• Kartik Chhajed

      Articles written in Resonance – Journal of Science Education

    • From Ising Model to Kitaev Chain: An Introduction to Topological Phase Transitions

      Kartik Chhajed

      More Details Abstract Fulltext PDF

      In this general article, we map the one-dimensional trans-verse field quantum Ising model of ferromagnetism to Kitaev’s one-dimensional p-wave superconductor, which has application in fault-tolerant topological quantum computing. Kitaev chain is an example of a new class of quantum critical phenomena—the topological phase transition. Mapping Pauli’s spin operators of transverse field quantum Ising chain to spinless fermionic creation and annihilation operators by inverse Jordan–Wigner transformation leads to a Hamiltonian form closely related Kitaev chain.

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