Floquet Bound States in a Driven Two-Particle Bose–Hubbard Model with an Impurity

Zhong, Honghua; Zhou, Zheng; Zhu, Bo; Ke, Yongguan; Lee, Chaohong

doi:10.1088/0256-307x/34/7/070304

Cited by 9 publications

(6 citation statements)

References 40 publications

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“…When we consider the right boundary of the lattice, we can also obtain the quasienergy of the Floquet-surface state at the right edge, E s 2 = −E s 1 . These quasienergies obtained by asymptotic analysis agree well with those obtained by diagonalizing the Floquet Hamiltonian H f and effective model (15); see Appendix B for more details. Alternately, we can obtain the cutoff value as an approximation of C 1 ,…”

Section: B Asymptotic Phase Boundary and Phase Diagramsupporting

confidence: 78%

“…By tailing inhomogeneous hopping rates and applying external sinusoidal driving, Floquet BICs appear as a result of selective destruction of tunneling [13]. As happened in other contexts, moving to the many-particle framework, two-particle Floquet BICs have been predicted to exist in defect-free Hubbard lattices, either in the bulk [15] or at the surface [16]. It has been shown that in the highfrequency limit, the external periodic driving can induce a virtual surface defect in the defect-free semilattice, and thus results in two-particle Floquet-surface BICs [16].…”

Section: Introductionmentioning

confidence: 96%

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Floquet-surface bound states in the continuum in a resonantly driven one-dimensional tilted defect-free lattice

Zhu

Liu

et al. 2020

Phys. Rev. A

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We study the Floquet-surface bound states embedded in the continuum (BICs) and bound states out the continuum in a resonantly driven one-dimensional tilted defect-free lattice. In contrast to fragile single-particle BICs assisted by specially tailored potentials, we find that Floquet-surface BICs, stable against structural perturbations, can exist in a wide range of parameter space. By using a multiple-time-scale asymptotic analysis in the high-frequency limit, the appearance of Floquet-surface bound states can be analytically explained by effective Tamm-type defects at boundaries induced by the resonance between the periodic driving and tilt. The phase boundary of existing Floquet-surface states is also analytically given. Based on the repulsion effect of surface states, we propose to detect transition points and measure the number of Floquet-surface bound states by quantum walk. Our work opens a door to experimental realization of BICs in a quantum system.

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Section: B Asymptotic Phase Boundary and Phase Diagramsupporting

confidence: 78%

Section: Introductionmentioning

confidence: 96%

Floquet-surface bound states in the continuum in a resonantly driven one-dimensional tilted defect-free lattice

Zhu

Liu

et al. 2020

Phys. Rev. A

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“…momentum [7,8]. Recently, topological bound states have been found in various systems, such as, Su-Schrieffer-Heeger (SSH) model [9][10][11][12], XXZ chain [13], Haldane model [14], Hofstadter superlattice model [8], Rice-Mele model [7], and Floquet system [15]. Among these models, we note that they may support topological states even in the absence of interaction.…”

Section: Introductionmentioning

confidence: 84%

Interaction-induced topological bound states and Thouless pumping in a one-dimensional optical lattice

Lin

Lee

2020

Phys. Rev. A

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We study topological features of interacting spin-1 2 particles in one-dimensional state-dependent optical lattices. Due to the co-translational symmetry, we introduce the center-of-mass Zak phase with the help of center-of-mass momentum. There appear topological bound states composed by two particles in different spin states via tuning hopping and interaction strengths. Under symmetric open boundary conditions, topological edge bound-states appear as a result of the non-trivial center-ofmass Zak phase of bound-state band, which is protected by the center-of-mass inversion symmetry. The interaction plays a crucial role in the appearance of topological bound states and the system becomes completely trivial if the interaction is switched off. By periodically modulating the hopping and interaction strengths, we show how to implement topological Thouless pumping of bound states, in which the quantized shift of center-of-mass can be described by a non-trivial center-of-mass Chern number.arXiv:1910.09948v1 [cond-mat.mes-hall] 22 Oct 2019

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“…This mechanism is known as Friedrich-Wintgen scenario [14]. There are more specific examples of BIC arising, for example, in anisotropic [28], Floquet [29] or PT-symmetric systems [30,31]. Today the structures with optical BICs are successfully used for filtering, las-ing, sensing and Raman spectroscopy [32][33][34][35][36][37][38].…”

Section: Introductionmentioning

confidence: 99%

Meta-optics and bound states in the continuum

2019

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We discuss the recent advances in meta-optics and nanophotonics associated with the physics of bound states in the continuum (BICs). Such resonant states appear due to a strong coupling between leaky modes in optical guiding structures being supported by subwavelength high-index dielectric Mie-resonant nanoantennas or alldielectric metasurfaces. First, we review briefly very recent developments in the BIC physics in application to isolated subwavelength particles. We pay a special attention to novel opportunities for nonlinear nanophotonics due to the large field enhancement inside the particle volume creating the resonant states with high-quality (high-Q) factors, the so-called quasi-BIC, that can be supported by the subwavelength particles. Second, we discuss novel applications of the BIC physics to all-dielectric optical metasurfaces with broken-symmetry metaatoms when tuning to the BIC conditions allows to enhance substantially the Q factor of the flat-optics dielectric structures. We also present the original results on nonlinear high-Q metasurfaces and predict that the frequency conversion efficiency can be boosted dramatically by smart engineering of the asymmetry parameter of dielectric metasurfaces in the vicinity of the quasi-BIC regime. arXiv:1810.08698v1 [physics.optics]

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Floquet Bound States in a Driven Two-Particle Bose–Hubbard Model with an Impurity

Cited by 9 publications

References 40 publications

Floquet-surface bound states in the continuum in a resonantly driven one-dimensional tilted defect-free lattice

Floquet-surface bound states in the continuum in a resonantly driven one-dimensional tilted defect-free lattice

Interaction-induced topological bound states and Thouless pumping in a one-dimensional optical lattice

Meta-optics and bound states in the continuum

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