Electric dipole moment oscillations in Aharonov-Bohm quantum rings

Alexeev, Arseny; Portnoi, M. E.

doi:10.1103/physrevb.85.245419

Cited by 42 publications

(50 citation statements)

References 24 publications

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“…In the limit d → 0 we recover the standard particle on a ring. Most notably, our electron on a helix system is equivalent to an electron on a quantum ring pierced by a magnetic flux and subject to a lateral electric field [52][53][54][55]. In the Aharonov-Bohm ring problem, the role of the quasimomentum in the nanohelices is formally played by a magnetic flux in the units of the flux quantum.…”

Section: Introductionmentioning

confidence: 99%

Nanohelices as superlattices: Bloch oscillations and electric dipole transitions

2016

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Subjecting a nanohelix to a transverse electric field gives rise to superlattice behavior with tunable electronic properties. We theoretically investigate such a system and find Bloch oscillations and negative differential conductance when a longitudinal electric field (along the nanohelix axis) is also applied. Furthermore, we study dipole transitions across the transverse-electric-field-induced energy gap, which can be tuned to the eulogized terahertz frequency range by experimentally attainable external fields. We also reveal a photogalvanic effect by shining circularly polarized light onto our helical quantum wire.

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Section: Introductionmentioning

confidence: 99%

Nanohelices as superlattices: Bloch oscillations and electric dipole transitions

2016

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“…For experimentally attainable QRs, ε QR corresponds to the THz frequency range. 32 When the lateral electric field is applied, the modified electron eigenfunctions can be expressed as a linear combination of the unperturbed wave functions (1):…”

Section: Modelmentioning

confidence: 99%

“…When the magnetic flux through the QR is equal to a half-integer number of flux quanta, these transitions are linearly polarized with the polarization vector normal to the direction of the external electric field, and their frequencies are completely controlled by the magnitude of the applied electric field. 31,32 This provides additional means of tuning the QR emission spectrum.…”

Section: Introductionmentioning

confidence: 99%

“…Recently it was shown that an external lateral electric field, which is known to reduce the QR symmetry and suppress the energy oscillations for the low-energy states, 27,28 also modifies optical properties of the QR. [29][30][31][32] Namely, the application of a weak electric field leads to magneto-oscillations of the degree of polarization of optical transitions between the ground and the first excited states, which are typically in the THz range. When the magnetic flux through the QR is equal to a half-integer number of flux quanta, these transitions are linearly polarized with the polarization vector normal to the direction of the external electric field, and their frequencies are completely controlled by the magnitude of the applied electric field.…”

Section: Introductionmentioning

confidence: 99%

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Aharonov-Bohm quantum rings in high-Qmicrocavities

2013

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A single-mode microcavity with an embedded Aharonov-Bohm quantum ring, which is pierced by a magnetic flux and subjected to a lateral electric field, is studied theoretically. It is shown that external electric and magnetic fields provide additional means of control of the emission spectrum of the system. In particular, when the magnetic flux through the quantum ring is equal to a half-integer number of the magnetic flux quantum, a small change in the lateral electric field allows tuning of the energy levels of the quantum ring into resonance with the microcavity mode providing an efficient way to control the quantum ring-microcavity coupling strength. Emission spectra of the system are calculated for several combinations of the applied magnetic and electric fields.

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“…Methods of generating AB phases have growth in different fields, representing an important role in solid-state interferometers [7,8], nanotubes [9], transmission microscopy [10], AlSb/InAs heterostructures [11], quantum Hall effect regime [12], Kondo resonance [13] and spin transport [14]. Detection of this effect in photonic states [15], optical induction in mesoscopic systems [16] and interaction of AB ring in a high-Q cavity [17,18,19] are examples of the increasing importance of such effect in interacting light-and-matter systems and optical analogues of the AB effect [20].…”

Section: Introductionmentioning

confidence: 99%

Optical and spin-optical superpositions modulated by Aharonov–Bohm effect

Prudencio

2017

Int. J. Quantum Inform.

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Generation of Aharonov-Bohm (AB) phase has achieved a state-ofthe-art in mesoscopic systems with manipulation and control of the AB effect. The possibility of transfer information enconded in such systems to non-classical states of light increases the possible scenarios where the information can be manipulated and transfered. In this paper we propose a quantum transfer of the AB phase generated in a spintronic device, a topological spin transistor (TST), to an quantum optical device, a coherent state superposition in high-Q cavity and discuss optical and spinoptical superpositions in the presence of an AB phase. We demonstrate that the AB phase generated in the TST can be transfered to the coherent state superposition, considering the interaction with the spin state and the quantum optical manipulation of the coherent state superposition. We show that these cases provide examples of two-qubit states modulated by AB effect and that the phase parameter can be used to control the degree of rotation of the qubit state. We also show under a measurement on the spin basis, an optical one-qubit state that can be modulated by the AB effect. In these cases, we consider a dispesive interaction between a coherent state and a spin state with an acquired AB phase and also discuss a dissipative case where a given Lindblad equation is achieved and solved.

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Electric dipole moment oscillations in Aharonov-Bohm quantum rings

Cited by 42 publications

References 24 publications

Nanohelices as superlattices: Bloch oscillations and electric dipole transitions

Nanohelices as superlattices: Bloch oscillations and electric dipole transitions

Aharonov-Bohm quantum rings in high-Qmicrocavities

Optical and spin-optical superpositions modulated by Aharonov–Bohm effect

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