Quantum Magnetism with Ultracold Molecules

Malinovskaya, Svetlana; Novikova, Irina; Wall, Michael L.; Hazzard, Kaden R. A.; Rey, Ana María

doi:10.1142/9789814678704_0001

Cited by 32 publications

(46 citation statements)

References 126 publications

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“…At the interface between atomic, molecular, optical, and condensed-matter physics, systems of ultracold polar molecules [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] have caused a great deal of excitement and opened a path for the quantum simulation [21][22][23][24][25][26][27][28][29] of quantum magnetism [30][31][32][33][34][35][36][37][38] and superconductivity [39,40] on optical lattices [41,42]. Intrinsic to these systems are the long-range dipolar-type interactions, which, in contrast to the long-range Coulomb interaction in condensed-matter systems, are not affected by screening.…”

Section: Introductionmentioning

confidence: 99%

Correlations and enlarged superconducting phase of t−J⊥ chains of ultracold molecules on optical lattices

Manmana¹,

Möller²,

Gezzi³

et al. 2017

Phys. Rev. A

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We compute physical properties across the phase diagram of the t-J ⊥ chain with long-range dipolar interactions, which describe ultracold polar molecules on optical lattices. Our results obtained by the density-matrix renormalization group indicate that superconductivity is enhanced when the Ising component J z of the spin-spin interaction and the charge component V are tuned to zero and even further by the long-range dipolar interactions. At low densities, a substantially larger spin gap is obtained. We provide evidence that long-range interactions lead to algebraically decaying correlation functions despite the presence of a gap. Although this has recently been observed in other long-range interacting spin and fermion models, the correlations in our case have the peculiar property of having a small and continuously varying exponent. We construct simple analytic models and arguments to understand the most salient features.

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Section: Introductionmentioning

confidence: 99%

Correlations and enlarged superconducting phase of t−J⊥ chains of ultracold molecules on optical lattices

Manmana¹,

Möller²,

Gezzi³

et al. 2017

Phys. Rev. A

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“…Typically, the samples need to have temperatures on the order of 1 to 100 milliKelvin to be confined by laboratory magnetic or electric fields, and ultralow An ultimate goal in molecular collisions would be to extract the scattering from each partial wave -a discrete quantity -rather than having to settle for observables averaged over a continuum of impact parameters. This goal was realized in ultracold KRb molecules produced in the Jin /Ye groups (3,(38)(39)(40). In this case molecules were welded together optically from ultracold K and Rb atoms, ensuring a translational temperature of the molecules of ~100 nanoKelvin, with the molecules in a single internal quantum state, including the absolute lowest energy state accounting for nuclear spins.…”

Section: Reactantsmentioning

confidence: 99%

“…Polar molecules, on the other hand, possess strong and long-range interactions with an enlarged set of internal states that are available to offer a more versatile platform for building synthetic quantum matter (9,10,(38)(39)(40)(67)(68)(69)(70). The basic question then is whether one can develop a quantum system of molecules that features precise quantum control at the same level as that demonstrated in atomic quantum gas experiments.…”

Section: Quantum Materialsmentioning

confidence: 99%

“…In this approach, ultracold polar molecules were coherently assembled from two atomic species that had themselves been brought to quantum degeneracy. Specifically, the Jin/Ye groups employed a Fano-Feshbach resonance (48) for magneto-association of pairs of fermionic 40 K and bosonic 87 Rb atoms (3). These weakly bound (highly vibrationally excited) Feshbach molecules were then coherently transferred to the absolute rovibrational ground state in the ground electronic potential using a pair of phase-coherent lasers coupled to a common intermediate electronic excited state.…”

Section: Quantum Degeneracy Of a Molecular Gasmentioning

confidence: 99%

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Cold molecules: Progress in quantum engineering of chemistry and quantum matter

Bohn

Rey

2017

Science

445

403

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Cooling atoms to ultralow temperatures have produced a wealth of opportunities in fundamental physics, precision metrology, and quantum science. The more recent application of sophisticated cooling techniques to molecules, which have been more challenging to develop due to complex molecular structures, has now opened door to the longstanding goal of precisely controlling molecular internal and external degrees of freedom and the resulting interaction processes. This line of research can leverage fundamental insights into how molecules interact and evolve to enable the control of reaction chemistry and the design and realization of a range of advanced quantum materials. 2 Molecules hold a central place in the physical sciences. On the one hand, molecules consisting of a small number of atoms represent the upper limit of complexity we can at present hope to understand in complete detail, starting from quantum mechanics. On the other hand, molecules are the building blocks from which more complex phenomena emerge, including chemistry, condensed matter, and indeed life itself. These molecules then represent a kind of intellectual fulcrum around which we can leverage our complete understanding of small systems to probe and manipulate increasingly complex ones.Precisely controlled studies of molecules started decades ago, with the invention of supersonic molecular beams for cooling (1) and coherent control for manipulation of internal states (2). However, bringing the temperature of molecular gases to the quantum regime is a relatively recent endeavor (3). When molecules move extremely slowly in the laboratory frame, and control of their internal degrees of freedom is achieved at the individual quantum state level, then each step of a complex chemical reaction can in principle be monitored and measured. The energy resolution underpinning such a process would be limited only by fundamental quantum rules that govern the molecular interaction from start to finish. The capability to track in full detail how multiple molecular species approach each other, interact via their evolving potential energy landscape, form intermediates, and re-emerge as final products, all while monitoring the internal and external energy level distributions, may have seemed out of reach only a few years ago.However, thanks to the recent progress in the field of cold molecules, we could soon be able to do precisely that. First-principle understanding of the most fundamental molecular reaction processes will furthermore enable the design and control of complex molecular transformations and materials with powerful functionality. 3Molecules have rich energy level structures, owing to the vibrational and rotational degrees of freedom, compared to atoms. This presents a challenge for cooling technology. However, once we gain control over these molecular degrees of freedom, we create opportunities to take advantage of their unique properties, such as precise manipulation of long-range interactions mediated by molecular electric dipole moments. ...

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“…On the other hand, molecular rotation is known to be altered by the presence of a quantum solvent, such as superfluid 4 He [38]. Furthermore, recent breakthroughs in the manipulation of ultracold quantum gases opened up the possibility to prepare ultracold diatomic molecules in selected quantum rotational states and fine-tune the longrange interactions between them [39][40][41][42][43][44][45][46][47][48][49][50][51]. This paves the way to study interactions between molecular impurities and the surrounding Bose or Fermi gas.…”

Section: Introductionmentioning

confidence: 99%

Diagrammatic approach to orbital quantum impurities interacting with a many-particle environment

Bighin

Lemeshko

2017

Phys. Rev. B

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Recently it was shown that an impurity exchanging orbital angular momentum with a surrounding bath can be described in terms of the angulon quasiparticle [Phys. Rev. Lett. 118, 095301 (2017)]. The angulon consists of a quantum rotor dressed by a many-particle field of boson excitations, and can be formed out of, for example, a molecule or a nonspherical atom in superfluid helium, or out of an electron coupled to lattice phonons or a Bose condensate. Here we develop an approach to the angulon based on the path-integral formalism, which sets the ground for a systematic, perturbative treatment of the angulon problem. The resulting perturbation series can be interpreted in terms of Feynman diagrams, from which, in turn, one can derive a set of diagrammatic rules. These rules extend the machinery of the graphical theory of angular momentum -well known from theoretical atomic spectroscopy -to the case where an environment with an infinite number of degrees of freedom is present. In particular, we show that each diagram can be interpreted as a 'skeleton,' which enforces angular momentum conservation, dressed by an additional many-body contribution. This connection between the angulon theory and the graphical theory of angular momentum is particularly important as it allows to systematically and substantially simplify the analytical representation of each diagram. In order to exemplify the technique, we calculate the 1− and 2−loop contributions to the angulon self-energy, the spectral function, and the quasiparticle weight. The diagrammatic theory we develop paves the way to investigate next-to-leading order quantities in a more compact way compared to the variational approaches.

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Quantum Magnetism with Ultracold Molecules

Cited by 32 publications

References 126 publications

Correlations and enlarged superconducting phase of t−J⊥ chains of ultracold molecules on optical lattices

Correlations and enlarged superconducting phase of t−J⊥ chains of ultracold molecules on optical lattices

Cold molecules: Progress in quantum engineering of chemistry and quantum matter

Diagrammatic approach to orbital quantum impurities interacting with a many-particle environment

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