Many-body localization in spin chain systems with quasiperiodic fields

Lee, Mac; Look, Thomas R.; Lim, S. P.; Sheng, D. N.

doi:10.1103/physrevb.96.075146

Cited by 60 publications

(65 citation statements)

References 75 publications

(91 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In the ETH phase (h ≤ h * ), we observe a sublinear scaling of the natural orbitals, compatible with a survival of the free fermions multifractality. Moreover, we find sub-diffusive dynamics for both imbalance and growth of entanglement entropy, a result which is a bit surprising -but in line with some results on the quasiperiodic Aubry-André model [37,71,83,84] -as the Fibonacci potential is free of rare Griffiths regions, which are usually thought [15,16] to cause such power-law behaviors.…”

Section: Resultssupporting

confidence: 89%

Many-body localization in a quasiperiodic Fibonacci chain

2019

View full text Add to dashboard Cite

We study the many-body localization (MBL) properties of a chain of interacting fermions subject to a quasiperiodic potential such that the non-interacting chain is always delocalized and displays multifractality. Contrary to naive expectations, adding interactions in this systems does not enhance delocalization, and a MBL transition is observed. Due to the local properties of the quasiperiodic potential, the MBL phase presents specific features, such as additional peaks in the density distribution. We furthermore investigate the fate of multifractality in the ergodic phase for low potential values. Our analysis is based on exact numerical studies of eigenstates and dynamical properties after a quench. 12 5.3 One-particle density matrix 13 6 Dynamical probes of many-body localization 15 6.1 Imbalance 15 6.2 Entanglement growth 16 1 arXiv:1811.01912v3 [cond-mat.dis-nn]

show abstract

Section: Resultssupporting

confidence: 89%

Many-body localization in a quasiperiodic Fibonacci chain

2019

View full text Add to dashboard Cite

show abstract

“…Our results can be expected to have relevance for the debate on many-body localization due to disorder versus localization due to pseudo-disorder [15][16][17][18][19]. It was indeed observed that, contrary to naive expectations, adding interactions in quasiperiodic systems does not enhance delocalization, and a MBL transition is observed both in Fibonacci spin chains [19] and in fermionic Aubry-André models [18].…”

Section: Conclusion and Discussionmentioning

confidence: 55%

Nonmonotonic crossover and scaling behavior in a disordered one-dimensional quasicrystal

Jagannathan

Jeena

Tarzia³

2019

Phys. Rev. B

View full text Add to dashboard Cite

We consider a noninteracting disordered 1D quasicrystal in the weak disorder regime. We show that the critical states of the pure model approach strong localization in strikingly different ways, depending on their renormalization properties. A finite size scaling analysis of the inverse participation ratios of states (IPR) of the quasicrystal shows that they are described by several kinds of scaling functions. While most states show a progressively increasing IPR as a function of the scaling variable, other states exhibit a nonmonotonic "re-entrant" behavior wherein the IPR first decreases, and passes through a minimum, before increasing. This surprising behavior is explained in the framework of perturbation renormalization group treatment, where wavefunctions can be computed analytically as a function of the hopping amplitude ratio and the disorder, however it is not specific to this model. Our results should help to clarify results of recent studies of localization due to random and quasiperiodic potentials. arXiv:1809.06324v3 [cond-mat.str-el]

show abstract

“…Surprisingly, before the MBL transition there exists a substantial range of λ in which the memory of the initial state relaxes very slowly, although the system is presumbly in a thermal phase [38,39]. Proposed explanations for this slow dynamics include local fluctuations in the initial state and atypical transition rates between single-particle states [38,40,41]. However, our understanding of this regime of slow relaxation in the AA model is still rather incomplete, since it cannot arise from the usual Griffiths physics of rare spatial regions in a deterministic system.…”

mentioning

confidence: 99%

Butterfly effect in interacting Aubry-Andre model: Thermalization, slow scrambling, and many-body localization

Hsu

et al. 2019

Phys. Rev. Research

View full text Add to dashboard Cite

The many-body localization transition in quasiperiodic systems has been extensively studied in recent ultracold atom experiments. At intermediate quasiperiodic potential strength, a surprising Griffiths-like regime with slow dynamics appears in the absence of random disorder and mobility edges. In this work, we study the interacting Aubry-Andre model, a prototype quasiperiodic system, as a function of incommensurate potential strength using a novel dynamical measure, information scrambling, in a large system of 200 lattice sites. Between the thermal phase and the many-body localized phase, we find an intermediate dynamical phase where the butterfly velocity is zero and information spreads in space as a power-law in time. This is in contrast to the ballistic spreading in the thermal phase and logarithmic spreading in the localized phase. We further investigate the entanglement structure of the many-body eigenstates in the intermediate phase and find strong fluctuations in eigenstate entanglement entropy within a given energy window, which is inconsistent with the eigenstate thermalization hypothesis. Machine-learning on the entanglement spectrum also reaches the same conclusion. Our large-scale simulations suggest that the intermediate phase with vanishing butterfly velocity could be responsible for the slow dynamics seen in recent experiments. arXiv:1902.07199v1 [cond-mat.str-el]

show abstract

Many-body localization in spin chain systems with quasiperiodic fields

Cited by 60 publications

References 75 publications

Many-body localization in a quasiperiodic Fibonacci chain

Many-body localization in a quasiperiodic Fibonacci chain

Nonmonotonic crossover and scaling behavior in a disordered one-dimensional quasicrystal

Butterfly effect in interacting Aubry-Andre model: Thermalization, slow scrambling, and many-body localization

Contact Info

Product

Resources

About