• Anantha Hegde

      Articles written in Resonance – Journal of Science Education

    • Exploring Ideas in Topological Quantum Phenomena: A Journey Through the SSH Model. 1

      Anantha Hegde Adarsh Kumar Adhip Agarwala Bhaskaran Muralidharan

      More Details Abstract Fulltext PDF

      Geared as an invitation for undergraduates, beginning graduate students, we present a pedagogical introduction to one-dimensional topological phases, particularly the Su--Schrie-ffer--Heeger model. In the process, we delve upon ideas of entanglement using the correlator method and the von-Neumann density-matrix method, geometric phase, polarization, transport signatures and the role of electron-electron interactions. Through hands-on numerical experiments, whose codes are shared (https://github.com/hnoend/SSH_codes), we try to drive home the message of why a program of simulating quantum electronics with topological toy models is the storehouse for discovering fantastic physics ideas.

    • Exploring Ideas in Topological Quantum Phenomena: A Journey Through the SSH Model. 2

      Anantha Hegde Adarsh Kumar Adhip Agarwala Bhaskaran Muralidharan

      More Details Abstract Fulltext PDF

      Geared as an invitation for undergraduates, beginning graduatestudents, we present a pedagogical introduction to one dimen-sional topological phases – in particular the Su-Schrieffer-Heeger model. In the process, we delve upon ideas ofentangleme using the correlatormethod and the von-Neumanndensity-matrix method, geometric phase, polarization, transportsignatures and the role of electron-electron interactions.Thro- ugh hands-on numerical experiments, whose codes areshared, we try to drive home the message why a program ofsimulating quantum electronics with topological toy modelsis the storehouse for discovering fantastic physics ideas.

    • Exploring Ideas in Topological Quantum Phenomena: A Journey Through the SSH Model. 3

      Anantha Hegde Adarsh Kumar, Adhip Agarwala Bhaskaran Muralidharan

      More Details Abstract Fulltext PDF

      Geared as an invitation for undergraduates, beginning graduatestudents, we present a pedagogical introduction to one- dimensionaltopological phases—in particular, the Su–Schrieffer–Heegermodel. In the process, we delve upon ideas of entanglementusing the correlator method and the von-Neumann density matrix method,geometric phase, polarization, transport signaturesand the role of electron-electron interactions. Through hands onnumerical experiments, whose codes are shared, we try todrive home the message why a program of simulating quantumelectronics with topological toy models is the storehouse fordiscovering fantastic physics ideas.

    • Exploring Ideas in Topological Quantum Phenomena: A Journey Through the SSH Model. 4

      Anantha Hegde Adarsh Kumar Adhip Agarwala Bhaskaran Muralidharan

      More Details Abstract Fulltext PDF

      Geared as an invitation for undergraduates, beginning graduate students, we present a pedagogical introduction to one- dimensional topological phases-in particular, the Su­Schrieff er-Heeger model. In the process, we delve upon ideas of entanglement using the correlator method and the von­Neumann density-matrix method, geometric phase, polari­zation, transport signatures and the role of electron-electron interactions. Through hands-on numerical experiments, whose codes are shared, we try to drive home the message why a program of simulating quantum electronics with topological toy models is the storehouse for discovering fantastic physics ideas.

    • Exploring Ideas in Topological Quantum Phenomena: A Journey Through the SSH Model. 5

      Anantha Hegde Adarsh Kumar Adhip Agarwala Bhaskaran Muralidharan

      More Details Abstract Fulltext PDF

      Geared as an invitation for undergraduates, beginning graduatestudents, we present a pedagogical introduction to onedimensional topological phases—in particular, the Su–Schrieffer–Heeger model. In the process, we delve upon ideas ofentanglement using the correlator method and the von-Neumanndensity-matrix method, geometric phase, polarization,transport signatures and the role of electron-electron interactions.Through hands-on numerical experiments, whose codesare shared, we try to drive home the message why a programof simulating quantum electronics with topological toy modelsis the store-house for discovering fantastic physics ideas.

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