⟨+|ρ(t)|+⟩=12+12cos(ωt).This oscillation is due to the off-diagonal elements of ρ(t), and it is called the coherence of the system (see F...⟨+|ρ(t)|+⟩=12+12cos(ωt).This oscillation is due to the off-diagonal elements of ρ(t), and it is called the coherence of the system (see Fig. This is called decoherence of the system, and the value of γ depends on the physical mechanism that leads to the decoherence. If the state |1⟩ has a larger energy than |0⟩ there may be processes such as spontaneous emission that drive the system to the ground state.
MBL systems also exhibit a large number of conserved quantities, but in contrast to the case of integrable systems, where each conserved quantity is in general expressed in terms of an integral of a l...MBL systems also exhibit a large number of conserved quantities, but in contrast to the case of integrable systems, where each conserved quantity is in general expressed in terms of an integral of a local density, in MBL systems the conserved quantities are themselves local, although emergent.
