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Characterizing the Many Body Localization Crossover as a Metal-Insulator Transition: Localization length from Polarization and Quantum Metric
W. N. Faugno, Tomoki Ozawa
Many body localization (MBL) represents a unique physical phenomenon, providing a testing ground for exploring thermalization, or more precisely its failure. Here we characterize t…
Mean-chiral displacement in coherently driven photonic lattices and its application to synthetic frequency dimensions
Greta Villa, Iacopo Carusotto, Tomoki Ozawa
Characterizing topologically nontrivial photonic lattices by measuring their topological invariants is crucial in topological photonics. In conservative one-dimensional systems, a…
Drude weight and the many-body quantum metric in one-dimensional Bose systems
Grazia Salerno, Tomoki Ozawa, Päivi Törmä
We study the effect of quantum geometry on the many-body ground state of one-dimensional interacting bosonic systems. We find that the Drude weight is given by the sum of the kinet…
Two-dimensional lattice with an imaginary magnetic field
Tomoki Ozawa, Tomoya Hayata
We introduce a two-dimensional non-Hermitian lattice model with an imaginary magnetic field and elucidate various unique features which are absent in Hermitian lattice models with…
Density dependent gauge field inducing emergent SSH physics, solitons and condensates in a discrete nonlinear Schrödinger equation
William N. Faugno, Mario Salerno, Tomoki Ozawa
We investigate a discrete non-linear Schrödinger equation with dynamical, density-difference-dependent, gauge fields. We find a ground-state transition from a plane wave condensate…
Bulk-edge correspondence of Stiefel-Whitney and Euler insulators through the entanglement spectrum and cutting procedure
Ryo Takahashi, Tomoki Ozawa
We propose an unconventional bulk-edge correspondence for two-dimensional Stiefel-Whitney insulators and Euler insulators, which are topological insulators protected by the sy…