Spiral spin textures of a bosonic Mott insulator with SU(3) spin-orbit coupling

Graß, Tobias; Chhajlany, Ravindra W.; Muschik, Christine A.; Lewenstein, Maciej

doi:10.1103/physrevb.90.195127

Cited by 18 publications

(20 citation statements)

References 66 publications

(98 reference statements)

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“…Our analysis is related also to spin chains with Dzyaloshinksii-Moriya interactions [57][58][59], possibly with long-range character [60]. It is also closely connected to studies of ladder systems incorporating the Hofstadter model [61][62][63][64], and to the Hofstadter model with longrange hopping [65].…”

Section: Discussionmentioning

confidence: 86%

Synthetic magnetic fluxes and topological order in one-dimensional spin systems

et al. 2015

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Engineering topological quantum order has become a major field of physics. Many advances have been made by synthesizing gauge fields in cold atomic systems. Here we carry over these developments to other platforms which are extremely well suited for quantum engineering, namely, trapped ions and nano-trapped atoms. Since these systems are typically one-dimensional, the action of artificial magnetic fields has so far received little attention. However, exploiting the long-range nature of interactions, loops with nonvanishing magnetic fluxes become possible even in one-dimensional settings. This gives rise to intriguing phenomena, such as fractal energy spectra, flat bands with localized edge states, and topological many-body states. We elaborate on a simple scheme for generating the required artificial fluxes by periodically driving an XY spin chain. Concrete estimates demonstrating the experimental feasibility for trapped ions and atoms in wave guides are given.

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Section: Discussionmentioning

confidence: 86%

Synthetic magnetic fluxes and topological order in one-dimensional spin systems

et al. 2015

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“…This is the case for TIs in two 34 and three 35 dimensions, for topological crystalline insulators 36 and higher-order TIs 37 . Another field of application are synthetic systems realizing spinorbit coupling for spins larger than 1/2, most notably SU(3) spin-orbit coupling 21,38,39 .…”

Section: Discussionmentioning

confidence: 99%

Computing observables without eigenstates: applications to Bloch Hamiltonians

Pozo,

de Juan

2020

Preprint

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Calculating the observables of a Hamiltonian requires taking matrix elements of operators in the eigenstate basis. Since eigenstates are only defined up to arbitrary phases that depend on Hamiltonian parameters, analytical expressions for observables are often difficult to simplify. In this work, we show how for small Hilbert space dimension N all observables can be expressed in terms of the Hamiltonian and its eigenvalues using the properties of the SU(N ) algebra, and we derive explicit expressions for N = 2, 3, 4. Then we present multiple applications specializing to the case of Bloch electrons in crystals, including the computation of Berry curvature, quantum metric and orbital moment, as well as a more complex observable in non-linear response, the linear photogalvanic effect (LPGE). As a physical example we consider multiband Hamiltonians with nodal degeneracies to show first how constraints between these observables are relaxed when going from two to three-band models, and second how quadratic dispersion can lead to constant LPGE at small frequencies.

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“…For N = 2, 3, this potential (accompanying the Dirichlet term) appears in a system of BECs with pseudospin-(N − 1)/2, or in a mixture of N species of bosons [122]. We expect that for all N > 1, the potential emerges from such a pseudospin system.…”

Section: Jhep11(2021)194mentioning

confidence: 98%

“…The most imminent and promising situation is where the model is modified to use a generalization of the Dzyaloshinskii-Moriya term, instead of the Skyrme term. Such a model is expected to be realizable in a mixture of N species of bosons with artificial gauge potentials [122].…”

Section: Jhep11(2021)194mentioning

confidence: 99%