Exotic light dynamics around a fourth order exceptional point

Dey, Sibnath; Laha, A.; Ghosh, Somnath

doi:10.48550/arxiv.2008.07903

2020

DOI: 10.48550/arxiv.2008.07903

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Exotic light dynamics around a fourth order exceptional point

Sibnath Dey¹,

A. Laha²,

Somnath Ghosh³

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2021

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“…Generally speaking, to obtain n-th order exceptional points (EP n ), where an n-fold degenerate eigenvalue corresponds to a single eigenstate, 2n − 2 parameters must be tuned [41]. Thus, even though higherorder exceptional points have been observed [42][43][44], in systems with up to three spatial dimensions, only EP 2 occur intrinsically, i.e. without adjusting external parameters.…”

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confidence: 99%

Fourth-Order Exceptional Points in Correlated Quantum Many-Body Systems

Crippa,

Budich,

Sangiovanni

2021

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Non-Hermtian (NH) Hamiltonians effectively describing the physics of dissipative systems have become an important tool with applications ranging from classical meta-materials to quantum manybody systems. Exceptional points, the NH counterpart of spectral degeneracies, are among the paramount phenomena unique to the NH realm. While realizations of second-order exceptional points have been reported in a variety of microscopic models, higher-order ones have largely remained elusive in the many-body context, as they in general require fine tuning in high-dimensional parameter spaces. Here, we propose a microscopic model of correlated fermions in three spatial dimensions and demonstrate the occurrence of interaction-induced fourth-order exceptional points that are protected by chiral symmetry. We demonstrate their stability against symmetry breaking perturbations and investigate their characteristic analytical and topological properties.

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Fourth-Order Exceptional Points in Correlated Quantum Many-Body Systems

Crippa,

Budich,

Sangiovanni

2021

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Exotic light dynamics around a fourth order exceptional point

Cited by 1 publication

References 43 publications

Fourth-Order Exceptional Points in Correlated Quantum Many-Body Systems

Fourth-Order Exceptional Points in Correlated Quantum Many-Body Systems

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