Topological edge modes in k-periodic lattices are characterized by eigenvalues of the leading principal submatrix of the symbol function, enabling analysis of protected interface states in damped and disordered multi-band systems.
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Effective gain engineered through evaporative cooling of thermal atoms enables Bose-Einstein condensation in a topological edge state of a synthetic hyperfine SSH lattice, realizing a topological atom laser.
In Peierls electron-phonon models, small but light bipolarons form a dilute s-wave superconductor with Tc/Ω exceeding the Migdal-Eliashberg bound, as shown by sign-problem-free QMC simulations that remain robust to Coulomb repulsion.
A gate-based adiabatic quantum simulation framework for the SSHH model, validated by classical circuit simulations, shows topological signatures remain robust to weak Hubbard interactions but collapse beyond a symmetry-breaking threshold, with polynomial resource scaling.
In two Frankensteinian potentials, kink scattering shows a phase-transition-like change from massive wave disintegration to oscillon production when field thresholds are low enough.
In a monitored Rashba chain the disconnected entanglement entropy stays topological for a time linear in system size because monitoring switches between degenerate topological states while poisoning other quasiparticles.
In the supersymmetric gapped phase of an interacting Majorana chain, the lowest excitations are soliton-antisoliton pairs, each binding a localized Majorana mode that together form a nonlocal Dirac fermion distinguishing even and odd fermion parity states.
In the non-homogeneous φ⁴ model, standard effective kink descriptions match field results well, but half-kink descriptions require a modified effective model to reproduce the full field-theory propagation speeds and profiles over a broad parameter range.
In a 1D Su-Schrieffer-Heeger model augmented by exponentially decaying long-range interactions, increasing the interaction range triggers topological phase transitions even for weak coupling strengths.
Analytical expressions and existence criteria for higher-order topological corner and edge states in two-dimensional kagome and square grid-like beam frames are presented.
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Topologically protected interface modes in multi-band damped lattice models
Topological edge modes in k-periodic lattices are characterized by eigenvalues of the leading principal submatrix of the symbol function, enabling analysis of protected interface states in damped and disordered multi-band systems.