Coherent driving and freezing of bosonic matter wave in an optical Lieb lattice

Taie, Shintaro; Ozawa, Hideki; Ichinose, Takashi; Nishio, Takuei; Nakajima, Shuta; Takahashi, Yoshiro

doi:10.1126/sciadv.1500854

Cited by 316 publications

(286 citation statements)

References 41 publications

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“…Their vanishing group velocity and strong degeneracy can be directly observed via the existence of strongly localized yet propagation invariant (nondiffracting) wavepackets [51,52,56]. This nondiffracting behavior leads to a strong sensitivity to further perturbations such as disorder or interactions [45,47,73], analogous to slow light-enhanced nonlinear optical effects. Flat bands can also be generated by pairs of fermionic Dirac cones, where they appear as bands of surface states linking pairs of cones [17,21].…”

Section: Applicationsmentioning

confidence: 99%

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Conical intersections for light and matter waves

Leykam

Desyatnikov

2016

Advances in Physics: X

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We review the design, theory, and applications of two dimensional periodic lattices hosting conical intersections in their energy-momentum spectrum. The best known example is the Dirac cone, where propagation is governed by an effective Dirac equation, with electron spin replaced by a "fermionic" half-integer pseudospin. However, in many systems such as metamaterials, modal symmetries result in the formation of higher order conical intersections with integer or "bosonic" pseudospin. The ability to engineer lattices with these qualitatively different singular dispersion relations opens up many applications, including superior slab lasers, generation of orbital angular momentum, zeroindex metamaterials, and quantum simulation of exotic phases of relativistic matter.

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Section: Applicationsmentioning

confidence: 99%

“…In this case, the prototypical example for studying the properties of integer pseudospin intersections has been the square-like "Lieb lattice" shown in Fig. 1(c), originally proposed for cold atoms [43,[45][46][47] and recently realized as a photonic lattice [48][49][50][51][52].…”

Section: Designmentioning

confidence: 99%

Conical intersections for light and matter waves

Leykam

Desyatnikov

2016

Advances in Physics: X

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“…[28,32]. On the experimental side, a highly tunable Lieb lattice has been realized with ultracold gases [33]. Intriguingly, the CuO 2 planes responsible for the exotic properties of high-T c cuprate superconductors have the Lieb lattice structure.…”

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confidence: 99%

Geometric Origin of Superfluidity in the Lieb-Lattice Flat Band

et al. 2016

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The ground state and transport properties of the Lieb lattice flat band in the presence of an attractive Hubbard interaction are considered. It is shown that the superfluid weight can be large even for an isolated and strictly flat band. Moreover the superfluid weight is proportional to the interaction strength and to the quantum metric, a band structure quantity derived solely from the flat-band Bloch functions. These predictions are amenable to verification with ultracold gases and may explain the anomalous behaviour of the superfluid weight of high-Tc superconductors.

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“…Perturbations may hybridize CLSs with dispersive states through a spatially local resonant scenario [5], similar to Fano resonances [6]. The CLS existence has been experimentally probed in the same settings where FB lattices may be realized, as mentioned above: waveguiding arrays [7][8][9], exciton-polariton condensates [10], and atomic BECs [4]. The impact of various perturbations, such as disorder [5,11], correlated potentials [12,13], and external magnetic and electric fields [14], on FB lattices and the corresponding CLSs was studied too.…”

Section: Introductionmentioning

confidence: 99%

“…In particular, flatband (FB) lattices, existing due to specific local symmetries, provide the framework supporting completely dispersionless bands in the system's spectrum [1]. FB lattices have been realized in photonic waveguide arrays [2], exciton-polariton condensates [3], and atomic Bose-Einstein condensates (BECs) [4]. FB lattices are characterized by the existence of compact localized states (CLSs), which, being FB eigenstates, have nonzero amplitudes only on a finite number of sites [1].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear localized flat-band modes with spin-orbit coupling

et al. 2016

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We report the coexistence and properties of stable compact localized states (CLSs) and discrete solitons (DSs) for nonlinear spinor waves on a flatband network with spin-orbit coupling (SOC). The system can be implemented by means of a binary Bose-Einstein condensate loaded in the corresponding optical lattice. In the linear limit, the SOC opens a minigap between flat and dispersive bands in the system's bandgap structure, and preserves the existence of CLSs at the flatband frequency, simultaneously lowering their symmetry. Adding onsite cubic nonlinearity, the CLSs persist and remain available in an exact analytical form, with frequencies which are smoothly tuned into the minigap. Inside of the minigap, the CLS and DS families are stable in narrow areas adjacent to the FB. Deep inside the semi-infinite gap, both the CLSs and DSs are stable too.

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Coherent driving and freezing of bosonic matter wave in an optical Lieb lattice

Abstract: Matter-wave dynamics reveals a flat energy band engineered in a novel optical lattice.

Cited by 316 publications

References 41 publications

Conical intersections for light and matter waves

Conical intersections for light and matter waves

Geometric Origin of Superfluidity in the Lieb-Lattice Flat Band

Nonlinear localized flat-band modes with spin-orbit coupling

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