The Jordan-Wigner transformation is a mathematical technique used in quantum mechanics and condensed matter physics to map spin systems to fermionic systems. It provides a way to express operators of spin-1/2 systems (like those found in quantum spin chains) in terms of fermionic creation and annihilation operators.
Articles by others on the same topic
The Jordan–Wigner transformation represents a one-dimensional spin one-half chain by fermions with a parity string preceding each site. With , one has and . The string converts the off-site canonical anticommutation relations into commuting spin operators. Adjacent exchange terms become quadratic fermion expressions, while a periodic end bond depends on global fermion parity.