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Non-Hermitian Landau Levels
Anton Montag, Tomoki Ozawa
We formulate non-Hermitian Landau levels in two-dimensional systems under a complex perpendicular magnetic field. In the symmetric gauge, we derive their discretely spaced, highly…
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…
Geometric contribution to adiabatic amplification in non-Hermitian systems
Tomoki Ozawa, Henning Schomerus
Concepts from non-Hermitian quantum mechanics have proven useful in understanding and manipulating a variety of classical systems, such as those encountered in optics, classical me…
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…
Interaction-induced non-Hermitian topological phases from a dynamical gauge field
William N Faugno, Tomoki Ozawa
We present a minimal non-Hermitian model where a topologically nontrivial complex energy spectrum is induced by inter-particle interactions. Our model consists of a one-dimensional…
Band structures under non-Hermitian periodic potentials: Connecting nearly-free and bi-orthogonal tight-binding models
Ken Mochizuki, Tomoki Ozawa
We explore band structures of one-dimensional open systems described by periodic non-Hermitian operators, based on continuum models and tight-binding models. We show that imaginary…