Mobile bound states of Rydberg excitations in a lattice

Letscher, Fabian; Petrosyan, David

doi:10.1103/physreva.97.043415

Cited by 18 publications

(19 citation statements)

References 66 publications

(92 reference statements)

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“…7(b) corresponds to the interaction-induced bound states of two excitations. These bound states are identical to the magnon bound states in spin models [54,69] or the particle-bound states in Hubbard models [58][59][60][61][62]. They are characterized by exponentially decaying φ K (r) with the maximum at r = 1, showing that it is more likely to find the excitations at adjacent sites.…”

Section: Bound and Scattering Statesmentioning

confidence: 67%

“…At any instant, we have |ψ (t ) = i< j c i j (t )|i j , with i< j |c i j (t )| 2 = 1, and the time-dependent probability amplitudes c i j (t ) are obtained by solving the corresponding Schrödinger equations. We use the scaled two-body distribution i j (t ) = |c i j (t As for the case for the single excitation, the energy spectrum ofĤ t plays an important role in determining the dynamics of the two initially localized excitations [51,57,69]. To obtain the two-excitation spectrum, we introduce the center of mass R = (i + j)a/2 and the relative r = ( j − i)a coordinates.…”

Section: Two Excitationsmentioning

confidence: 99%

“…To simplify the analysis, we truncate the exchange couplings up to next-nearest-neighbor terms and the RRIs up to the nearest-neighbor terms. We obtain the energy of scattering and bound states as [69] 0…”

Section: Bound and Scattering Statesmentioning

confidence: 99%

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Dynamics of Rydberg excitations and quantum correlations in an atomic array coupled to a photonic crystal waveguide

et al. 2020

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We study the dynamics of up to two Rydberg excitations and the correlation growth in a chain of atoms coupled to a photonic crystal waveguide. In this setup, an excitation can hop from one atom to another via exponentially decaying exchange interactions mediated by the waveguide. An initially localized excitation undergoes a continuous-time quantum walk for short-range hopping, and for long-range hopping, it experiences quasilocalization. In addition, the inverse participation ratio reveals a superballistic diffusion of the excitation in short times, whereas, at a long time, it becomes ballistic. For two initially localized excitations, intriguing and complex dynamical scenarios emerge for different initial separations due to the competition between the Rydberg-Rydberg and exchange interactions. In particular, the two-point correlation reveals a light-cone behavior even for sufficiently long-range exchange interactions. Additionally, we characterize the growth of bipartite entanglement entropy, which exhibits a global bound if only one excitation is present in the dynamics. Finally, we analyze the effect of imperfections due to spontaneous emission from the Rydberg state into photons outside the waveguide and show that all of the physical phenomena we predict are well within experimental reach.

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Section: Bound and Scattering Statesmentioning

confidence: 67%

Section: Two Excitationsmentioning

confidence: 99%

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Dynamics of Rydberg excitations and quantum correlations in an atomic array coupled to a photonic crystal waveguide

et al. 2020

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“…For excitons separated by more than one site, the state evolution is governed byĤ ′ eff . Unlike spin systems reported earlier [23,46], the long-range interaction U ij can be tuned much larger than the exchange rate J ij here, which results in a highly anisotropic XXZ model and permits the existence of high-order bound states. If the NNN interaction U i,i+2 is sufficiently larger than the NN hopping rate J i,i+1 , excitons separated by one lattice site also forms bound state and exhibits correlated motion.…”

mentioning

confidence: 82%

Quantum Transport of Rydberg Excitons with Synthetic Spin-Exchange Interactions

Yang

You

2019

Phys. Rev. Lett.

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We present a scheme for engineering quantum transport dynamics of spin excitations in a chain of laser-dressed Rydberg atoms, mediated by synthetic spin-exchange arising from diagonal van der Waals interaction. The dynamic tunability and long-range interaction feature of our scheme allows for the exploration of transport physics unattainable in conventional spin systems. As two concrete examples, we first demonstrate a topological exciton pumping protocol that facilitates quantized entanglement transfer, and secondly we discuss a highly nonlocal correlated transport phenomenon which persists even in the presence of dephasing. Unlike previous schemes, our proposal requires neither resonant dipole-dipole interaction nor off-diagonal van der Waals interaction. It can be readily implemented in existing experimental systems.

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“…When this is the case, the denominator the integrals in Eq. (12) can be simplified to (4β cos(q) − α) 2 /(4β). We can then evaluate the NNN integrals without using contour integration, but find these solutions do not obey the bound state solution.…”

Section: Appendix D Next-nearest-neighbour Bound State Solutionmentioning

confidence: 99%

Decay rates and energies of free magnons and bound states in dissipative XXZ chains

Parmee

Cooper

2019

Phys. Rev. A

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Chains of coupled two-level atoms behave as 1D quantum spin systems, exhibiting free magnons and magnon bound states. While these excitations are well studied for closed systems, little consideration has been given to how they are altered by the presence of an environment. This will be especially important in systems that exhibit nonlocal dissipation, e.g. systems in which the magnons decay due to optical emission. In this work, we consider free magnon excitations and two-magnon bound states in an XXZ chain with nonlocal dissipation. We prove that whilst the energy of the bound state can lie outside the two-magnon continuum of energies, the decay rate of the bound state has to always lie within the two-magnon continuum of decay rates. We then derive analytically the bound state solutions for a system with nearest-neighbour and next-nearest-neighbour XY interaction and nonlocal dissipation, finding that the inclusion of nonlocal dissipation allows more freedom in engineering the energy and decay rate dispersions for the bound states. Finally, we numerically study a model of an experimental set-up that should allow the realisation of dissipative bound states by using Rydberg-dressed atoms coupled to a photonic crystal waveguide (PCW). We demonstrate that this model can exhibit many key features of our simpler models.

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Mobile bound states of Rydberg excitations in a lattice

Cited by 18 publications

References 66 publications

Dynamics of Rydberg excitations and quantum correlations in an atomic array coupled to a photonic crystal waveguide

Dynamics of Rydberg excitations and quantum correlations in an atomic array coupled to a photonic crystal waveguide

Quantum Transport of Rydberg Excitons with Synthetic Spin-Exchange Interactions

Decay rates and energies of free magnons and bound states in dissipative XXZ chains

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