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- Symmetry_protected_topological_order abstract "Symmetry Protected Topological order (SPT order)is a new kind of order in zero-temperature quantum-mechanical states of matter that have a symmetry and a finite energy gap.To derive the results in a most-invariant way, renormalization group methods are used (leading to equivalence classes corresponding to certain fixed points). The SPT order has the following defining properties:(a) distinct SPT states with a given symmetry cannot be smoothly deformed into each other without a phase transition, if the deformation preserves the symmetry. (b) however, they all can be smoothly deformed into the same trivial product state without a phase transition, if the symmetry is broken during the deformation.Using the notion of quantum entanglement, we can say that SPT statesare short-range entangled states with a symmetry (by contrast: for long-range entanglement see topological order, which is not related to the famous EPR paradox).Since short-range entangled states have only trivial topological orders we may also refer the SPT order as Symmetry Protected "Trivial" order.".
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- Symmetry_protected_topological_order wikiPageLength "13932".
- Symmetry_protected_topological_order wikiPageOutDegree "49".
- Symmetry_protected_topological_order wikiPageRevisionID "683575565".
- Symmetry_protected_topological_order wikiPageWikiLink AKLT.
- Symmetry_protected_topological_order wikiPageWikiLink AKLT_Model.
- Symmetry_protected_topological_order wikiPageWikiLink AKLT_model.
- Symmetry_protected_topological_order wikiPageWikiLink Absolute_zero.
- Symmetry_protected_topological_order wikiPageWikiLink Anyon.
- Symmetry_protected_topological_order wikiPageWikiLink Category:Condensed_matter_physics.
- Symmetry_protected_topological_order wikiPageWikiLink Category:Mathematical_physics.
- Symmetry_protected_topological_order wikiPageWikiLink Category:Quantum_phases.
- Symmetry_protected_topological_order wikiPageWikiLink Category:Symmetry.
- Symmetry_protected_topological_order wikiPageWikiLink Category:Topology.
- Symmetry_protected_topological_order wikiPageWikiLink Chemical_polarity.
- Symmetry_protected_topological_order wikiPageWikiLink Circle_group.
- Symmetry_protected_topological_order wikiPageWikiLink EPR_paradox.
- Symmetry_protected_topological_order wikiPageWikiLink Fractional_charge.
- Symmetry_protected_topological_order wikiPageWikiLink Fractional_statistics.
- Symmetry_protected_topological_order wikiPageWikiLink Gapless_boundary_excitation.
- Symmetry_protected_topological_order wikiPageWikiLink Gauge_theory.
- Symmetry_protected_topological_order wikiPageWikiLink Group_cohomology.
- Symmetry_protected_topological_order wikiPageWikiLink Group_super-cohomology.
- Symmetry_protected_topological_order wikiPageWikiLink Group_theory.
- Symmetry_protected_topological_order wikiPageWikiLink Long-range_entanglement.
- Symmetry_protected_topological_order wikiPageWikiLink Monodromy_defects.
- Symmetry_protected_topological_order wikiPageWikiLink Quantum_Hall_effect.
- Symmetry_protected_topological_order wikiPageWikiLink Quantum_entanglement.
- Symmetry_protected_topological_order wikiPageWikiLink Quantum_spin_Hall_effect.
- Symmetry_protected_topological_order wikiPageWikiLink Renormalization_group.
- Symmetry_protected_topological_order wikiPageWikiLink Rotation_group_SO(3).
- Symmetry_protected_topological_order wikiPageWikiLink SO(3).
- Symmetry_protected_topological_order wikiPageWikiLink Short-range_entanglement.
- Symmetry_protected_topological_order wikiPageWikiLink Spontaneous_symmetry_breaking.
- Symmetry_protected_topological_order wikiPageWikiLink T-symmetry.
- Symmetry_protected_topological_order wikiPageWikiLink Time_reversal_symmetry.
- Symmetry_protected_topological_order wikiPageWikiLink Topological_insulator.
- Symmetry_protected_topological_order wikiPageWikiLink Topological_order.
- Symmetry_protected_topological_order wikiPageWikiLink U(1).
- Symmetry_protected_topological_order wikiPageWikiLinkText "SPT order".
- Symmetry_protected_topological_order wikiPageWikiLinkText "Symmetry protected topological order".
- Symmetry_protected_topological_order wikiPageWikiLinkText "symmetry protected topological order".
- Symmetry_protected_topological_order wikiPageWikiLinkText "symmetry protected topological states".
- Symmetry_protected_topological_order wikiPageWikiLinkText "symmetry protected topological".
- Symmetry_protected_topological_order wikiPageWikiLinkText "symmetry protected".
- Symmetry_protected_topological_order hasPhotoCollection Symmetry_protected_topological_order.
- Symmetry_protected_topological_order wikiPageUsesTemplate Template:Reflist.
- Symmetry_protected_topological_order subject Category:Condensed_matter_physics.
- Symmetry_protected_topological_order subject Category:Mathematical_physics.
- Symmetry_protected_topological_order subject Category:Quantum_phases.
- Symmetry_protected_topological_order subject Category:Symmetry.
- Symmetry_protected_topological_order subject Category:Topology.
- Symmetry_protected_topological_order hypernym Kind.
- Symmetry_protected_topological_order type Mechanic.
- Symmetry_protected_topological_order type Physic.
- Symmetry_protected_topological_order comment "Symmetry Protected Topological order (SPT order)is a new kind of order in zero-temperature quantum-mechanical states of matter that have a symmetry and a finite energy gap.To derive the results in a most-invariant way, renormalization group methods are used (leading to equivalence classes corresponding to certain fixed points).".
- Symmetry_protected_topological_order label "Symmetry protected topological order".
- Symmetry_protected_topological_order sameAs m.0kbg4k1.
- Symmetry_protected_topological_order sameAs Q7661340.
- Symmetry_protected_topological_order sameAs Q7661340.
- Symmetry_protected_topological_order wasDerivedFrom Symmetry_protected_topological_order?oldid=683575565.
- Symmetry_protected_topological_order isPrimaryTopicOf Symmetry_protected_topological_order.