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arXiv:1802.09144 · Physical Review A

Invariant-based inverse engineering for fluctuation transfer between membranes in an optomechanical cavity system

Ye‐Hong Chen, Zhi‐Cheng Shi, Jie Song, Yan Xia

Published Feb 26, 2018• 43 citations
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Abstract

In this paper, by invariant-based inverse engineering, we design classical driving fields to transfer quantum fluctuations between two suspended membranes in an optomechanical cavity system. The transfer can be quickly attained through a nonadiabatic evolution path determined by a so-called dynamical invariant. Such an evolution path allows one to optimize the occupancies of the unstable ``intermediate'' states; thus, the influence of cavity decays can be suppressed. Numerical simulation demonstrates that a perfect fluctuation transfer between two membranes can be rapidly achieved in one step, and the transfer is robust to both the amplitude noises and cavity decays.

DOI
10.1103/physreva.97.023841

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Shortening the operation time of implementing scheme and reducing the influence of harmful factors have always been the research objectives pursued by people. Based on invariant-based reverse engineering, we present a general scheme for implementing robust population transfer in a three-level system via optimal shortcut to adiabatic passage. The systematic error sensitivity is introduced to measure the robustness of the process. The smooth Rabi frequencies are expressed with some coefficients, which are also related to the systematic error sensitivity and the population of intermediate state. When the amplitude of control field is given, the transfer can be optimized within as small systematic error sensitivity as possible, i.e., the robustness against systematic errors is further improved by choosing suitable correlation coefficient. Additionally, we apply the technique to achieve robust excitation fluctuation transfer between two membranes in an optomechanical system. The relation between the fidelity of excitation fluctuation transfer and variation of effective optomechanical coupling strengths is analysed. Numerical result shows that the fidelity keeps over 0.95 even if the coupling strengths deviates from 20% of the theoretical value. Moreover, comparison with existing literature [Opt. Express29, 7998 (2021)10.1364/OE.417343], the proposed scheme possesses stronger robustness against variations of effective optomechanical coupling strengths and lower population of unwanted states. The idea may provide a promising approach for quantum information processing.
We propose a robust and accelerated scheme for generating quantum entanglement between two macroscopic membranes in a cavity optomechanical system. By utilizing the quantum Zeno dynamics, the full coupled dynamics is constrained within an invariant subspace, leading to a controllable three-level effective Hamiltonian. We employ the designed-evolution-operator method to steer the system along a prescribed shortcut trajectory, where the required driving pulses are fitted with superpositions of Gaussian functions to enhance experimental feasibility. The unconditional open-system dynamics is rigorously evaluated using a trace-preserving Lindblad master equation accounting for photon leakage, mechanical damping, and finite-temperature thermal noise. Numerical simulations show that high-fidelity entangled states can be generated within a significantly shortened evolution time compared with conventional adiabatic passage. Furthermore, the scheme exhibits remarkable robustness against cavity decay, membrane damping, and noise.
We propose an alternative scheme for constructing a shortcut to implement the quantum state transfer between two three-level atoms founded on the invariant-based inverse engineering in a cavity quantum electronic dynamics (QED) system. Quantum information can be quickly transferred between atoms by taking advantage of the cavity field as a medium. Through our design of the time-dependent laser pulse and atom–cavity coupling, we send atoms through the cavity within a short time interval, which involves the two processes of the invariant dynamics between each atom and the cavity field simultaneously. We redesign a reasonable Gaussian-type wave form in the atom–cavity coupling for a realistic experimental operation. Numerical simulation shows that the target state can be quickly populated with a high fidelity which is robust against both the parameter fluctuations and the dissipation.
We propose an alternative scheme to implement the quantum state transfer between two three-level atoms based on the invariant-based inverse engineering in cavity quantum electronic dynamics (QED) system. The quantum information can be ultrafast transferred between the atoms by taking advantage of the cavity field as a medium for exchanging quantum information speedily. Through designing the time-dependent laser pulse and atom-cavity coupling, we send the atoms through the cavity with a short time interval experiencing the two processes of the invariant dynamics between each atom and the cavity field simultaneously. Numerical simulation shows that the target state can be ultrafast populated with a high fidelity even when considering the atomic spontaneous emission and the photon leakage out of the cavity field. We also redesign a reasonable Gaussian-type wave form in the atom-cavity coupling for the realistic experiment operation.