TY - JOUR
T1 - Localization-protected quantum order
AU - Huse, David A.
AU - Nandkishore, Rahul
AU - Oganesyan, Vadim
AU - Pal, Arijeet
AU - Sondhi, Shivaji Lal
PY - 2013/7/22
Y1 - 2013/7/22
N2 - Closed quantum systems with quenched randomness exhibit many-body localized regimes wherein they do not equilibrate, even though prepared with macroscopic amounts of energy above their ground states. We show that such localized systems can order, in that individual many-body eigenstates can break symmetries or display topological order in the infinite-volume limit. Indeed, isolated localized quantum systems can order even at energy densities where the corresponding thermally equilibrated system is disordered, i.e., localization protects order. In addition, localized systems can move between ordered and disordered localized phases via nonthermodynamic transitions in the properties of the many-body eigenstates. We give evidence that such transitions may proceed via localized critical points. We note that localization provides protection against decoherence that may allow experimental manipulation of macroscopic quantum states. We also identify a "spectral transition" involving a sharp change in the spectral statistics of the many-body Hamiltonian.
AB - Closed quantum systems with quenched randomness exhibit many-body localized regimes wherein they do not equilibrate, even though prepared with macroscopic amounts of energy above their ground states. We show that such localized systems can order, in that individual many-body eigenstates can break symmetries or display topological order in the infinite-volume limit. Indeed, isolated localized quantum systems can order even at energy densities where the corresponding thermally equilibrated system is disordered, i.e., localization protects order. In addition, localized systems can move between ordered and disordered localized phases via nonthermodynamic transitions in the properties of the many-body eigenstates. We give evidence that such transitions may proceed via localized critical points. We note that localization provides protection against decoherence that may allow experimental manipulation of macroscopic quantum states. We also identify a "spectral transition" involving a sharp change in the spectral statistics of the many-body Hamiltonian.
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U2 - 10.1103/PhysRevB.88.014206
DO - 10.1103/PhysRevB.88.014206
M3 - Article
AN - SCOPUS:84880826517
SN - 1098-0121
VL - 88
JO - Physical Review B - Condensed Matter and Materials Physics
JF - Physical Review B - Condensed Matter and Materials Physics
IS - 1
M1 - 014206
ER -