Singular-connection approach to topological phases and resonant optical responses

  title={Singular-connection approach to topological phases and resonant optical responses},
  author={Bruno Mera and Tomoki Ozawa},
  journal={Physical Review B},

Figures from this paper



Geometric Phases in Classical and Quantum Mechanics

Preface - Mathematical background - Adiabatic phases in quantum mechanics - Adiabatic phases in classical mechanics - Geometric approach to classical phases - Geometry of quantum evolution -

Nonadiabatic nonlinear optics and quantum geometry — Application to the twisted Schwinger effect

We study the tunneling mechanism of nonlinear optical processes in solids induced by strong coherent laser fields. The theory is based on an extension of the Landau-Zener model with nonadiabatic

Concept of Quantum Geometry in Optoelectronic Processes in Solids: Application to Solar Cells

A pedagogical introduction is given here to the basic ideas and their applications to optoelectronic processes in solids.

Quantised adiabatic charge transport in the presence of substrate disorder and many-body interaction

The result for the quantised charge transport induced by an adiabatically varying substrate potential is generalised to the case in which both substrate disorder and many-body interaction are

Riemannian geometry of resonant optical responses

The geometry of quantum states is well-established as a basis for understanding the response of electronic systems to static electromagnetic fields, as exemplified by the theory of the quantum and

Experimental Measurement of the Quantum Metric Tensor and Related Topological Phase Transition with a Superconducting Qubit.

Two methods are experimentally demonstrated to directly measure the quantum metric tensor for characterizing the geometry and topology of underlying quantum states in parameter space and a topological phase transition in a simulated time-reversal-symmetric system is explored.

Geometric Phases in Physics

During the last few years, considerable interest has been focused on the phase that waves accumulate when the equations governing the waves vary slowly. The recent flurry of activity was set off by a

Topological nature of nonlinear optical effects in solids

Various nonlinear optical effects, such as the shift current in noncentrosymmetric materials, photovoltaic Hall response, and photo-induced change of order parameters under the continuous irradiation of monochromatic light are described in a unified fashion by topological quantities involving the Berry connection and Berry curvature.

Theory of polarization of crystalline solids.

It is shown that physically $\ensuremath{\Delta}P can be interpreted as a displacement of the center of charge of the Wannier functions.

Microwave Spectroscopy Reveals the Quantum Geometric Tensor of Topological Josephson Matter.

The oscillator strength of the absorption rates provides direct evidence of topological quantum properties of the Andreev states and it is demonstrated that the quantum geometric tensor of AndreeV states can be extracted by synthetically polarized microwaves.