Erratum: Quantum Phases of Quadrupolar Fermi Gases in Optical Lattices [Phys. Rev. Lett.<b>110</b>, 155301 (2013)]

Bhongale, S. G.; Mathey, Ludwig; Zhao, Erhai; Yelin, Susanne F.; Lemeshko, Mikhail

doi:10.1103/physrevlett.111.239901

Cited by 18 publications

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“…Our Floquet approach can be applied to all the quantum simulators with long-range interactions: trapped ions (α = 0-3) [4], polar molecules (α = 3,5) [5,6], Rydberg atoms (α = 3,6) [7], NV centers (α = 3) [8], and cavity QED (α = 0) [9]. The gradients can be generated using magnetic fields [22,23] or ac Stark shifts [24,25].…”

Section: -4 Rapid Communicationsmentioning

confidence: 99%

“…If g 0 is odd, then the interaction would be anisotropic: β r,s = −β s,r . Anisotropic interactions are known to give rise to exotic physics [6].…”

Section: -4 Rapid Communicationsmentioning

confidence: 99%

“…The advantage of our approach is that it does not require individual addressing, since the magnetic-field gradient acts on all spins at the same time. Also, our approach is universal and can be applied to all experimental systems with long-range interactions: trapped ions [4], polar molecules [5,6], Rydberg atoms [7], nitrogen-vacancy (NV) centers [8], and cavity QED [9].…”

Section: Introductionmentioning

confidence: 99%

“…However, the nearest-neighbor interaction is small, and it is hard to cool the atoms to sufficiently low temperatures. This has motivated many experimental groups to create quantum simulators based on dipolar or Coulomb interactions [4][5][6][7][8][9]. The advantages of these setups are that the interaction strength is large and that the atoms do not have to be very cold.…”

mentioning

confidence: 99%

“…A common feature of such systems is the presence of long-range interactions that decay with a power law in distance due to dipolar or Coulomb interactions [4][5][6][7][8][9]. On the one hand, long-range interactions can lead to qualitatively new physics [10].…”

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Floquet engineering from long-range to short-range interactions

Lee

2016

Phys. Rev. A

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Quantum simulators based on atoms or molecules often have long-range interactions due to dipolar or Coulomb interactions. We present a method based on Floquet engineering to turn a long-range interaction into a short-range one. By modulating a magnetic-field gradient with one or a few frequencies, one reshapes the interaction profile, such that the system behaves as if it only had nearest-neighbor interactions. Our approach works in both one and two dimensions and for both spin-1/2 and spin-1 systems. It does not require individual addressing, and it is applicable to all experimental systems with long-range interactions: trapped ions, polar molecules, Rydberg atoms, nitrogen-vacancy centers, and cavity QED. Our approach allows one achieve a short-range interaction without relying on Hubbard superexchange. DOI: 10.1103/PhysRevA.94.040701Introduction. A quantum simulator is a quantum system that is engineered to implement a particular quantum model [1,2]. A quantum simulator with a large number of particles would be able to simulate quantum many-body systems beyond what a classical computer could handle [3]. One goal of quantum simulation is to implement models that describe solid-state systems and thereby gain direct insight into phenomena like high-T c superconductivity.There has been a lot of progress on quantum simulation using cold atoms [1,2]. A common feature of such systems is the presence of long-range interactions that decay with a power law in distance due to dipolar or Coulomb interactions [4][5][6][7][8][9]. On the one hand, long-range interactions can lead to qualitatively new physics [10]. On the other hand, solid-state systems usually have short-range interactions because Wannier functions are exponentially localized [11][12][13]. Thus, for the sake of directly simulating solid-state models, it can be preferable for quantum simulators to have short-range interactions.For ultracold atoms in an optical lattice, the on-site interaction arising from s-wave scattering allows one, in principle, to achieve a nearest-neighbor spin model via superexchange [14,15]. However, the nearest-neighbor interaction is small, and it is hard to cool the atoms to sufficiently low temperatures. This has motivated many experimental groups to create quantum simulators based on dipolar or Coulomb interactions [4][5][6][7][8][9]. The advantages of these setups are that the interaction strength is large and that the atoms do not have to be very cold. However, these setups have long-range interactions, so it would be beneficial to somehow remove the longrange tail while otherwise preserving the magnitude of the interactions.In this Rapid Communication, we show how to use Floquet engineering [16,17] to reshape a long-range interaction into a short-range one. Although we focus on making the interaction as short range as possible, our approach can be used to engineer other interaction profiles. Starting from a spin model with long-range XX interactions, we modulate a magnetic-field gradient periodically in time, so that in a rota...

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Section: -4 Rapid Communicationsmentioning

confidence: 99%

“…If g 0 is odd, then the interaction would be anisotropic: β r,s = −β s,r . Anisotropic interactions are known to give rise to exotic physics [6].…”

Section: -4 Rapid Communicationsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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confidence: 99%

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Floquet engineering from long-range to short-range interactions

Lee

2016

Phys. Rev. A

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Manipulation of molecules with electromagnetic fields

et al. 2013

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I. INTRODUCTIONThe past few decades have witnessed remarkable developments of laser techniques setting the stage for new areas of research in molecular physics. It is now possible to interrogate molecules in the ultrafast and ultracold regimes of molecular dynamics and the measurements of molecular structure and dynamics can be made with unprecedented precision. Molecules are inherently complex quantum-mechanical systems. The complexity of molecular structure, if harnessed, can be exploited for yet another step forward in science, potentially leading to technology for quantum computing, quantum simulation, precise field sensors, and new lasers.The goal of the present article is to review the major developments that have led to the current understanding of molecule -field interactions and experimental methods for manipulating molecules with electromagnetic fields. Molecule -field interactions are at the core of several, seemingly distinct, areas of molecular physics. This is reflected in the organization of this article, which includes sections on Field control of molecular beams, External field traps for cold molecules, Control of molecular orientation and molecular alignment, Manipulation of molecules by nonconservative forces, Ultracold molecules and ultracold chemistry, Controlled many-body phenomena, Entanglement of molecules and dipole arrays, and Stability of molecular systems in high-frequency super-intense laser fields. By combining these topics in the same review, we would like to emphasize that all this work is based on the same basic Hamiltonian.This review is also intended to serve as an introduction to the excellent collection of articles appearing in this same-titled volume of Molecular Physics [1-27]. These original contributions demonstrate the latest developments exploiting control of molecules with electromagnetic fields. The reader will be treated to a colourful selection of articles on topics as diverse as Chemistry in laser fields, Quantum dynamics in helium droplets, Effects of microwave and laser fields on molecular motion, Rydberg molecules, Molecular structure in external fields, Quantum simulation with ultracold molecules, and Controlled molecular interactions, written by many of the leading protagonists of these fields.This article is concerned chiefly with the effects of electromagnetic fields on low-energy rotational, fine-structure and translational degrees of freedom. There are several important research areas that are left outside the scope of this paper, most notably the large body of work on the interaction of molecules with attosecond laser pulses and high harmonic generation [28], coherent control of molecular dynamics [29] and optimal control of molecular processes [30]. We limit the discussion of resonant interaction of light with molecules to laser cooling strategies. We do not survey spectroscopy or transfer of population between molecular states. Even with these restrictions, this is a vast area to review, as is apparent from the number of references. We did our best to in...

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Exotic roton excitations in quadrupolar Bose–Einstein condensates

2015

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We investigate the occurrence of rotons in a quadrupolar Bose-Einstein condensate confined to two dimensions. Depending on the particle density, the ratio of the contact and quadrupole-quadrupole interactions, and the alignment of the quadrupole moments with respect to the confinement plane, the dispersion relation features two or four point-like roton minima or one ring-shaped minimum. We map out the entire parameter space of the roton behavior and identify the instability regions. We propose to observe the exotic rotons by monitoring the characteristic density wave dynamics resulting from a short local perturbation, and discuss the possibilities to detect the predicted effects in state-ofthe-art experiments with ultracold homonuclear molecules.

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Erratum: Quantum Phases of Quadrupolar Fermi Gases in Optical Lattices [Phys. Rev. Lett.110, 155301 (2013)]

Cited by 18 publications

References 0 publications

Floquet engineering from long-range to short-range interactions

Floquet engineering from long-range to short-range interactions

Manipulation of molecules with electromagnetic fields

Exotic roton excitations in quadrupolar Bose–Einstein condensates

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