Tunable spin-orbit coupling for ultracold atoms in two-dimensional optical lattices

Grusdt, Fabian; Li, Tracy; Bloch, Immanuel; Demler, Eugene

doi:10.1103/physreva.95.063617

Cited by 37 publications

(33 citation statements)

References 50 publications

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“…The physical ori-gin of TR breaking depends on the particular realization of the system. In solid state realizations, it may correspond to a Zeeman field (due to external magnetic field or arising, e.g., from coupling to a ferromagnet), while in cold atomic realizations where TR symmetry is synthetic (e.g., is based on conditions on the optical coupling, 43,[46][47][48]51,59,60,63 ) it may arise from the appropriate detuning from the TR symmetric point. A simple example of TR symmetry breaking is that of an impurity that allows for the hybridization of Kramers pairs.…”

Section: Tr Breaking External Perturbationsmentioning

confidence: 99%

Fractional topological insulator precursors in spin-orbit fermion ladders

Santos¹,

Béri²

2019

Phys. Rev. B

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We study precursor states of fractional topological insulators (FTIs) in interacting fermionic ladders with spin-orbit coupling. Within a microscopically motivated bosonization approach, we investigate different competing phases depending on same-spin and interspin interactions at fractional effective filling ν = 1/3 per spin. In the spin-decoupled limit, we find that strong repulsive interactions of already moderate range may lead to a partially gapped state with two time-reversed copies of a quasi-one dimensional Laughlin phase. This FTI precursor competes with an interleg partially gapped phase displaying quasi long-range density wave order, however it may be stabilized if interactions have suitable anisotropy, or are sufficiently near SU(2) symmetry, in leg space. When the FTI phase is present, it is moderately robust to small interspin interactions; these introduce competing partially gapped phases of orbital antiferromagnetic and bond density wave character. Performing a strong coupling analysis of the FTI precursor regime, we find that the main effect of interspin interactions is to induce correlated quasiparticle backscattering between the precursor FTI edge modes. Although this process competes with the topological phase, we show, by considering an array of ladders, that its influence may disappear upon approaching the two dimensional case. Considering time-reversal symmetry breaking perturbations, we also describe a protocol that adiabatically pumps 1/6 charge per half-cycle, thus providing a quantized FTI signature arising already in the single ladder regime.

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Section: Tr Breaking External Perturbationsmentioning

confidence: 99%

Fractional topological insulator precursors in spin-orbit fermion ladders

Santos¹,

Béri²

2019

Phys. Rev. B

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“…Among the exciting possibilities is the bosonic fermionization [6] induced by artificial spin-orbit coupling [7]. Realization of interacting topological insulators with ultracold atoms also appears to be within the reach [8]. To a great extent these achievements have stimulated the development of strongly interacting photonics where the role of atoms is played by photons (see in [9]).…”

Section: Introductionmentioning

confidence: 99%

Cooperative phases and phase transitions of Bose condensed light in dye filled cavities

Fleurov

Kuklov

2019

New J. Phys.

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Recent realization of Bose-Einstein condensation of light in 2D provides a new platform for studying novel phases and phase transitions. The combination of low effective mass of the confined light and the presence of the dye molecules with randomly oriented directions of the dipolar transition engages a competition between disorder and the tendency to forming algebraic off-diagonal order. The phase diagram of possible phases is constructed at the mean field level. One of the phases is the condensate of photon pairs induced solely by the orientational disorder. Such a geometrical mechanism of pairing has no analogy in other systems.

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“…We emphasize that such a non-Abelian term is analogous to the one recently experimentally realized with 40 K gases in continuum space [64], and a recent proposal paves the way for its realization in optical lattices [65]. The gauge potential reads…”

Section: The Effect Of Flux Perturbationsmentioning

confidence: 99%

“…This fact has important consequences on the stability of the Weyl semimetal phase to non-Abelian gauge fluctuations, such as variations of q x,y in Eq. (65).…”

Section: Stability Of the Energy Spectrum Against Gauge Fluctuationsmentioning

confidence: 99%

Exact diagonalization of cubic lattice models in commensurate Abelian magnetic fluxes and translational invariant non-Abelian potentials

Burrello¹,

Fulga²,

Lepori³

et al. 2017

J. Phys. A: Math. Theor.

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Abstract. We present a general analytical formalism to determine the energy spectrum of a quantum particle in a cubic lattice subject to translationally invariant commensurate magnetic fluxes and in the presence of a general spaceindependent non-Abelian gauge potential. We first review and analyze the case of purely Abelian potentials, showing also that the so-called Hasegawa gauge yields a decomposition of the Hamiltonian into sub-matrices having minimal dimension. Explicit expressions for such matrices are derived, also for general anisotropic fluxes. Later on, we show that the introduction of a translational invariant nonAbelian coupling for multi-component spinors does not affect the dimension of the minimal Hamiltonian blocks, nor the dimension of the magnetic Brillouin zone. General formulas are presented for the U (2) case and explicit examples are investigated involving π and 2π/3 magnetic fluxes. Finally, we numerically study the effect of random flux perturbations.arXiv:1706.09745v2 [cond-mat.quant-gas]

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Tunable spin-orbit coupling for ultracold atoms in two-dimensional optical lattices

Cited by 37 publications

References 50 publications

Fractional topological insulator precursors in spin-orbit fermion ladders

Fractional topological insulator precursors in spin-orbit fermion ladders

Cooperative phases and phase transitions of Bose condensed light in dye filled cavities

Exact diagonalization of cubic lattice models in commensurate Abelian magnetic fluxes and translational invariant non-Abelian potentials

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