Topological Quantum Effects for Neutral Particles

Aharonov, Yakir; Casher, A.

doi:10.1103/physrevlett.53.319

Cited by 1,185 publications

(1,072 citation statements)

References 6 publications

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“…In particular, there are steady state bipartite correlations in the presence of dephasing. Our results show that the steady state bipartite correlations can be adjusted via phase shift [33][34][35]. Finally, we study the multipartite correlations measured by spin-squeezing of the whole spin chain.…”

Section: Introductionmentioning

confidence: 76%

“…The Hamiltonian of the N-site quantum Heisenberg chain with nearest-neighbor coupling and phase shift is [33][34][35]:…”

Section: The Model Heisenberg Chain With Phase Shiftmentioning

confidence: 99%

“…where ϕ is the phase shift induced by the AharonovCasher e ect [34], J is the exchange interaction constant, σ x i , σ y i and σ z i are the Pauli matrices of the ith qubit, and σ ± i = (σ x i ± iσ y i ) are the raising and lowering operators, respectively. The chain is said to be antiferromagnetic for J > and ferromagnetic for J < .…”

Section: The Model Heisenberg Chain With Phase Shiftmentioning

confidence: 99%

“…In the present paper, we investigate the e ects of phase shift [33][34][35] on the dynamics of bipartite correlations (measured by concurrence, discord, and geometric discord) and multipartite correlations (measured by spinsqueezing) of a spin chain under dephasing. We rst derive an analytical solution of the model.…”

Section: Introductionmentioning

confidence: 99%

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Effects of phase shift on bipartite and multipartite correlations of a spin chain under dephasing

Chen

Zhang

2015

Open Physics

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Abstract:We investigate the e ects of phase shift on entanglement, quantum discord, geometric discord, and spinsqueezing of a Heisenberg chain under dephasing. An analytical solution of the present model is obtained. Our results show that the initial correlations of the spin chain could be partially stored for a long time in the presence of dephasing and the amount of steady state correlations can be adjusted via phase shift. Particularly, we nd the e ects of phase shift on quantum discord and geometric discord are not always the same, i.e., the increase of geometric discord does not always imply the increase of quantum discord. Then, we calculate the spin-squeezing of the spin chain and nd that spin-squeezing rst increases with time and then reaches a plateau. The amount of spin-squeezing can be controlled via phase shift.

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Section: Introductionmentioning

confidence: 76%

“…The Hamiltonian of the N-site quantum Heisenberg chain with nearest-neighbor coupling and phase shift is [33][34][35]:…”

Section: The Model Heisenberg Chain With Phase Shiftmentioning

confidence: 99%

Section: The Model Heisenberg Chain With Phase Shiftmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Effects of phase shift on bipartite and multipartite correlations of a spin chain under dephasing

Chen

Zhang

2015

Open Physics

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“…The Aharonov-Bohm (AB) [10] and Aharonov-Casher (AC) [11] effects are typical manifestations of quantum interference in such type of structures. In a coherent ring threaded by external magnetic flux the wave function of the electron acquires an AB phase.…”

Section: Introductionmentioning

confidence: 99%

On the Quantum Transport through an Asymmetric Aharonov-Bohm Ring with Rashba Spin-Orbit Interaction

Baltateanu

2011

Acta Phys. Pol. A

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The transmission amplitude through an asymmetric Aharonov-Bohm ring is derived analytically, in the presence of the Rashba spin-orbit interaction. For this purpose, one resorts to the transfer matrix method. The conductance is established in terms of the Landauer formalism and it is analyzed for different values of the asymmetry and ring-lead coupling parameters. A theoretical proposal to use the asymmetric ring like a spin filtering device is discussed, by an adequate tuning of the Aharonov-Bohm and Aharonov-Casher phases (via the magnetic field and the Rashba parameter).

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Charges and Fluxons

Aharonov

Rohrlich

2005

Quantum Paradoxes

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Previous chapters of this book treat quantum measurements within nonrelativistic quantum mechanics, where they correspond well with what experiments can measure. In the next chapter, quantum measurements go relativistic -and the correspondence breaks down. Here, however, we take a break from quantum measurements. This chapter is exceptional in another respect, too. While other chapters begin with quantum paradoxes, this one begins with a classical (relativistic) paradox [1]. Although the paradox is entirely classical, its discussion and resolution came as late as 1967. No one seems to have noticed it before. The paradox is crucial for clarifying the entirely quantum interactions of "fluxons" and charges -the generalized Aharonov-Bohm effect of this chapter.

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Topological Quantum Effects for Neutral Particles

Cited by 1,185 publications

References 6 publications

Effects of phase shift on bipartite and multipartite correlations of a spin chain under dephasing

Effects of phase shift on bipartite and multipartite correlations of a spin chain under dephasing

On the Quantum Transport through an Asymmetric Aharonov-Bohm Ring with Rashba Spin-Orbit Interaction

Charges and Fluxons

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