Bond order via light-induced synthetic many-body interactions of ultracold atoms in optical lattices

Caballero-Benítez, Santiago F.; Mekhov, Igor B.

doi:10.1088/1367-2630/18/11/113010

Cited by 23 publications

(49 citation statements)

References 110 publications

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“…In particular, the new staggered phases could be observed when dipolar gases are combined with synthetic techniques, e.g. lightmatter interactions [40][41][42][43][44][45], to induce competing longrange many-body interactions.…”

Section: Discussionmentioning

confidence: 99%

“…To gain better control over the longrange terms in an experimental scenario, a suitable combination of interaction processes would be required, i.e multiple attractive and repulsive long-range interactions or a large enough g such that offsite contact terms are possible [8,39]. Alternatively a setup exploiting lightmatter processes to induce synthetic interactions [40][41][42][43][44][45] could potentially be more efficient. However, in order to understand the effects of each process individually in this work, we will consider the parameters of Hamiltonian (8) to be independent variables.…”

Section: Bose-hubbard Modelmentioning

confidence: 99%

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Staggered ground states in an optical lattice

et al. 2019

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Non-standard Bose-Hubbard models can exhibit rich ground state phase diagrams, even when considering the one-dimensional limit. Using a self-consistent Gutzwiller diagonalisation approach, we study the mean-field ground state properties of a long-range interacting atomic gas in a onedimensional optical lattice. We first confirm that the inclusion of long-range two-body interactions to the standard Bose-Hubbard model introduces density wave and supersolid phases. However, the introduction of pair and density-dependent tunnelling can result in new phases with two-site periodic density, single-particle transport and two-body transport order parameters. These staggered phases are potentially a mean-field signature of the known novel twisted superfluids found via a DMRG approach [PRA 94, 011603(R) (2016)]. We also observe other unconventional phases, which are characterised by sign staggered order parameters between adjacent lattice sites.

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Section: Discussionmentioning

confidence: 99%

Section: Bose-hubbard Modelmentioning

confidence: 99%

Staggered ground states in an optical lattice

et al. 2019

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“…These phases spontaneously break the translational symmetry of a lattice and can destroy the previously present superfluid and Mott-insulating domains. Long-range interactions can be introduced by the use of dipolar atomic species [44][45][46][47], or can be induced by light-matter interactions [48][49][50][51][52].…”

Section: Introductionmentioning

confidence: 99%

Mean-field phases of an ultracold gas in a quasicrystalline potential

2019

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The recent experimental advancement to realise ultracold gases scattering off an eight-fold optical potential [Phys. Rev. Lett. 122, 110404 (2019)] heralds the beginning of a new technique to study the properties of quasicrystalline structures. Quasicrystals possess long-range order but are not periodic, and are still little studied in comparison to their periodic counterparts. Here, we consider an ultracold bosonic gas in an eight-fold symmetric lattice and assume a toy model where the atoms occupy the ground states of the local minima of the potential. The ground state phases of the system are studied, with particular interest in the local nature of the phases. The usual Mott-insulator, density wave, and supersolid phases of the standard and extended Bose-Hubbard model are observed. For non-zero long-range interactions, we find that density wave states can spontaneously break the eight-fold symmetry, and may even possess no rotational symmetry. We find the local variation in the number of nearest neighbours to play a vital role in the phase transitions, local structure, and global symmetries of the ground states. This variation in the number of nearest neighbours is not a unique property of the considered eight-fold lattice, and we expect our results to be generalisable to any quasicrystalline potential where there are only small position dependent variations in the site energy, tunnelling and interactions.

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“…Artificial magnetic fields can be induced to create distinct topological phases [27][28][29]. Most importantly, various types of cavity-mediated interactions could give rise to a plethora of many-body phases [30][31][32][33][34][35][36][37][38], including superfluid and charge density states, and even more exotic phases with no direct analog in condensed matter systems. All these developments render ultracold fermionic atoms natural candidates to explore exotic physics, such as topological phases [39][40][41], which would be more difficult to observe in condensed matter.…”

mentioning

confidence: 99%

“…As a consequence, the interaction can mediate pairing of both singlet and triplet pairs. Previous theoretical works describing cavity-mediated interactions of fermionic atoms had focused on one-dimensional lattices [33][34][35][36]. In [36], the spin states were energetically separated, such that the cavity coupling was shown to induce either singlet superfluidity or spin-density order.…”

mentioning

confidence: 99%

Cavity-Mediated Unconventional Pairing in Ultracold Fermionic Atoms

Schlawin

Jaksch

2019

Phys. Rev. Lett.

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We investigate long-range pairing interactions between ultracold fermionic atoms confined in an optical lattice which are mediated by the coupling to a cavity. In the absence of other perturbations, we find three degenerate pairing symmetries for a two-dimensional square lattice. By tuning a weak local atomic interaction via a Feshbach resonance or by tuning a weak magnetic field, the superfluid system can be driven from a topologically trivial s-wave to topologically ordered, chiral superfluids containing Majorana edge states. Our work points out a novel path towards the creation of exotic superfluid states by exploiting the competition between long-range and short-range interactions.Ultracold fermionic gases form an ideal platform for a new generation of quantum technologies [1,2], and for the quantum simulation of many-body phenomena [3,4] such as superfluidity [5,6]. Their key feature for these applications is that local (on-site) atomic interactions can be tuned very precisely using Feshbach resonances to explore, e.g, the crossover from BCS to BEC regimes [7], quantum simulation of the Fermi Hubbard model [8], and strongly correlated fermions in reduced dimensions [9][10][11][12]. Coupling ultracold atoms to optical cavities [13][14][15][16][17][18][19][20][21][22] promises to extend this control to longranged interactions.

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Bond order via light-induced synthetic many-body interactions of ultracold atoms in optical lattices

Cited by 23 publications

References 110 publications

Staggered ground states in an optical lattice

Staggered ground states in an optical lattice

Mean-field phases of an ultracold gas in a quasicrystalline potential

Cavity-Mediated Unconventional Pairing in Ultracold Fermionic Atoms

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