2018
DOI: 10.1103/physrevb.97.014309
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Ramp and periodic dynamics across non-Ising critical points

Abstract: We study ramp and periodic dynamics of ultracold bosons in an one-dimensional (1D) optical lattice which supports quantum critical points separating a uniform and a Z3 or Z4 symmetry broken density-wave ground state. Our protocol involves both linear and periodic drives which takes the system from the uniform state to the quantum critical point (for linear drive protocol) or to the ordered state and back (for periodic drive protocols) via controlled variation of a parameter of the system Hamiltonian. We provid… Show more

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Cited by 20 publications
(18 citation statements)
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“…with the constraint |r i r| ⊗ |r i+1 r| = 0. This model, which also appears in studies of ultracold atoms in tilted optical lattices [3], has been analyzed in the literature in the context of interacting bosons [7,29,30]. The mapping to bosons (with annihilation operators b i and number operators n i = b † i b i ) is apparent on identifying the state where the atom at site i is in the internal state |g with a vacuum state of a bosonic mode, and the state with the atom in |r with the presence of a boson.…”
Section: Rydberg Array and Constrained Hard-boson Modelmentioning
confidence: 99%
See 1 more Smart Citation
“…with the constraint |r i r| ⊗ |r i+1 r| = 0. This model, which also appears in studies of ultracold atoms in tilted optical lattices [3], has been analyzed in the literature in the context of interacting bosons [7,29,30]. The mapping to bosons (with annihilation operators b i and number operators n i = b † i b i ) is apparent on identifying the state where the atom at site i is in the internal state |g with a vacuum state of a bosonic mode, and the state with the atom in |r with the presence of a boson.…”
Section: Rydberg Array and Constrained Hard-boson Modelmentioning
confidence: 99%
“…II C. Numerical results then follow: for the CCM in Sec. II, and the Rydberg model (which can be mapped to a system of hard-core bosons [7,29,30]) in Sec. III.…”
Section: Introductionmentioning
confidence: 99%
“…In what follows, we will study the possibility of the existence of scars in the eigenstates of H F as a function of ω D and relate their influence on the dynamics of correlation functions. Our initial state will be an experimentally realized Z 2 sym-metry broken many-body state which has one Rydberg excitation in alternate lattice sites [4,[28][29][30].…”
mentioning
confidence: 99%
“…Model: The low-energy properties of an ultracold Rydberg atom chain can be described by an effective twostate Hamiltonian on each site given by [4,[28][29][30]]…”
mentioning
confidence: 99%
“…34,45 The chiral model with finite θ also shows a transition from a Z 3 symmetry broken phase to the paramagnetic phase at some f J. [46][47][48] Unlike the non-chiral case, the excited states in its broken symmetry phase have multiplets with a splitting that exponentially decays with system size. For weak transverse fields (2f < J √ 3 sin θ), this degeneracy can be attributed to a weak zero-mode parafermion localized at the edge in the Jordan Wigner transformed dual model.…”
Section: Modelmentioning
confidence: 99%