Fractional Bloch oscillations in photonic lattices

Corrielli, Giacomo; Crespi, Andrea; Valle, Giuseppe Della; Longhi, Stefano; Osellame, Roberto

doi:10.1038/ncomms2578

Cited by 140 publications

(136 citation statements)

References 38 publications

(49 reference statements)

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“…We envisage that the present results could be of relevance to different physical fields, ranging from ultacold atoms, quantum dot arrays and photonic waveguide lattices where the physics of few-particle Hubbard models can be simulated in a controllable way. In particular, two-particle surface BIC states predicted in our work could be observed as surface (corner) states in two-dimensional square lattices of evanescently-coupled optical waveguides with controlled defects [36]. It would be also interesting to extend our results to the three-particle or many-particle cases.…”

Section: Resultsmentioning

confidence: 76%

Tamm–Hubbard surface states in the continuum

Longhi

Valle

2013

J. Phys.: Condens. Matter

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Abstract. In the framework of the Bose-Hubbard model, we show that two-particle surface bound states embedded in the continuum (BIC) can be sustained at the edge of a semi-infinite one-dimensional tight-binding lattice for any infinitesimally-small impurity potential V at the lattice boundary. Such thresholdless surface states, that can be referred to as Tamm-Hubbard BIC states, exist provided that the impurity potential V is attractive (repulsive) and the particle-particle Hubbard interaction U is repulsive (attractive), i.e. for U V < 0.

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Section: Resultsmentioning

confidence: 76%

Tamm–Hubbard surface states in the continuum

Longhi

Valle

2013

J. Phys.: Condens. Matter

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“…Despite the promising applications for ultra-sensitive sensing [2,18,25] via Fano resonances, interesting continuation of this work would be to extend the slow light experiment using BEC by incorporating the extended Bose-Hubbard model in optomechanical systems [69,[94][95][96][97]. For instance, the extended BH model can lead to the large group delays due to additional interference by encompassing long-range atom-atom interactions within BEC [94].…”

Section: Discussionmentioning

confidence: 99%

Control of Fano resonances and slow light using Bose-Einstein condensates in a nanocavity

et al. 2017

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In this study, a standing wave in an optical nanocavity with Bose-Einstein condensate (BEC) constitutes a one-dimensional optical lattice potential in the presence of a finite two bodies atomic interaction. We report that the interaction of a BEC with a standing field in an optical cavity coherently evolves to exhibit Fano resonances in the output field at the probe frequency. The behaviour of the reported resonance shows an excellent compatibility with the original formulation of asymmetric resonance as discovered by Fano [U. Fano, Phys. Rev. 124, 1866(1961]. Based on our analytical and numerical results, we find that the Fano resonances and subsequently electromagnetically induced transparency of the probe pulse can be controlled through the intensity of the cavity standing wave field and the strength of the atom-atom interaction in the BEC. In addition, enhancement of the slow light effect by the strength of the atom-atom interaction and its robustness against the condensate fluctuations are realizable using presently available technology.

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“…Fundamental effects such as the emergence of correlations in twoparticle quantum walks were recently reported for interacting atoms in an optical lattice [13]. The control over the interacting atoms in the regime where the dynamics is dominated by interparticle interactions made it possible to observe the frequency doubling of Bloch oscillations, predicted for electron systems [22] and recently simulated with photons in a waveguide array [23].…”

Section: Introductionmentioning

confidence: 95%

Unidirectional quantum walk of two correlated particles: Manipulating bound-pair and unbound wave-packet components

Buarque¹,

Dias²

2017

Physics Letters A

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We study the unidirectional transport of two-particle quantum wavepackets in a regular onedimensional lattice. We show that the bound-pair state component behaves differently from unbound states when subjected to an external pulsed electric field. Thus, strongly entangled particles exhibit a quite distinct dynamics when compared to a single particle system. With respect to centroid motion, our numerical results are corroborated with an analytical expression obtained using a semiclassical approach. The wavefunction profile reveals that the particle-particle interaction induces the splitting of the initial wavepacket into two branches that propagate with specific directions and drift velocities. With a proper external field tunning, the wavepacket components can perform an unidirectional transport on the same or opposite directions. The amplitude of each mode is related to the degree of entanglement betweem particles, which presents a non-monotonic dependence on the interaction strength.

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Fractional Bloch oscillations in photonic lattices

Cited by 140 publications

References 38 publications

Tamm–Hubbard surface states in the continuum

Tamm–Hubbard surface states in the continuum

Control of Fano resonances and slow light using Bose-Einstein condensates in a nanocavity

Unidirectional quantum walk of two correlated particles: Manipulating bound-pair and unbound wave-packet components

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