Tailored long range forces on polarizable particles by collective scattering of broadband radiation

Collective scattering of spatially coherent radiation by separated point emitters induces inter-particle forces. For particles close to nano-photonic structures as, for example, nano-fibers, hollow core fibers or photonic waveguides, this pair-interaction induced by monochromatic light is periodic and virtually of infinite range. Here we show that the shape and range of the optical interaction potential can be precisely controlled by spectral design of the incoming illumination. If each particle is only weakly coupled to the confined guided modes the forces acting within a particle ensemble can be decomposed to pairwise interactions. These forces can be tailored to almost arbitrary spatial dependence as they are related to Fourier transforms with coefficients controlled by the intensities and frequencies of the illuminating lasers. We demonstrate the versatility of the scheme by highlighting some examples of unconventional pair potentials. Implementing these interactions in a chain of trapped quantum particles could be the basis of a versatile quantum simulator with almost arbitrary all-to-all interaction control.

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“…Here we give a short derivation of the basic equations presented in the paper, more details can be found in [5,8].…”

Section: Discussionmentioning

confidence: 99%

Synthesizing variable particle interaction potentials via spectrally shaped spatially coherent illumination

Holzmann¹,

Sonnleitner²,

Ritsch³

2018

New J. Phys.

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“…The quite pronounced exponential decay of the couplings with distance can be achieved by allowing each mode to have a certain (Lorentzian) bandwidth within the interval of allowed propagation constants as opposed to only one discrete contribution. The bandwidths are chosen in such a way that there is an overlap between the modes of a few percent [21].…”

Section: Collective Decay In Multimode Fibersmentioning

confidence: 99%

“…Similarly, atoms have been trapped inside hollow core photonic crystal fibers for spectroscopy [12][13][14][15] or nonlinear optics [16] and even single molecules were coupled to dielectric nano-waveguides [17]. In parallel, a great deal of theoretical investigations of the effective collective atom-field dynamics, the resulting light forces and possible applications in these systems have been carried out ranging from self organization [18][19][20][21], to nonlinear scattering [22,23]. Applications of the collective radiative behavior into the light modes also point towards improved photonic memories [24].…”

Section: Introductionmentioning

confidence: 99%

Super- and subradiance of clock atoms in multimode optical waveguides

et al. 2019

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The transversely confined propagating modes of an optical fiber mediate virtually infinite range energy exchanges among atoms placed within their field, which adds to the inherent free space dipole-dipole coupling. Typically, the single atom free space decay rate largely surpasses the emission rate into the guided fiber modes. However, scaling up the atom number as well as the system size amounts to entering a collective emission regime, where fiber-induced superradiant spontaneous emission dominates over free space decay. We numerically study this super-and subradiant decay of highly excited atomic states for one or several transverse fiber modes as present in hollow core fibers. As particular excitation scenarios we compare the decay of a totally inverted state to the case of π/2 pulses applied transversely or along the fiber axis as in standard Ramsey or Rabi interferometry. While a mean field approach fails to correctly describe the initiation of superradiance, a second-order approximation accounting for pairwise atom-atom quantum correlations generally proves sufficient to reliably describe superradiance of ensembles from two to a few hundred particles. In contrast, a full account of subradiance requires the inclusion of all higher order quantum correlations. Considering multiple guided modes introduces a natural effective cut-off for the interaction range emerging from the dephasing of different fiber contributions.

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“…Hence frequency matching of only two lines will automatically align a huge manifold of frequency components. In general the frequency distribution of the pump light then gives a direct handle on the spatial shape of the interaction forces [23].…”

Section: Introductionmentioning

confidence: 99%

Self-ordering and cavity cooling using a train of ultrashort pulses

et al. 2020

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A thin atomic gas in an optical resonator exhibits a phase transition from a homogeneous density to crystalline order when laser illuminated orthogonal to the resonator axis. We study this well-known self-organization phenomenon for a generalized pumping scheme using a femtosecond pulse train with a frequency spectrum spanning a large bandwidth covering many cavity modes. We show that due to simultaneous scattering into adjacent longitudinal cavity modes the induced light forces and the atomic dynamics becomes nearly translation-invariant along the cavity axis. In addition the laser bandwidth introduces a new correlation length scale within which clustering of the atoms is energetically favorable. Numerical simulations allow us to determine the self-consistent ordering threshold power as function of bandwidth and atomic cloud size. We find strong evidence for a change from a second order to a first order self-ordering phase transition with growing laser bandwidth when the size of the atomic cloud gets bigger than the clustering length. An analysis of the cavity output reveals a corresponding transition from a single to a double pulse traveling within the cavity. This doubles the output pulse repetition rate and creates a new time crystal structure in the cavity output. Simulations also show that multi-mode operation significantly improves cavity cooling generating lower kinetic temperatures at a much faster cooling rate.

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Tailored long range forces on polarizable particles by collective scattering of broadband radiation

Cited by 11 publications

References 37 publications

Synthesizing variable particle interaction potentials via spectrally shaped spatially coherent illumination

Synthesizing variable particle interaction potentials via spectrally shaped spatially coherent illumination

Super- and subradiance of clock atoms in multimode optical waveguides

Self-ordering and cavity cooling using a train of ultrashort pulses

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