# Many-body localization beyond eigenstates in all dimensions

@article{Chandran2016ManybodyLB, title={Many-body localization beyond eigenstates in all dimensions}, author={Anushya Chandran and Arijeet Pal and Chris R. Laumann and Antonello Scardicchio}, journal={Physical Review B}, year={2016}, volume={94}, pages={144203} }

Isolated quantum systems with quenched randomness exhibit many-body localization (MBL), wherein they do not reach local thermal equilibrium even when highly excited above their ground states. It is widely believed that individual eigenstates capture this breakdown of thermalization at finite size. We show that this belief is false in general and that a MBL system can exhibit the eigenstate properties of a thermalizing system. We propose that localized approximately conserved operators…

## 54 Citations

### Observation of energy-resolved many-body localization

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- 2020

Many-body localization (MBL) describes a quantum phase where an isolated interacting system subject to sufficient disorder displays non-ergodic behaviour, evading thermal equilibrium that occurs…

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It is demonstrated that nonrandom mechanisms that lead to single-particle localization may also lead to many-body localization, even in the absence of disorder, and a class of generic nonrandom models that fail to thermalize are constituted, which suggest new directions for experimentally exploring and understanding the phenomena of many- body localization.

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The results support the arguments that the MBL phase is unstable in systems with short-range interactions and quenched randomness in dimensions d that are high but finite.

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### Numerical Evidence for Many-Body Localization in Two and Three Dimensions.

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An algorithm is developed that can find approximate binary ℓ bits in arbitrary dimensions by adaptively generating a basis of operators in which to represent the ™ bit and validates the evidence of MBL phenomenology in the other two- and three-dimensional models studied.

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We introduce a multi-scale diagonalization scheme to study the transition between the many-body localized and the ergodic phase in disordered quantum chains. The scheme assumes a sharp dichotomy…

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A quantum system of particles can exist in a localized phase, exhibiting ergodicity breaking and maintaining forever a local memory of its initial conditions. We generalize this concept to a system…

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Lessons from Anderson localization highlight the importance of the dimensionality of real space for localization due to disorder. More recently, studies of many-body localization have focused on the…

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