Quantum-state transfer characterized by mode entanglement

Qian, Xiao–Feng; Li, Ying; Li, Yong; Song, Z.; Sun, C. P.

doi:10.1103/physreva.72.062329

Cited by 30 publications

(37 citation statements)

References 16 publications

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Section: Reduced Density Matrix and Entanglementmentioning

confidence: 99%

The Peierls distorted chain as a quantum data bus for quantum state transfer

Huo¹,

Li²,

Song³

et al. 2008

Europhys. Lett.

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We systematically study the transfer of quantum state of electron spin as the flying qubit along a half-filled Peierls distorted tight-binding chain described by the Su-Schrieffer-Heeger (SSH) model, which behaves as a quantum data bus. This enables a novel physical mechanism for quantum communication with always-on interaction: the effective hopping of the spin carrier between sites A and B connected to two sites in this SSH chain can be induced by the quasi-excitations of the SSH model. As we prove, it is the Peierls energy gap of the SSH quasi-excitations that plays a crucial role to protect the robustness of the quantum state transfer process. Moreover, our observation also indicates that such a scheme can also be employed to explore the intrinsic property of the quantum system.

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Section: Reduced Density Matrix and Entanglementmentioning

confidence: 99%

The Peierls distorted chain as a quantum data bus for quantum state transfer

Huo¹,

Li²,

Song³

et al. 2008

Europhys. Lett.

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“…With these recognitions, it is found that modes, rather than particle labels, are universal concepts to properly describe the quantum entanglement of indistinguishable * Electronic address: songtc@nankai.edu.cn particle systems. This idea is used to characterize the ground-state entanglement of the BCS model [24] and superconductivity [23,29], and also it is investigated to derive the interesting relation between entanglement and quantum state transfer [30]. Some related works were also proposed by different authors [25,26,27,28] recently.…”

Section: Introductionmentioning

confidence: 99%

Relation between two measures of entanglement in spin-1∕2and spinless fermion quantum chain systems

Qian

Song

2006

Phys. Rev. A

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The concepts of concurrence and mode concurrence are the measures of entanglement for spin-1/2 and spinless fermion systems respectively. Based on the Jordan-Wigner transformation, any spin-1/2 system is always associated with a fermion system (called counterpart system). The comparison of concurrence and mode concurrence can be made with the aid of the Marshall's sign rule for the ground states of spin-1/2 XXZ and spinless fermion chain systems. We observe that there exists an inequality between concurrence and mode concurrence for the ground states of the two corresponding systems. The spin-1/2 XY chain system and its spinless fermion counterpart as a realistic example is discussed to demonstrate the analytical results.

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“…Recently, the subject of utilizing supercold atoms as highly reflecting mirrors has gained much attention. In particular, it has been demonstrated that a collection of cold atoms trapped near the surface of a one-dimensional waveguide can form a nearly perfect mirror for the radiation incident on the atoms [4][5][6]. The waveguide represents a photonic channel which enhances the electromagnetic field to which the atoms are coupled thereby leading to a strong collective behavior of the atoms.…”

Section: Introductionmentioning

confidence: 99%

Mirror and cavity formations by chains of collectively radiating atoms

Gulfam

Ficek

2016

Phys. Rev. A

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We search for mirror and cavity-like features of a linear chain of atoms in which one of the atoms is specially chosen as a probe atom that is initially prepared in its excited state or is continuously driven by a laser field. Short chains are considered, composed of only three and five atoms. The analysis demonstrate the importance of the inter atomic dipole-dipole interaction which may lead to a collective ordering of the emission along some specific directions. We examine the conditions under which the radiative modes available for the emission are only those contained inside a cone centered about the inter atomic axis. Particular interest is in achieving the one-way emission along the inter atomic axis, either into left (backward) or right (forward) direction, which is referred to as a mirror-like behavior of the atomic chain. A direction dependent quantity called the directivity function, which determines how effective the system is in concentrating the radiation into a given direction, is introduced. We show that the function depends crucially on the distance between the atoms and find that there is a threshold for the inter atomic distances above which a strongly directional emission can be achieved. The one-sided emission as a manifestation of the mirror-like behavior and a highly focused emission along the inter atomic axis as a characteristic of a single-mode cavity are demonstrated to occur in the stationary field. Below the threshold the directivity function is spherically symmetric. However, we find that the population can be trapped in one of the atoms, and sometimes in all atoms indicating that at these small distances the system decays to a state for which there are no radiative modes available for emission.

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Quantum-state transfer characterized by mode entanglement

Cited by 30 publications

References 16 publications

The Peierls distorted chain as a quantum data bus for quantum state transfer

The Peierls distorted chain as a quantum data bus for quantum state transfer

Relation between two measures of entanglement in spin-1∕2and spinless fermion quantum chain systems

Mirror and cavity formations by chains of collectively radiating atoms

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