modulate the dynamics of the controlled optomechanical system and induce a broadband response of the mechanical mode. This broadband response of the mechanical mode will cut off the coupling between the mechanical mode and the environment and thus suppress the environmental noise of the mechanical modes. As an application, we use the protected optomechanical system to act as a quantum memory. It's shown that the noise-decoupled optomechanical quantum memory is efficient for storing information transferred from coherent or squeezed light.

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Non-Markovian quantum input-output networks

Cited by 61 publications

References 109 publications

Deterministic quantum controlled-PHASE gates based on non-Markovian environments

Deterministic quantum controlled-PHASE gates based on non-Markovian environments

Comparison between continuous- and discrete-mode coherent feedback for the Jaynes-Cummings model

Noise suppression of on-chip mechanical resonators by chaotic coherent feedback

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