Rigorous proof that random half-chain initial states in a low-density free-fermion model thermalize, with local particle counts matching equilibrium at long times with high probability.
On Many-Body Localization for Quantum Spin Chains
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abstract
For a one-dimensional spin chain with random local interactions, we prove that many-body localization follows from a physically reasonable assumption that limits the amount of level attraction in the system. The construction uses a sequence of local unitary transformations to diagonalize the Hamiltonian and connect the exact many-body eigenfunctions to the original basis vectors.
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cond-mat.stat-mech 1years
2023 1verdicts
UNVERDICTED 1representative citing papers
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Nature abhors a vacuum: A simple rigorous example of thermalization in an isolated macroscopic quantum system
Rigorous proof that random half-chain initial states in a low-density free-fermion model thermalize, with local particle counts matching equilibrium at long times with high probability.