Quantum interference and evolution of entanglement in a system of three-level atoms

Derkacz, Łukasz; Jakóbczyk, Lech

doi:10.1103/physreva.74.032313

Cited by 64 publications

(54 citation statements)

References 23 publications

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“…For example, [10] modeled two-qubit systems such as pairs of atoms in a dephasing-noise environment, whereas [13] modeled two-qutrit systems corresponding to two three-level atoms whose two uncoupled excited levels undergo spontaneous emission to the ground state. In this section, we examine the model first introduced in [10], namely, that of a two-qubit system subject to classical dephasing noise.…”

Section: A Model and Measuresmentioning

confidence: 99%

Disentanglement and decoherence in two-spin and three-spin systems under dephasing

Ann

Jaeger

2007

Phys. Rev. B

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We compare disentanglement and decoherence rates within two-spin and three-spin entangled systems subjected to all possible combinations of local and collective pure dephasing noise combinations. In all cases, the bipartite entanglement decay rate is found to be greater than or equal to the dephasing-decoherence rates and often significantly greater. This sharpens previous results for two-spin systems [Phys. Rev. B 56, 165322 (2003)] and extends them to the three-spin context.

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Section: A Model and Measuresmentioning

confidence: 99%

Disentanglement and decoherence in two-spin and three-spin systems under dephasing

Ann

Jaeger

2007

Phys. Rev. B

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“…whereV is the (27), and Lρ is the damping term 38,39 : The spontaneous emission of atoms 1 and 2 from their excited states |3 to the ground states |1 is described by the spontaneous decay rate γ e , similarly γ d is the spontaneous decay rate of excited |2 to the ground |1 . For the derivation of the master equation, we choose the basis:…”

Section: Lindblad Equationmentioning

confidence: 99%

Entanglement dynamics of two nitrogen vacancy centers coupled by a nanomechanical resonator

Toklikishvili

Chotorlishvili

Mishra

et al. 2017

J. Phys. B: At. Mol. Opt. Phys.

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In this paper we study the time evolution of the entanglement between two remote NV Centers (nitrogen vacancy in diamond) connected by a dual-mode nanomechanical resonator with magnetic tips on both sides. Calculating the negativity as a measure for the entanglement, we find that the entanglement between two spins oscillates with time and can be manipulated by varying the parameters of the system. We observed the phenomenon of a sudden death and the periodic revivals of entanglement in time. For the study of quantum decoherence, we implement a Lindblad master equation. In spite of its complexity, the model is analytically solvable under fairly reasonable assumptions, and shows that the decoherence influences the entanglement, the sudden death, and the revivals in time.

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“…Exact solutions for two uncoupled qutrits interacting with the vacuum are obtained in Ref. 6. For the case of qutrits interacting with a stochastic magnetic field, the exact solutions are obtained in Ref.…”

Section: Introductionmentioning

confidence: 99%

Entanglement Dynamics in Finite Qudit Chain in Consistent Magnetic Field

Ivanchenko

2012

Int. J. Quantum Inform.

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Based on the Liouville-von Neumann equation, we obtain a closed system of equations for the description of a qutrit or coupled qutrits in an arbitrary, time-dependent, external magnetic field. The dependence of the dynamics on the initial states and the magnetic field modulation is studied analytically and numerically. We compare the relative entanglement measure's dynamics in bi-qudits with permutation particle symmetry. We find the magnetic field modulation which retains the entanglement in the system of two coupled qutrits. Analytical formulae for the entanglement measures in finite chains from 2 to 6 qutrits or 3 quartits are presented.

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Quantum interference and evolution of entanglement in a system of three-level atoms

Cited by 64 publications

References 23 publications

Disentanglement and decoherence in two-spin and three-spin systems under dephasing

Disentanglement and decoherence in two-spin and three-spin systems under dephasing

Entanglement dynamics of two nitrogen vacancy centers coupled by a nanomechanical resonator

Entanglement Dynamics in Finite Qudit Chain in Consistent Magnetic Field

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