Quantum decay in a topological continuum

Longhi, Stefano

doi:10.1103/physreva.100.022123

Cited by 28 publications

(25 citation statements)

References 115 publications

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“…A paradigmatic system in this respect is the Hatano-Nelson model [35]. It consists of a simple one dimensional tight-binding Hamiltonian reading (33) where J > 0, −1 ≤ δ ≤ 1 and the lattice sites {|n } can either represent levels, e.g. in synthetic lattice models [36], or bosonic resonant modes (cavities) coupled to each other.…”

Section: Dissipation-induced Non-reciprocitymentioning

confidence: 99%

Non-Hermitian physics and master equations

Roccati,

Palma,

Bagarello

et al. 2022

Preprint

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A longstanding tool to characterize the evolution of open Markovian quantum systems is the GKSL (Gorini-Kossakowski-Sudarshan-Lindblad) master equation. However, in some cases, open quantum systems can be effectively described with non-Hermitian Hamiltonians, which have attracted great interest in the last twenty years due to a number of unconventional properties, such as the appearance of exceptional points. Here, we present a short review of these two different approaches aiming in particular to highlight their relation and illustrate different ways of connecting non-Hermitian Hamiltonian to a GKSL master equation for the full density matrix.

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Section: Dissipation-induced Non-reciprocitymentioning

confidence: 99%

Non-Hermitian physics and master equations

Roccati,

Palma,

Bagarello

et al. 2022

Preprint

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“…We consider the coupling of N e localized quantum emitters to the Haldane lattice, described by the Fano-Anderson model (h = 1) [36][37][38][39]…”

Section: Application To Decay Of Quantum Emittersmentioning

confidence: 99%

Photonic band structure design using persistent homology

Leykam

Angelakis

2021

APL Photonics

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The machine learning technique of persistent homology classifies complex systems or datasets by computing their topological features over a range of characteristic scales. There is growing interest in applying persistent homology to characterize physical systems such as spin models and multiqubit entangled states. Here we propose persistent homology as a tool for characterizing and optimizing band structures of periodic photonic media. Using the honeycomb photonic lattice Haldane model as an example, we show how persistent homology is able to reliably classify a variety of band structures falling outside the usual paradigms of topological band theory, including "moat band" and multi-valley dispersion relations, and thereby control the properties of quantum emitters embedded in the lattice. Our method is promising for the automated design of more complex systems such as photonic crystals and Moire superlattices.

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“…Recently, a new class of three-dimensional (3D) topological phases named higher-order topological insulators (HOTI), which go beyond the usual bulk-boundary correspondence, has been discovered [11]. In general, a ddimensional nth-order topological insulator can host topologically protected (d − n)-dimensional gapless boundary states [24][25][26]. Higher-order topological insulators are insulating in the bulk or surfaces and become metallic only when edges or hinges are introduced, respectively.…”

Section: A Introductionmentioning

confidence: 99%

Higher-Order Semimetals and Chiral Hinge States in Topolectrical Circuit Model

Rafi-Ul-Islam

Siu

Jalil

2021

Preprint

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We propose a 3D topolectrical (TE) network that can be tuned to realize various higher-order topological gapless and chiral phases. We first study a higher-order Dirac semimetal phase that exhibits a hinge-like Fermi arc linking the Dirac points. This circuit can be extended to host highly tunable first- and second-order Weyl semimetals phases by introducing a non-reciprocal resistive coupling in the x − y plane that breaks time reversal symmetry. The first- and second-order Weyl points are connected by zero-admittance surface and hinge states, respectively. We also study the emergence of first- and second-order chiral modes induced by resistive couplings between similar nodes in the z-direction. These modes respectively occur in the midgap of the surface and hinge admittance bands in our circuit model without the need for any external magnetic field.

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Quantum decay in a topological continuum

Cited by 28 publications

References 115 publications

Non-Hermitian physics and master equations

Non-Hermitian physics and master equations

Photonic band structure design using persistent homology

Higher-Order Semimetals and Chiral Hinge States in Topolectrical Circuit Model

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