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.
Solitons in polyacetylene
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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 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.
citing papers explorer
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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.
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Gain engineering and atom lasing in a topological edge state in synthetic dimensions
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.
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Bipolaronic High-Temperature Superconductivity from Phonon-Modulated Hopping: A Perspective
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.
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Adiabatic Quantum Simulation of the Topological Su--Schrieffer--Heeger--Hubbard Model
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.
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Scattering of kinks in Frankensteinian potentials: Kinks as bubbles of exotic mass and phase transitions in oscillon production
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.
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Front propagation in non-homogeneous $\phi^4$ model
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.
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Topological transitions controlled by the interaction 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.
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Higher-order topological corner states and edge states in grid-like frames
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.