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(color online) Density plot of E max versus J and η c. The parameters are the same as those in Fig. 1.
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The quantum state transfer between two membranes in coupled cavities is studied when the system is surrounded by non-Markovian environments. An analytical approach for describing non-Markovian memory effects that impact on the state transfer between distant membranes is presented. We show that quantum state transfer can be implemented with high eff...
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Context 1
... value of efficiency becomes shorter. Meanwhile, in Fig. 2(c), when ω m t ≈ 18.6, the efficiency may reach 99.3%. In order to have a better understanding of the properties of the efficiency, we explore the maximum value of efficiency via the tunneling interaction strength J and the dimensionless coupling strength η c . The result is plotted in Fig. 3. Not sur- prisingly, η c plays a negative role for achieving large values of E max , which agrees with the Markovian case. In the pres- ence of non-Markovian environment, as shown in Fig. 3, the high-efficiency state transfer requires an appropriate value of J, and the oscillation becomes apparent when the value of J increases. To show ...
Context 2
... we explore the maximum value of efficiency via the tunneling interaction strength J and the dimensionless coupling strength η c . The result is plotted in Fig. 3. Not sur- prisingly, η c plays a negative role for achieving large values of E max , which agrees with the Markovian case. In the pres- ence of non-Markovian environment, as shown in Fig. 3, the high-efficiency state transfer requires an appropriate value of J, and the oscillation becomes apparent when the value of J increases. To show clearly the relation between E max and J, we plot Fig. 4, where we keep η c = 10 −4 . In Fig. 4, we also compare the Markovian and non-Markovian cases. It shows that for both cases, E max ...
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Citations
... In particular, the quantum state transfer in an optomechanical system may provide a new way for quantum communication between two truly macroscopic systems. In recent years, numerous protocols have been proposed to achieve quantum state transfer between two mechanical oscillators [66][67][68][69][70]. In Ref. [69], akin to STIRAP, adiabatic transfer of energy fluctuations between membranes is presented. ...
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. Express 29, 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.
... The non-Markovian environment usually can keep the coherence and suppress the dissipation. The theory of open quantum system is researched through several perspectives, such as the projection operator theory, [20,21] Green's functions method, [22][23][24] perturbation theory, [25] and stochastic Schrödinger equations (SSEs) techniques. [26][27][28][29][30] However, these researches mostly investigate the system linearly coupling with its non-Markovian environment. ...
The dynamics of two nanospheres nonlinearly coupling with non-Markovian reservoir is investigated. A master equation of the two nanospheres is derived by employing quantum state diffusion method. It is shown that the nonlinear coupling can improve the non-Markovianity. Due to the sharing of the common non-Markovian environment, the state transfer between the two nanospheres can be realized. The entanglement and the squeezing of the individual mode, as well as the jointed two-mode are analyzed. The present system can be realized by trapping two nanospheres in a wideband cavity, which might provide a method to study adjustable non-Markovian dynamics of mechanical motion.
... The optomechanical system, which involves the coupling of a macroscopic mechanical mirror and a microscopic cavity field, is a good platform to test the quantum properties of macroscopic objects [35,36]. Many interesting quantum properties of macroscopic mechanical oscillator have been found in optomechanical systems [37][38][39][40][41][42][43][44][45][46][47]. In [48], based on a two-mode optomechanical system, Liao proposed a scheme to create macroscopically distinct cat states of the mechanical oscillator, where modulated photon-hopping interaction between two cavity fields is used to increase the mechanical displacement. ...
We propose a scheme to generate the macroscopic entangled Schrödinger cat state of two mechanical resonators in a hybrid optomechanical system by introducing modulated photon-hopping interaction between two cavities. We show that the obtained entangled cat state possesses large average phonon number and the two base vectors of which are nearly orthogonal, thus causing the high degree of entanglement. To justify the robust of the scheme, the dissipation of the system and the noise from the environment are considered. It shows that the high fidelity between the obtained state and the target state can be achieved in the presence of dissipation and thermal noise within our parameter regions, which suggests that our state-generation proposal is feasible.
In this paper, we introduce a feasible scheme for implementing excitation fluctuation transfer between two membranes in a cavity optomechanical system. The transitionless tracking algorithm allows the system to evolve along a single path, and the process is sped up. Numerical simulations are shown to indicate that, compared with the schemes based on conventional adiabatic passage and Lewis–Riesenfeld invariants, the proposed scheme not only shortens the evolution time but also significantly decreases the negative effects of dissipation arising from membrane damping and cavity decay within specified bounds. This work provides a new idea for quantum state transfer between two membranes.
We propose a scheme for realizing the optical nonreciprocal response based a four-mode optomechanical system, consisting of two charged mechanical modes and two linearly coupled optical modes. Two charged mechanical modes are coupled by Coulomb interaction, and two optical modes are coupled to one of mechanical modes by radiation pressure. We numerically evaluate the transmission probability of the probe field to obtain the optimum optical nonreciprocal response parameters. Also, we show that the optical nonreciprocal response is caused by the quantum interference between the optomechanical couplings and the linearly coupled interaction that breaks the time-reversal symmetry.
