Nonlinear optical processes in cavity light-matter systems

Lysne, Markus; Werner, Philipp

doi:10.1103/physrevb.104.035209

Phys. Rev. B

2021

DOI: 10.1103/physrevb.104.035209

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Nonlinear optical processes in cavity light-matter systems

Markus Lysne

Philipp Werner

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“…Quantum geometry, on the other hand, refers to quantities that are local in momentum space, such as the Berry curvature and quantum metric [5]. They are related to topology, but also influence the motion of electrons in the Brillouin zone (BZ) [6,7], nonlinear optical responses [8][9][10][11][12][13], and flat-band superconductivity [14,15].…”

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Quantum Optics Measurement Scheme for Quantum Geometry and Topological Invariants

Lysne,

Schüler,

Werner

2023

Phys. Rev. Lett.

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We show how a quantum optical measurement scheme based on heterodyne detection can be used to explore geometrical and topological properties of condensed matter systems. Considering a 2D material placed in a cavity with a coupling to the environment, we compute correlation functions of the photons exiting the cavity and relate them to the hybrid light-matter state within the cavity. Different polarizations of the intracavity field give access to all components of the quantum geometric tensor on contours in the Brillouin zone defined by the transition energy. Combining recent results based on the metric-curvature correspondence with the measured quantum metric allows us to characterize the topological phase of the material. Moreover, in systems where S z is a good quantum number, the procedure also allows us to extract the spin Chern number. As an interesting application, we consider a minimal model for twisted bilayer graphene at the magic angle, and discuss the feasibility of extracting the Euler number.

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confidence: 99%

Quantum Optics Measurement Scheme for Quantum Geometry and Topological Invariants

Lysne,

Schüler,

Werner

2023

Phys. Rev. Lett.

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Nonlinear optical processes in cavity light-matter systems

Cited by 1 publication

References 51 publications

Quantum Optics Measurement Scheme for Quantum Geometry and Topological Invariants

Quantum Optics Measurement Scheme for Quantum Geometry and Topological Invariants

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