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Exact real time dynamics with free fermions in disguise

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arxiv 2405.20832 v2 pith:YDB6Q4VJ submitted 2024-05-31 cond-mat.stat-mech nlin.SIquant-ph

Exact real time dynamics with free fermions in disguise

classification cond-mat.stat-mech nlin.SIquant-ph
keywords quantumtimedynamicsfermionsfreehiddenrealselected
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We consider quantum spin chains with a hidden free fermionic structure, distinct from the Jordan-Wigner transformation and its generalizations. We express selected local operators with the hidden fermions. This way we can exactly solve the real time dynamics in various physical scenarios, including the computation of selected dynamical two point functions, in continuous or discrete time. In the latter case we build a quantum circuit that can be implemented on a quantum computer. With this we extend the family of classically simulable quantum many-body processes.

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  1. Solving models with generalized free fermions I: Algebras and eigenstates

    cond-mat.stat-mech 2026-02 conditional novelty 7.0

    Spin chains with hidden free-fermion structure acquire explicit exact eigenstates through an anti-symmetric combination of two commuting Hamiltonian copies, demonstrated for the free-fermions-in-disguise model.