Bilayer fractional quantum Hall states with dipoles

Yao, Norman Y.; Bennett, Steven; Laumann, Chris R.; Lev, Benjamin; Gorshkov, Alexey V.

doi:10.1103/physreva.92.033609

Cited by 13 publications

(17 citation statements)

References 94 publications

(120 reference statements)

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“…In addition, the remaining static dipolar interactions are a tunable knob to control the interaction strength. The most promising candidate for a hard-core bosonic fractional Chern insulator in a band with C = 2 appears for a filling of ν = 2/3, as suggested by numerical calculations [8,10,41], in agreement with the general classification scheme for interacting bosonic topological phases [60,61].…”

Section: Detection and Outlooksupporting

confidence: 50%

“…The main advantages of our realization, using the spin-orbit coupling present in dipolar interactions, are its robustness and the low experimental requirements, while many alternative theoretical proposals with cold gases require strong spatially inhomogeneous laser fields with variations on the scale of one lattice constant [16,[42][43][44][45][46][47]; by using such ideas in combination with dipolar exchange interactions, it is also possible to engineer flat C = 2 bands [41]. We point out that our proposal can also be applied to Rydberg atoms in similar setups [48][49][50].…”

Section: Introductionmentioning

confidence: 99%

“…However, the bosonic excitations in our system are subject to a hard-core constraint. Such a setup in combination with flat bands is then expected to give rise to a fractional Chern insulator at 2/3 filling in C = 2 topological bands [8,10,40,41].…”

Section: Introductionmentioning

confidence: 99%

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Topological bands with a Chern numberC=2by dipolar exchange interactions

et al. 2015

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We demonstrate the realization of topological band structures by exploiting the intrinsic spin-orbit coupling of dipolar interactions in combination with broken time-reversal symmetry. The system is based on polar molecules trapped in a deep optical lattice, where the dynamics of rotational excitations follows a hopping Hamiltonian which is determined by the dipolar exchange interactions. We find topological bands with Chern number C = 2 on the square lattice, while a very rich structure of different topological bands appears on the honeycomb lattice. We show that the system is robust against missing molecules. For certain parameters we obtain flat bands, providing a promising candidate for the realization of hard-core bosonic fractional Chern insulators.

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Section: Detection and Outlooksupporting

confidence: 50%

Section: Introductionmentioning

confidence: 99%

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Topological bands with a Chern numberC=2by dipolar exchange interactions

et al. 2015

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“…In particular, many-body systems that display long-range interactions [26][27][28][29][30][31]-such as polar molecules [32][33][34][35][36], atoms with large magnetic dipoles [37], and Rydberg atoms [38]-have been shown to feature topologically nontrivial flat bands and fractional quantum Hall states.…”

mentioning

confidence: 99%

“…1(a)]. This level structure is naturally available in a variety of systems such as alkaline-earth-metal atoms [49][50][51], dysprosium atoms [37], polar molecules [36,52,53], or Rydberg systems [38].…”

mentioning

confidence: 99%

Topological properties of a dense atomic lattice gas

et al. 2017

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Citation for published item:fettlesD oert tF nd win¡ § rD ti § r¡ % nd edmsD ghrles F nd vesnovskyD sgor nd ylmosD fetriz @PHIUA 9opologil properties of dense tomi lttie gsF9D hysil review eFD WT @RAF HRITHQ@AF Further information on publisher's website: eprinted with permission from the emerin hysil oietyX fettlesD oert tFD win¡ § rD ti § r¡ %D edmsD ghrles FD vesnovskyD sgor ylmosD fetriz @PHIUAF opologil properties of dense tomi lttie gsF hysil eview e WT@RAX HRITHQ@A PHIU y the emerin hysil oietyF eders my viewD rowseD ndGor downlod mteril for temporry opying purposes onlyD provided these uses re for nonommeril personl purposesF ixept s provided y lwD this mteril my not e further reproduedD distriutedD trnsmittedD modi(edD dptedD performedD displyedD pulishedD or sold in whole or prtD without prior written permission from the emerin hysil oietyF Additional information: Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. We investigate the existence of topological phases in a dense two-dimensional atomic lattice gas. The coupling of the atoms to the radiation field gives rise to dissipation and a nontrivial coherent long-range exchange interaction whose form goes beyond a simple power law. The far-field terms of the potential-which are particularly relevant for atomic separations comparable to the atomic transition wavelength-can give rise to energy spectra with one-sided divergences in the Brillouin zone. The long-ranged character of the interactions has another important consequence: it can break the standard bulk-boundary relation in topological insulators. We show that topological properties such as the transport of an excitation along the edge of the lattice are robust with respect to the presence of lattice defects and dissipation. The latter is of particular relevance as dissipation and coherent interactions are inevitably connected in our setting. DOI: 10.1103/PhysRevA.96.041603 Introduction. Recently, the pursuit of topological phases in quantum many-body systems has been the focus of intense research. The potential application of these topological states for robust quantum computation [1,2] is one of the driving forces for this increased interest. So-called topological insulators are usually characterized by bulk bands separated by a gap and the presence of gapless edge states whose properties are topologically protected against local perturbations such as external disorder or noise [3,4]. Paradigmatic examples of these include the integer and fractional quantum Hall effects, which were initially realized on two...

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Protocol designs for NOON states

Grün

Ymai

et al. 2022

Commun Phys

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The ability to reliably prepare non-classical states will play a major role in the realization of quantum technology. NOON states, belonging to the class of Schrödinger cat states, have emerged as a leading candidate for several applications. Here we show how to generate NOON states in a model of dipolar bosons confined to a closed circuit of four sites. This is achieved by designing protocols to transform initial Fock states to NOON states through use of time evolution, application of an external field, and local projective measurements. The evolution time is independent of total particle number, offering an encouraging prospect for scalability. By variation of the external field strength, we demonstrate how the system can be controlled to encode a phase into a NOON state. We also discuss the physical feasibility, via ultracold dipolar atoms in an optical superlattice setup. Our proposal showcases the benefits of quantum integrable systems in the design of protocols.

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Bilayer fractional quantum Hall states with dipoles

Cited by 13 publications

References 94 publications

Topological bands with a Chern numberC=2by dipolar exchange interactions

Topological bands with a Chern numberC=2by dipolar exchange interactions

Topological properties of a dense atomic lattice gas

Protocol designs for NOON states

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