Parameters
MBL phase:
Strong disorder (W/J >> 1) localizes all many-body eigenstates. Fails to thermalize — violates ETH.
ETH:
Thermal: eigenstate expectation values match microcanonical. MBL: initial state memory preserved forever.
Entanglement:
Thermal: S ~ volume (L)
MBL: S ~ area (const)
MBL growth: S(t) ~ log(t)
l-bits:
MBL conserved quantities with exponentially decaying interactions: tau_i^z.
Strong disorder (W/J >> 1) localizes all many-body eigenstates. Fails to thermalize — violates ETH.
ETH:
Thermal: eigenstate expectation values match microcanonical. MBL: initial state memory preserved forever.
Entanglement:
Thermal: S ~ volume (L)
MBL: S ~ area (const)
MBL growth: S(t) ~ log(t)
l-bits:
MBL conserved quantities with exponentially decaying interactions: tau_i^z.