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Bose-Hubbard Model at Finite Temperature

Bose-Hubbard Model at Finite Temperature

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Numerical vs Analytical<br />

DMRG, DMFT, NRG,…<br />

Monte-Carlo (1D, 2D, 3D)<br />

BUT:<br />

• Large-scale/flexibility?<br />

• Fermions: Monte-Carlo sign<br />

• “Cassandra” Problem<br />

Mean-Field Theory<br />

+ Quantum Corrections<br />

Perturb<strong>at</strong>ion Theory<br />

+ Resumm<strong>at</strong>ion<br />

BHM=Benchmark<br />

Disorder, Geometries<br />

Flavour, Spinor,….<br />

Fermi-<strong>Hubbard</strong>

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