Density-induced geometric frustration of ultra-cold bosons in optical lattices

Mishra, Tapan; Greschner, Sebastian; Santos, Luís

doi:10.1088/1367-2630/18/4/045016

Cited by 13 publications

(9 citation statements)

References 37 publications

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“…[19] and studied extensively using DMRG simulations. It may be extended to quasi-1D ladder models [47] and also a variant of the hardcore two-component AHM may exhibit a similar multicomponent PP phase [21]. Here we present detailed numerical evidence for the emergence of this phase for the unconstrained model (1) in the limit θ → π.…”

Section: The Pp Phase For Pseudo-fermionsmentioning

confidence: 79%

Ground-state properties of the one-dimensional unconstrained pseudo-anyon Hubbard model

Zhang¹,

Greschner²,

Fan³

et al. 2017

Phys. Rev. A

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We study the (pseudo-) anyon Hubbard model on a one-dimensional lattice without the presence of a three-body hardcore constraint. In particular, for the pseudo-fermion limit of a large statistical angle θ ≈ π , we observe a wealth of exotic properties, including a first-order transition between different superfluid phases and a twocomponent partially paired phase for large fillings without need of an additional three-body hardcore constraint.In this limit, we analyze the effect of an induced hardcore constraint, which leads to the stabilization of superfluid ground states for vanishing or even small attractive onsite interactions. For finite statistical angles, we study the unconventional broken-symmetry superfluid peaked at a finite momentum, resulting in an interesting beat phenomenon of single-particle correlation functions. We show how some features of various ground-state phases, including an analog of the partially paired phase in the pseudo-fermion limit, may be reproduced in a naive mean field frame.

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Section: The Pp Phase For Pseudo-fermionsmentioning

confidence: 79%

Ground-state properties of the one-dimensional unconstrained pseudo-anyon Hubbard model

Zhang¹,

Greschner²,

Fan³

et al. 2017

Phys. Rev. A

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“…More importantly, what are they useful for, and are there any physical systems where these are present? So far, density-dependent gauge fields have been used in the context of pseudolinear "anyons" [48,56,57], as a mechanism to induce frustration on a lattice [58], and in condensates with exotic phenomenology [59][60][61][62][63][64][65][66].…”

Section: Introductionmentioning

confidence: 99%

Synthetic flux attachment

Valentí-Rojas

Westerberg

Öhberg

2020

Phys. Rev. Research

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Topological field theories emerge at low energy in strongly correlated condensed matter systems and appear in the context of planar gravity. In particular, the study of Chern-Simons terms gives rise to the concept of flux attachment when the gauge field is coupled to matter, yielding flux-charge composites. We investigate the generation of flux attachment in a Bose-Einstein condensate in the presence of nonlinear synthetic gauge potentials. In doing so, we identify the U (1) Chern-Simons gauge field as a singular density-dependent gauge potential, which in turn can be expressed as a Berry connection. We envisage a proof-of-concept scheme where the artificial gauge field is perturbatively induced by an effective light-matter detuning created by interparticle interactions. At a mean field level, we recover the action of a "charged" superfluid minimally coupled to both a background and a Chern-Simons gauge field. Remarkably, a localized density perturbation in combination with a nonlinear gauge potential gives rise to an effective composite boson model of fractional quantum Hall effect, displaying anyonic vortices.

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“…By working at flux φ = π, the first order nearest neighbour tunnelling term is eliminated, and we obtain a novel model with dominant second-order terms. This is a natural route to a large density-dependent tunnelling term, so the proposed scheme is directly relevant to the realisation and study of models with interaction-assisted hopping and kinetic frustration [62][63][64][65][66][67][68].…”

Section: Discussionmentioning

confidence: 99%

Synthetic dimensions in the strong-coupling limit: Supersolids and pair superfluids

Bilitewski¹,

Cooper²

2016

Phys. Rev. A

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We study the many-body phases of bosonic atoms with N internal states confined to a 1D optical lattice under the influence of a synthetic magnetic field and strong repulsive interactions. The N internal states of the atoms are coupled via Raman transitions creating the synthetic magnetic field in the space of internal spin states corresponding to recent experimental realisations. We focus on the case of strong SU(N ) invariant local density-density interactions in which each site of the 1D lattice is at most singly occupied, and strong Raman coupling, in distinction to previous work which has focused on the weak Raman coupling case. This allows us to keep only a single state per site and derive a low energy effective spin 1/2 model. The effective model contains first-order nearest neighbour tunnelling terms, and second-order nearest neighbour interactions and correlated nextnearest neighbour tunnelling terms. By adjusting the flux φ one can tune the relative importance of first-order and second-order terms in the effective Hamiltonian. In particular, first-order terms can be set to zero, realising a novel model with dominant second-order terms. We show that the resulting competition between density-dependent tunnelling and repulsive density-density interaction leads to an interesting phase diagram including a phase with long-ranged pair-superfluid correlations. The method can be straightforwardly extended to higher dimensions and lattices of arbitrary geometry including geometrically frustrated lattices where the interplay of frustration, interactions and kinetic terms is expected to lead to even richer physics.

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Density-induced geometric frustration of ultra-cold bosons in optical lattices

Cited by 13 publications

References 37 publications

Ground-state properties of the one-dimensional unconstrained pseudo-anyon Hubbard model

Ground-state properties of the one-dimensional unconstrained pseudo-anyon Hubbard model

Synthetic flux attachment

Synthetic dimensions in the strong-coupling limit: Supersolids and pair superfluids

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