Electronic Casimir—Polder Force in a One-dimensional Tight-Binding Nanowire at Finite Temperature

Yang, Hui; Yang, Liping; Zheng, T. Y.

doi:10.1088/0253-6102/66/5/541

Cited by 2 publications

(4 citation statements)

References 43 publications

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“…Moreover, Figure 3 explicitly shows that r 2 ∆E 3D settles to a constant value after the transition zone between near and far zone at r ∼ k −1 0 . Our numerical evaluation of (26) in the first and next Brillouin zones has also allowed us to check the rapid convergence of the k integral over the Brillouin zones, in agreement with our previous analytical considerations. shows that, after the transition region between the near and far zone at r ∼ 5 • 10 −6 m, the function r 2 ∆E 3D asymptotically settles to a constant value.…”

Section: The Resonance Interaction In a Photonic Bandgap Environmentsupporting

confidence: 82%

“…For example, the possible fundamental role of resonant interactions in long-distance biomolecular recognition has been recently argued 24 . An analogous interaction, mediated by the exchange of an electron in the continuum band of the wire, has been shown for two impurities (adatoms) embedded in a semiconductor quantum wire 25,26 .…”

Section: Introductionmentioning

confidence: 72%

“…We have evaluated numerically the integrals over k in (26) with the exact dispersion relation (7), using the same values of the parameters chosen for our previous considerations on our analytical results. The periodicity of the photonic crystal is thus L = 1.6 · 10 −7 m and the first gap is at k 0 = 1.96 · 10 7 m −1 .…”

Section: /12mentioning

confidence: 99%

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Resonance interaction energy between two entangled atoms in a photonic bandgap environment

Notararigo

Passante

Rizzuto

2018

Sci Rep

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We consider the resonance interaction energy between two identical entangled atoms, where one is in the excited state and the other in the ground state. They interact with the quantum electromagnetic field in the vacuum state and are placed in a photonic-bandgap environment with a dispersion relation quadratic near the gap edge and linear for low frequencies, while the atomic transition frequency is assumed to be inside the photonic gap and near its lower edge. This problem is strictly related to the coherent resonant energy transfer between atoms in external environments. The analysis involves both an isotropic three-dimensional model and the one-dimensional case. The resonance interaction asymptotically decays faster with distance compared to the free-space case, specifically as 1/r2 compared to the 1/r free-space dependence in the three-dimensional case, and as 1/r compared to the oscillatory dependence in free space for the one-dimensional case. Nonetheless, the interaction energy remains significant and much stronger than dispersion interactions between atoms. On the other hand, spontaneous emission is strongly suppressed by the environment and the correlated state is thus preserved by the spontaneous-decay decoherence effects. We conclude that our configuration is suitable for observing the elusive quantum resonance interaction between entangled atoms.

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Section: The Resonance Interaction In a Photonic Bandgap Environmentsupporting

confidence: 82%

Section: Introductionmentioning

confidence: 72%

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Resonance interaction energy between two entangled atoms in a photonic bandgap environment

Notararigo

Passante

Rizzuto

2018

Sci Rep

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“…Similar to the Casimir effect [6] which predicts the attractive interaction between two huge parallel metal plates, the Casimir-Polder force [7] between the macroscopic object and neutral polarization particles is nowadays attracting more and more attentions [8][9][10][11][12][13][14][15] due to its wide applications in quantum information processing and design of quantum devices. Combining the recent process in waveguide QED and studies about the Casimir-Polder force, we here investigate the interplay between the photon propagation in the waveguide and Casimir-Polder force.…”

Section: Introductionmentioning

confidence: 99%

Dynamical Casimir–Polder force in a semi-infinite rectangle waveguide

Jin¹,

Tian²,

Wang³

et al. 2022

Laser Phys.

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In this paper, we study the dynamical Casimir–Polder force between an ensemble of identical two-level atoms and the wall of a rectangle waveguide with semi-infinite length. With the presence of both the rotating wave and counter rotating wave terms in the light–matter interaction Hamiltonian, we utilize the perturbation theory to solve the Heisenberg equation. Up to the seconder of coupling strength, we obtain the energy shift analytically and the Casimir–Polder force numerically. Our result shows that the dynamical behavior of the Casimir force is closely connected to the photon propagation in the waveguide. Therefore, we hope this work will stimulate the studies about the quantum effect in waveguide scenario.

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Electronic Casimir—Polder Force in a One-dimensional Tight-Binding Nanowire at Finite Temperature

Cited by 2 publications

References 43 publications

Resonance interaction energy between two entangled atoms in a photonic bandgap environment

Resonance interaction energy between two entangled atoms in a photonic bandgap environment

Dynamical Casimir–Polder force in a semi-infinite rectangle waveguide

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