Generalized Quantum Geometric Tensor in a Non-Hermitian Exciton-Polariton System
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866909111217553408 |
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| author | Hu, Y. -M. Robin Ostrovskaya, Elena A. Estrecho, Eliezer |
| author_facet | Hu, Y. -M. Robin Ostrovskaya, Elena A. Estrecho, Eliezer |
| contents | In this work, we review different generalizations of the quantum geometric tensor (QGT) in two-band non-Hermitian systems and propose a protocol for measuring them in experiments. We present the generalized QGT components, i.e. the quantum metric and Berry curvature, for a non-Hermitian hybrid photonic (exciton-polariton) system and show that the generalized non-Hermitian QGT can be constructed from experimental observables. In particular, we extend the existing method of measuring the QGT that uses the pseudospins in photonic and exciton-polariton systems by suggesting a method to construct the left eigenstates from experiments. We also show that the QGT components have clear signatures in wave-packet dynamics, where the anomalous Hall drift arises from both the non-Hermitian Berry curvature and Berry connection, suggesting that both left and right eigenstates are necessary for defining non-Hermitian band geometries and topologies. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2306_00351 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Generalized Quantum Geometric Tensor in a Non-Hermitian Exciton-Polariton System Hu, Y. -M. Robin Ostrovskaya, Elena A. Estrecho, Eliezer Mesoscale and Nanoscale Physics Optics In this work, we review different generalizations of the quantum geometric tensor (QGT) in two-band non-Hermitian systems and propose a protocol for measuring them in experiments. We present the generalized QGT components, i.e. the quantum metric and Berry curvature, for a non-Hermitian hybrid photonic (exciton-polariton) system and show that the generalized non-Hermitian QGT can be constructed from experimental observables. In particular, we extend the existing method of measuring the QGT that uses the pseudospins in photonic and exciton-polariton systems by suggesting a method to construct the left eigenstates from experiments. We also show that the QGT components have clear signatures in wave-packet dynamics, where the anomalous Hall drift arises from both the non-Hermitian Berry curvature and Berry connection, suggesting that both left and right eigenstates are necessary for defining non-Hermitian band geometries and topologies. |
| title | Generalized Quantum Geometric Tensor in a Non-Hermitian Exciton-Polariton System |
| topic | Mesoscale and Nanoscale Physics Optics |
| url | https://arxiv.org/abs/2306.00351 |