Localization-protected quantum order
By D. Huse, R. Nandkishore, Vadim Oganesyan, A. Pal, Shiv Sondhi. 2013
327 citations recorded by the source corpus.
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.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/0a339de0ff639a3fe593991251f3185f653da2bc
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Citations in the corpus
- Local integrals of motion in many‐body localized systems (2016, background): “As such, they open interesting possibilities for the storage of quantum information, that can be locally manipulated and retrieved [92], for the protection of topological order at finite temperature, or for the realization of long-range order and finite temperature phase transitions in d = 1, that w”
- Pre-thermal phases of matter protected by time-translation symmetry (2016, background): “43 we introduced a formal definition of time-translation symmetry-breaking in MBL systems in terms of eigenstates (two equivalent formulations of which we called TTSB-1 and TTSB-2.)”
- Operator Spreading and the Emergence of Dissipative Hydrodynamics under Unitary Evolution with Conservation Laws (2017, background): “On the theory side, research in the field of many-body localization (MBL) [4–9] has revealed the existence of classes of generically interacting systems that do not obey quantum statistical mechanics, and understanding the nature of different MBL phases [10,11] and the transition(s) between MBL and ”
- Ergodicity breaking transition in finite disordered spin chains (2020, background): “This scenario predicts an eigenstate quantum phase transition from an ergodic to a nonergodic phase [36–39], the latter named many-body localization (MBL) [40–44].”
- The quantum Ising chain for beginners (2020, background): “˙x j+l j ij= 1 for any value of jand l, as can be easily veried. The present analysis is valid in the limit h max ˝J min, but long-range order of excited eigenstates was found also beyond this limit [10]. 5.2 Open boundary conditions and Majorana fermions The case of a chain with open boundary condi”
- Avalanches and many-body resonances in many-body localized systems (2021, background): “The phenomenology of l bits explains many distinctive features of the MBL phase, including its unusual slow dynamics [10–14], and the possibility for localization protected order in individual highly excited many-body eigen-states [15–19].”
- Random Quantum Circuits (2022, background): “This example is reminiscent of a ground state phase transition from a paramagnet to a symmetry-broken ferromagnet, although a closer analogy may be the eigenstate phase transition between spin-glass ordered and paramagnetic states in many-body localized systems (265, 266).”