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Emergent topological properties in spatially modulated sub-wavelength barrier lattices
Giedrius Žlabys, Wen-Bin He, Domantas Burba +3
We investigate topological phenomena in a spatially modulated Dirac- lattice, where the scattering potential varies periodically in space. Changing the potential modulation freq…
Harmonic band theory: rigidity of non-zero degree harmonic maps from 2-torus to complex projective space
Yoshinori Hashimoto, Bruno Mera, Tomoki Ozawa
We prove the rigidity of isotropic harmonic maps from a 2-torus to a complex projective space, when they are constructed from holomorphic embeddings associated to complete linear s…
Anomalous Wave-Packet Dynamics in One-Dimensional Non-Hermitian Lattices
Yanyan He, Tomoki Ozawa
Non-Hermitian (NH) systems have attracted great attention due to their exotic phenomena beyond Hermitian domains. Here we study the wave-packet dynamics in general one-dimensional…
Quantum geometrical effects in non-Hermitian systems
Anton Montag, Tomoki Ozawa
We explore the relation between quantum geometry in non-Hermitian systems and physically measurable phenomena. We highlight various situations in which the behavior of a non-Hermit…
Relaxation toward an Ideal Chern Band through Coupling to a Markovian Bath
Bruno Mera, Tomoki Ozawa
We propose a microscopic, weak-coupling mechanism by which generic Chern bands asymptotically relax toward ideal bands. We consider coupling interacting electrons to a Caldeira-Leg…
Density Matrix Geometry and Sum Rules
Guangyue Ji, David E. Palomino, Nathan Goldman +4
Geometry plays a fundamental role in a wide range of physical responses, from anomalous transport coefficients to their related sum rules. Notable examples include the quantization…