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Compact Localized States in Electric Circuit Flatband Lattices
Carys Chase-Mayoral, L. Q. English, Yeongjun Kim +5
We generate compact localized states in an electrical diamond lattice, comprised of only capacitors and inductors, via local driving near its flatband frequency. We compare experim…
Conductance transition with interacting bosons in an Aharonov-Bohm cage
A. R. Kolovsky, P. S. Muraev, S. Flach
We study transport of interacting bosons through an Aharonov-Bohm cage - a building block of flat band networks - with coherent pump and sink leads. In the absence of interactions…
Flat Band Induced Metal-Insulator Transitions for Weak Magnetic Flux and Spin-Orbit Disorder
Yeongjun Kim, Tilen Čadež, Alexei Andreanov +1
We consider manifolds of tunable all-band flat (ABF) lattices in dimensions d = 1, 2, parametrized by a manifold angle parameter θ. We study localization properties of eigenstates…
Flatband generator in two dimensions
Wulayimu Maimaiti, Alexei Andreanov, Sergej Flach
Dispersionless bands -- \emph{flatbands} -- provide an excellent testbed for novel physical phases due to the fine-tuned character of flatband tight-binding Hamiltonians. The accom…
Universal flatband generator from compact localized states
Wulayimu Maimaiti, Sergej Flach, Alexei Andreanov
The band structure of some translationally invariant lattice Hamiltonians contains strictly dispersionless flatbands(FB). These are induced by destructive interference, and typical…
Excitation of localized condensates in the flat band of exciton-polariton Lieb lattice
Meng Sun, I. G. Savenko, S. Flach +1
We propose a way to directly excite compact localized condensates in a nearly flat band of the exciton-polariton Lieb lattice by short Laguerre-Gaussian pulses and investigate the…
Artificial flat band systems: from lattice models to experiments
Daniel Leykam, Alexei Andreanov, Sergej Flach
Certain lattice wave systems in translationally invariant settings have one or more spectral bands that are strictly flat or independent of momentum in the tight binding approximat…
Topological flat Wannier-Stark bands
Andrey R. Kolovsky, Ajith Ramachandran, Sergej Flach
We analyze the spectrum and eigenstates of a quantum particle in a bipartite two-dimensional tight-binding dice network with short range hopping under the action of a dc bias. We f…
Chiral Flat Bands: Existence, Engineering and Stability
Ajith Ramachandran, Alexei Andreanov, Sergej Flach
We study flat bands in bipartite tight-binding networks with discrete translational invariance. Chiral flat bands with chiral symmetry eigenenergy E = 0 and host compact localized…
Compact localized states and flatband generators in one dimension
Wulayimu Maimaiti, Alexei Andreanov, Hee Chul Park +2
Flat bands (FB) are strictly dispersionless bands in the Bloch spectrum of a periodic lattice Hamiltonian, recently observed in a variety of photonic and dissipative condensate net…
Detangling Flat Bands into Fano Lattices
Sergej Flach, Daniel Leykam, Joshua D. Bodyfelt +2
Macroscopically degenerate flat bands (FB) in periodic lattices host compact localized states which appear due to destructive interference and local symmetry. Interference provides…
Tunable transport with broken space-time symmetries
Sergey Denisov, Sergej Flach, Peter Hanggi
Transport properties of particles and waves in spatially periodic structures that are driven by external time-dependent forces manifestly depend on the space-time symmetries of the…
Resonant invisibility with finite range interacting fermions
Jean-Pierre Nguenang, Sergej Flach, Ramaz Khomeriki
We study the eigenstates of two opposite spin fermions on a one-dimensional lattice with finite range interaction. The eigenstates are projected onto the set of Fock eigenstates of…
Quantum discrete breathers
Ricardo A. Pinto, Sergej Flach
We review recent studies about quantum discrete breathers. We describe their basic properties in comparison with their classical counterparts, and the ways they may be addressed th…
Boundary effects on quantum q-breathers in a Bose-Hubbard chain
Ricardo A. Pinto, Jean Pierre Nguenang, Sergej Flach
We investigate the spectrum and eigenstates of a Bose-Hubbard chain containing two bosons with fixed boundary conditions. In the noninteracting case the eigenstates of the system d…
Quantum breathers in capacitively coupled Josephson junctions: Correlations, number conservation, and entanglement
R. A. Pinto, S. Flach
We consider the classical and quantum dynamics of excitations in a system of two capacitively coupled Josephson junctions. In the classical case the equations of motion admit discr…
Quantum localized modes in capacitively coupled Josephson junctions
R. A. Pinto, S. Flach
We consider the quantum dynamics of excitations in a system of two capacitively coupled Josephson junctions. Quantum breather states are found in the middle of the energy spectrum…
Quantum q-breathers in a finite Bose-Hubbard chain: The case of two interacting bosons
Jean Pierre Nguenang, R. A. Pinto, Sergej Flach
We study the spectrum and eigenstates of the quantum discrete Bose-Hubbard Hamiltonian in a finite one-dimensional lattice containing two bosons. The interaction between the bosons…
Quantum dynamics of localized excitations in a symmetric trimer molecule
R. A. Pinto, S. Flach
We study the time evolution of localized (local bond) excitations in a symmetric quantum trimer molecule. We relate the dynamical properties of localized excitations such as their…
Spin filters with Fano dots
M. E. Torio, K. Hallberg, S. Flach +2
We compute the zero bias conductance of electrons through a single ballistic channel weakly coupled to a side quantum dot with Coulomb interaction. In contrast to the standard setu…