Harnessing non-Markovian quantum memory by environmental coupling

Man, Zhong‐Xiao; Xia, Yun‐Jie; Franco, Rosario Lo

doi:10.1103/physreva.92.012315

Cited by 89 publications

(54 citation statements)

References 78 publications

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“…The intensive work on quantum information and computing in recent years has tremendously increased the interest in exploring and controlling decoherence effects. [5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23] The dynamics of an open quantum system coupled to a bath can be either Markovian or non-Markovian. 1,[24][25][26][27][28][29] However, in this paper, we are concerned with the Markovian dyanmics of the system infinite range Heisenberg model (IRHM) coupled to a bath of local optical phonons.…”

Section: Introductionmentioning

confidence: 99%

Decoherence dynamics of interacting qubits coupled to a bath of local optical phonons

Lone

Yarlagadda

2016

Int. J. Mod. Phys. B

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We study decoherence in an interacting qubit system described by infinite range Heisenberg model (IRHM) in a situation where the system is coupled to a bath of local optical phonons. Using perturbation theory in polaron frame of reference, we derive an effective Hamiltonian that is valid in the regime of strong spin-phonon coupling under nonadiabatic conditions. It is shown that the effective Hamiltonian commutes with the IRHM upto leading orders of perturbation and thus has the same eigenstates as the IRHM. Using a quantum master equation with Markovian approximation of dynamical evolution, we show that the off-diagonal elements of the density matrix do not decay in the energy eigen basis of IRHM.

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Section: Introductionmentioning

confidence: 99%

Decoherence dynamics of interacting qubits coupled to a bath of local optical phonons

Lone

Yarlagadda

2016

Int. J. Mod. Phys. B

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“…Besides, dynamical decoupling [39][40][41] as well as quantum Zeno effect [42]can also be used to protect bipartite quantum correlations by tackling decoherence. As mentioned above these previous studies, the back-action of the environment and the memory effect of the environment play a significant role in combatting decoherence.…”

Section: Introductionmentioning

confidence: 99%

Generation and protection of steady-state quantum correlations due to quantum channels with memory

Guo

Mao-Fa

Wang

et al. 2016

Quantum Inf Process

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We have proposed a scheme of the generation and preservation of two-qubit steady-state quantum correlations through quantum channels where successive uses of the channels are correlated. Different types of noisy channels with memory, such as amplitude damping, phase-damping, and depolarizing channels have been taken into account. Some analytical or numerical results are presented. The effect of channels with memory on dynamics of quantum correlations has been discussed in detail. The results show that, steady-state entanglement between two initial qubits without entanglement subject to amplitude damping channel with memory can be generated. The entanglement creation is related to the memory coefficient of channel µ. The stronger the memory coefficient of channel µ is, the more the entanglement creation is, and the earlier the separable state becomes the entangled state. The result also shows that there exists nonlocality in the absence of entanglement. Besides, we compare the dynamics of entanglement with that of quantum discord when a two-qubit system is initially prepared in an entangled state. We show that entanglement dynamics suddenly disappears, while quantum discord displays only in the asymptotic limit. Furthermore, two-qubit quantum correlations can be preserved at a long time in the limit of µ → 1.

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“…Physically, the threshold values ofΩ s andΩ a separate what we can identify as the non-Markovian (memory preserved) regime from the Markovian (memoryless) regime of the evolution [67][68][69][70]. The case (a), in whichΩ s andΩ a are real so the Rabi frequencies contribute to the decay rates, that the exponentially decaying amplitudes of the symmetric and antisymmetric states are a manifestation of a Markovian evolution.…”

Section: Markovian and Non-markovian Regimes Of The Evolutionsmentioning

confidence: 99%

Collective dynamics and entanglement of two distant atoms embedded into single-negative index material

Fang¹,

Li²,

Yang³

et al. 2017

Opt. Express

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We study the dynamics of two two-level atoms embedded near to the interface of paired meta-material slabs, one of negative permeability and the other of negative permittivity. The interface behaves as a plasmonic waveguide composed of surface-plasmon polariton modes. It is found that significantly different dynamics occur for the resonant and an off-resonant couplings of the plasma field to the atoms. In the case of the resonant coupling, the plasma field does not appear as a dissipative reservoir to the atoms. We adopt the image method and show that the dynamics of the two atoms are completely equivalent to those of a four-atom system. Moreover, two threshold coupling strengths exist, one corresponding to the strength of coupling of the plasma field to the symmetric and the other the antisymmetric mode of the two-atom system. The thresholds distinguish between the non-Markovian (memory preserving) and Markovian (memoryless) regimes of the evolutions that different time scales of the evolution of the memory effects and entanglement can be observed. The Markovian regime is characterized by exponentially decaying whereas the non-Markovian regime by sinusoidally oscillating contributions to the evolution of the probability amplitudes. The solutions predict a large and long living entanglement mediated by the plasma field in both Markovian and non-Markovian regimes of the evolution. We also show that a simultaneous Markovian and non-Markovian regime of the evolution may occur in which the memory effects exist over a finite evolution time. In the case of an off-resonant coupling of the atoms to the plasma field, the atoms interact with each other by exchanging virtual photons which results in the dynamics corresponding to those of two atoms coupled to a common reservoir. In addition, the entanglement is significantly enhanced under the off-resonant coupling.

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Harnessing non-Markovian quantum memory by environmental coupling

Cited by 89 publications

References 78 publications

Decoherence dynamics of interacting qubits coupled to a bath of local optical phonons

Decoherence dynamics of interacting qubits coupled to a bath of local optical phonons

Generation and protection of steady-state quantum correlations due to quantum channels with memory

Collective dynamics and entanglement of two distant atoms embedded into single-negative index material

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