In a free fermion chain, the coarse-grained density distribution becomes almost uniform at sufficiently large typical times for any initial state with fixed macroscopic particle number, proving macroscopic irreversibility from unitary evolution.
Srednicki, Chaos and quantum thermalization , Phys
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
fields
cond-mat.stat-mech 3verdicts
UNVERDICTED 3representative citing papers
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.
The S=1/2 XY and XYZ models on d≥2 hypercubic lattices possess no nontrivial local conserved quantities.
citing papers explorer
-
Macroscopic Irreversibility in Quantum Systems: Free Expansion in a Fermion Chain
In a free fermion chain, the coarse-grained density distribution becomes almost uniform at sufficiently large typical times for any initial state with fixed macroscopic particle number, proving macroscopic irreversibility from unitary evolution.
-
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.
-
The $S=\frac{1}{2}$ XY and XYZ models on the two or higher dimensional hypercubic lattice do not possess nontrivial local conserved quantities
The S=1/2 XY and XYZ models on d≥2 hypercubic lattices possess no nontrivial local conserved quantities.