Non-Markovian dynamics of a single electron spin coupled to a nuclear spin bath

Ferraro, Elena; Breuer, Heinz‐Peter; Napoli, A.; Jivulescu, Maria Anastasia; Messina, A.

doi:10.1103/physrevb.78.064309

Cited by 76 publications

(86 citation statements)

References 19 publications

(38 reference statements)

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“…For this case a general consistent theoretical framework has not yet been found, and partial results have been obtained as a result of intense efforts (see, e.g., Refs. [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21]). An important step in the development of a general theory consists in the construction of a suitable measure that quantifies the degree of non-Markovianity for a given dynamical evolution [22,23].…”

Section: Introductionmentioning

confidence: 99%

Exact master equations for the non-Markovian decay of a qubit

2010

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Exact master equations describing the decay of a two-state system into a structured reservoir are constructed. Employing the exact solution for the model we determine analytical expressions for the memory kernel of the Nakajima-Zwanzig master equation and for the generator of the corresponding time-convolutionless master equation. This approach allows a detailed investigation and comparison of the convergence behavior of the corresponding perturbation expansions. Moreover, we find that the structure of widely used phenomenological master equations with memory kernel may be incompatible with a non-perturbative treatment of the underlying microscopic model. We discuss several physical implications of our results on the microscopic analysis and the phenomenological modelling of non-Markovian quantum dynamics of open systems.

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Section: Introductionmentioning

confidence: 99%

Exact master equations for the non-Markovian decay of a qubit

2010

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“…[25] and [23] as two examples to illustrate our method. First consider a two-state system coupled to an environment.…”

Section: Quantum Jumpmentioning

confidence: 99%

“…First, only the lower band of the environment is populated, i.e. ρ Another example is a qubit coupled to a spin bath [23]. The full system consists of a central spin interacting with a bath of N spins.…”

Section: Quantum Jumpmentioning

confidence: 99%

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Non-Markovian quantum jump with generalized Lindblad master equation

Huang

Sun

2008

Phys. Rev. E

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The Monte Carlo wave function method or the quantum trajectory/jump approach is a powerful tool to study dissipative dynamics governed by the Markovian master equation, in particular for high-dimensional systems and when it is difficult to simulate directly. In this paper, we extend this method to the non-Markovian case described by the generalized Lindblad master equation.Two examples to illustrate the method are presented and discussed. The results show that the method can correctly reproduce the dissipative dynamics for the system. The difference between this method and the traditional Markovian jump approach and the computational efficiency of this method are also discussed.

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“…One of the most promising candidates for quantum computation, solidstate spin systems, are inevitably coupled to their surrounding environment, usually through interactions with neighboring nuclear spins [6,23,24]. The coupling of a qubit to a spin bath can in general lead to non-Markovian behavior [25][26][27], causing the usual Markovian quantum master equations to fail for such models. Most recently, it was demonstrated for the first time that a spin bath can assist coherent transport in a two-level system [21].…”

Section: Introductionmentioning

confidence: 99%

Rabi oscillations, decoherence, and disentanglement in a qubit–spin-bath system

Nanduri

Rabitz

2014

Phys. Rev. A

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We examine the influence of environmental interactions on simple quantum systems by obtaining the exact reduced dynamics of a qubit coupled to a one-dimensional spin bath. In contrast to previous studies, both the qubit-bath coupling and the nearest neighbor intrabath couplings are taken as the spin-flip XX-type. We first study the Rabi oscillations of a single qubit with the spin bath prepared in a spin coherent state, finding that nonresonance and finite intrabath interactions have significant effects on the qubit dynamics. Next, we discuss the bath-induced decoherence of the qubit when the bath is initially in the ground state, and show that the decoherence properties depend on the internal phases of the spin bath. By considering two independent copies of the qubitbath system, we finally probe the disentanglement dynamics of two noninteracting entangled qubits. We find that entanglement sudden death appears when the spin bath is in its critical phase. We show that the single-qubit decoherence factor is an upper bound for the two-qubit concurrence.

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Non-Markovian dynamics of a single electron spin coupled to a nuclear spin bath

Cited by 76 publications

References 19 publications

Exact master equations for the non-Markovian decay of a qubit

Exact master equations for the non-Markovian decay of a qubit

Non-Markovian quantum jump with generalized Lindblad master equation

Rabi oscillations, decoherence, and disentanglement in a qubit–spin-bath system

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