Hyperfine structure in the microwave spectra of ultracold polar molecules

Hong, Ran; Aldegunde, J.; Hutson, Jeremy M.

doi:10.1088/1367-2630/12/4/043015

Cited by 20 publications

(29 citation statements)

References 39 publications

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“…The results obtained are given in Table I. 1 The 1 Values for 7 Li 133 Cs, KRb, and RbCs, obtained with similar methods, were presented previously [14,16]. The values in Table I differ slightly (by around 1% except for some values of eQq) calculations were performed at the equilibrium geometry for each molecule, R e = 2.88Å for LiNa [34], 3.32Å for LiK [35], 3.43Å for LiRb [36], 3.67Å for LiCs [37], 3.45Å for NaK [38], 3.64Å for NaRb [39], 3.85Å for NaCs [40], 4.07Å for KRb [41], 4.28Å for KCs [42], and 4.37Å for RbCs [43].…”

Section: Evaluation Of the Coupling Constantsmentioning

confidence: 54%

“…In the diatomic molecules, the two spins interact with one another and with the molecular rotation to form complex patterns of energy levels. These energy levels cross and avoided-cross as a function of magnetic and electric fields [14][15][16] and laser intensity [17]. Understanding the energy levels and their crossings is crucial in developing schemes to control ultracold molecules and transfer them between rotational and hyperfine states.…”

Section: Introductionmentioning

confidence: 99%

“…We have previously carried out calculations of the hyperfine coupling constants of KRb and RbCs [14] and LiCs [16], using density-functional theory (DFT). The purpose of the present paper is to extend these calculations to the full set of heteronuclear diatomic molecules formed from alkali-metal atoms.…”

Section: Introductionmentioning

confidence: 99%

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Hyperfine structure of alkali-metal diatomic molecules

Aldegunde

Hutson

2017

Phys. Rev. A

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We present calculations of the hyperfine coupling constants for all the heteronuclear alkali-metal diatomic molecules at the equilibrium geometry of the electronic ground state. These constants are important in developing methods to control ultracold polar molecules. The results are based on electronic structure calculations using density functional theory, and are in good agreement with experiment for the limited set of molecules for which experiments are so far available

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Section: Evaluation Of the Coupling Constantsmentioning

confidence: 54%

Section: Introductionmentioning

confidence: 99%

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Hyperfine structure of alkali-metal diatomic molecules

Aldegunde

Hutson

2017

Phys. Rev. A

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“…The hyperfine structure of rovibrational molecules can complicate the manipulation of molecules with microwave pulses because unwanted transitions can occur [52,53]. In the present model, the hyperfine structure was not taken into account.…”

Section: G Discussionmentioning

confidence: 99%

Toward scalable information processing with ultracold polar molecules in an electric field: A numerical investigation

et al. 2010

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We numerically investigate the possibilities of driving quantum algorithms with laser pulses in a register of ultracold NaCs polar molecules in a static electric field. We focus on the possibilities of performing scalable logical operations by considering circuits that involve intermolecular gates (implemented on adjacent interacting molecules) to enable the transfer of information from one molecule to another during conditional laser-driven population inversions. We study the implementation of an arithmetic operation (the addition of 0 or 1 on a binary digit and a carry in) which requires population inversions only and the Deutsch-Jozsa algorithm which requires a control of the phases. Under typical experimental conditions, our simulations show that high-fidelity logical operations involving several qubits can be performed in a time scale of a few hundreds of microseconds, opening promising perspectives for the manipulation of a large number of qubits in these systems.

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“…For sufficiently strong magnetic field, the nuclear Zeeman effect dominates over the hyperfine interaction such that M 1 and M 2 become good quantum numbers. For LiCs, this magnetic field is around 40 G [39]. Focusing on the lowest nuclear Zeeman levels (M i = I i ) in the N = 0 and 1 manifolds, the relevant internal states reduces to |N, M N = |0, 0 , |1, 0 , and |1, ±1 , which simplifies a rotating molecule to a four-level system.…”

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confidence: 99%

Spinor Bose-Einstein condensates of rotating polar molecules

Deng

2015

Phys. Rev. A

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We propose a scheme to realize a pseudospin-1/2 model of the 1 Σ(v = 0) bialkali polar molecules with the spin states corresponding to two sublevels of the first excited rotational level. We show that the effective dipole-dipole interaction between two spin-1/2 molecules couples the rotational and orbital angular momenta and is highly tunable via a microwave field. We also investigate the ground state properties of a spin-1/2 molecular condensate. A variety of nontrivial quantum phases, including the doubly-quantized vortex states, are discovered. Our scheme can also be used to create spin-1 model of polar molecules. Thus, we show that the ultracold gases of bialkali polar molecules provide a unique platform for studying the spinor condensates of rotating molecules. [11,12], cold controlled chemistry [13,14], and quantum simulation [15][16][17]. Particularly, from the condensed matter perspective, the large permanent electric dipole moment and the ability to control the hyperfine states within a single rovibrational level [18,19] make ultracold polar molecules an ideal platform for investigating strongly correlated many-body physics [20][21][22]. So far, the dipolar spin-exchange interactions [23] and the many-body dynamics [24] have been experimentally observed in lattice-confined ultracold KRb gases.For rotating molecules, the net dipole moment in the lab frame vanishes in the absence of a dc electric field. Hence, in most theoretical many-body studies, a strong dc electric field is assumed to align polar molecules. Consequently, the rotational degrees of freedom is frozen. Even though, there exist multicomponent models by utilizing different rotational states, the number of molecules in each rotational state is independently conserved by the interactions. On the contrary, the spin-exchange contact interaction in atomic spinor Bose-Einstein condensates (BECs) results in rich magnetic phenomena [25][26][27]. Of particular interest, the magnetic dipole-dipole interaction (DDI) gives rise to spontaneous spin textures in dipolar spinor BECs [28][29][30][31].In this Letter, we show that a bialkali polar molecule in the electronic and vibrational ground state can be modeled as a pseudospin-1/2 molecule with the spin states corresponding to two hyperfine sublevels of the first excited rotational level. Remarkably, the effective DDI between molecules contains a rotation-orbit coupling term that is capable of inducing spin mixing. Thus a BEC formed by these spin-1/2 molecules represents a spinor BEC, instead of a two-component one. We also study the ground state phases of the spin-1/2 molecular BEC and demonstrate that rotation-orbit-coupled DDI gives rise to the doubly quantized vortex phases. Although

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Hyperfine structure in the microwave spectra of ultracold polar molecules

Cited by 20 publications

References 39 publications

Hyperfine structure of alkali-metal diatomic molecules

Hyperfine structure of alkali-metal diatomic molecules

Toward scalable information processing with ultracold polar molecules in an electric field: A numerical investigation

Spinor Bose-Einstein condensates of rotating polar molecules

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