ultra-long-range molecule engineering via rydberg-dressingultra-long-range molecule engineering via...

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Ultra-long-range molecule engineering via Rydberg-dressing Jia Wang 1 and Robin Cˆ ot´ e 2 1 Centre for Quantum and Optical Science, Swinburne University, Melbourne 3122, Australia 2 Department of Physics, University of Connecticut, Storrs, CT 06269, USA In 2000, the three seminal papers launched a new era in Rydberg physics, predicting the blockade mechanism [1], exploring Rydberg dressed interactions [2], and foreseeing trilobite-like molecules [3]. Here, we explore how a new binding mechanism between ground state atoms, based on Rydberg- dressing, can lead to ultra-long-range molecules. We show that by using far-detuned lasers to couple a small but adjustable Rydberg component to the ground state atom, localized long-range potential wells can be created that can support molecular bound levels (Fig. 1). 300 500 700 900 1100 1300 1500 1700 R (a.u.) -4 -3 -2 -1 0 1 U(R) (2p MHz) 18 21 24 27 30 33 W (2p MHz) 0.5 1.0 1.5 2.0 2.5 E b (2p MHz) 80 90 100 110 120 D (2p MHz) 0.5 1.0 1.5 2.0 2.5 W = 25 x 2p MHz D = 100 x 2p MHz D = 100 x 2p MHz W = 25 x 2p MHz (a) (b) (c) 0.5 1 2 4 8 16 R/R vdW -2500 -2000 -1500 -1000 -500 0 500 1000 V gg /E vdW -40 -20 0 20 V ge /E vdW Figure 1: Left: Sketch with dressing lasers. Right: (a) The dressed BO potential U (R) with lowest level (E b 0.72 MHz) and |ψ| 2 . In (b), E b vs. Ω for a specific Δ, and in (c), vs. Δ for a specific Ω. Figure 2: Two-color BO-PES (x and y in 1000 a 0 ).. We consider dressing with s, p, and d Ryd- berg states using different photon polarizations. We find that each type can sustain bound levels, with linear polarization leading to larger bind- ing energies. We also extend the treatment to polyatomic systems. Fig. 2 shows the BO-PES for a two-color dressing scheme, with one laser dressing with 30p 3/2 , and another with 35p 3/2 . The potential exhibits two minima at R 1400 a.u. (θ = 0 and π), and another at R 2000 a.u. (θ π/2). The 3D-plot depicts the wells in space based on the azimuthal symmetry of the system. This configuration could sustain a tetramer state, with one atom in the center, one in the torus, and one in each sphere. [1] D. Jaksch, J.I. Cirac, P. Zoller, S.L. Rolston, R. Cˆ ot´ e,, and M.D. Lukin, PRL 85, 2208 (2000). [2] L. Santos, G.V. Shlyapnikov, P. Zoller, and M. Lewenstein, PRL 85, 1791 (2000). [3] C.H. Greene, A.S. Dickinson, and H.R. Sadeghpour, PRL 85, 2458 (2000). This abstract was submitted to PQE-2019, the 49th Winter Colloquium on the Physics of Quantum Electronics. Submitted by Robin Cote on Wed Dec 5 13:45:10 CST 2018. See the program for placement of this presentation.

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Page 1: Ultra-long-range molecule engineering via Rydberg-dressingUltra-long-range molecule engineering via Rydberg-dressing Jia Wang 1 and Robin C^ote 2 1 Centre for Quantum and Optical Science,

Ultra-long-range molecule engineering via Rydberg-dressing

Jia Wang 1 and Robin Cote2

1Centre for Quantum and Optical Science, Swinburne University, Melbourne 3122, Australia2Department of Physics, University of Connecticut, Storrs, CT 06269, USA

In 2000, the three seminal papers launched a new era in Rydberg physics, predicting the blockademechanism [1], exploring Rydberg dressed interactions [2], and foreseeing trilobite-like molecules [3].Here, we explore how a new binding mechanism between ground state atoms, based on Rydberg-dressing, can lead to ultra-long-range molecules. We show that by using far-detuned lasers tocouple a small but adjustable Rydberg component to the ground state atom, localized long-rangepotential wells can be created that can support molecular bound levels (Fig. 1).

300 500 700 900 1100 1300 1500 1700R (a.u.)

-4-3-2-101

U(R

) (2p

MH

z)

18 21 24 27 30 33W (2p MHz)

0.51.01.52.02.5

E b(2p

MH

z)

80 90 100 110 120D (2p MHz)

0.51.01.52.02.5

W = 25 x 2p MHzD = 100 x 2p MHz

D = 100 x 2p MHzW = 25 x 2p MHz (a)

(b) (c)

0.5 1 2 4 8 16

R/RvdW

-2500

-2000

-1500

-1000

-500

0

500

1000

Vg

g/E

vdW

-40

-20

0

20

Vg

e/E

vdW

Ω

Figure 1: Left: Sketch with dressing lasers. Right: (a) The dressed BO potential U (R) with lowestlevel (Eb ∼0.72 MHz) and |ψ|2. In (b), Eb vs. Ω for a specific ∆, and in (c), vs. ∆ for a specific Ω.

Figure 2: Two-color BO-PES (x and y in 1000 a0)..

We consider dressing with s, p, and d Ryd-berg states using different photon polarizations.We find that each type can sustain bound levels,with linear polarization leading to larger bind-ing energies. We also extend the treatment topolyatomic systems. Fig. 2 shows the BO-PESfor a two-color dressing scheme, with one laserdressing with 30p3/2, and another with 35p3/2.The potential exhibits two minima at R ≈ 1400a.u. (θ = 0 and π), and another at R ≈ 2000a.u. (θ ≈ π/2). The 3D-plot depicts the wells inspace based on the azimuthal symmetry of the system. This configuration could sustain a tetramerstate, with one atom in the center, one in the torus, and one in each sphere.

[1] D. Jaksch, J.I. Cirac, P. Zoller, S.L. Rolston, R. Cote,, and M.D. Lukin, PRL 85, 2208 (2000).

[2] L. Santos, G.V. Shlyapnikov, P. Zoller, and M. Lewenstein, PRL 85, 1791 (2000).

[3] C.H. Greene, A.S. Dickinson, and H.R. Sadeghpour, PRL 85, 2458 (2000).

This abstract was submitted to PQE-2019, the 49th Winter Colloquium on the Physics of Quantum Electronics.Submitted by Robin Cote on Wed Dec 5 13:45:10 CST 2018.See the program for placement of this presentation.