Instability of subdiffusive spin dynamics in strongly disordered Hubbard chain

Środa, M.; Prelovšek, P.; Mierzejewski, Marcin

doi:10.1103/physrevb.99.121110

Cited by 26 publications

(22 citation statements)

References 59 publications

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“…The corresponding spin dynamics is also interesting. As in the standard MBL case, we observe a subdiffusive decay of initial spin configuration for the initial staggered density-wave state, characteristic of the remaining SU(2) symmetry of the problem [51][52][53]. Visualization of this effect can be seen from the profile of spin degrees of freedom in Fig.…”

supporting

confidence: 55%

Coexistence of localized and extended phases: Many-body localization in a harmonic trap

Chanda

Yao

Zakrzewski

2020

Phys. Rev. Research

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We show that the presence of a harmonic trap may in itself lead to many-body localization for cold atoms confined in that trap in a quasi-one-dimensional geometry. Specifically, the coexistence of delocalized phase in the center of the trap with localized region closer to the edges is predicted with the borderline dependent on the curvature of the trap. The phenomenon, similar in its origin to Stark localization, should be directly observed with cold atomic species. We discuss both the spinless and the spinful fermions; for the latter we address Stark localization at the same time as it has not been analyzed up until now.

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supporting

confidence: 55%

Coexistence of localized and extended phases: Many-body localization in a harmonic trap

Chanda

Yao

Zakrzewski

2020

Phys. Rev. Research

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“…The results suggest that a sufficiently strong random potential localizes the charge degree of freedom, whereas spin excitations apperently exhibit a subdiffusive transport, i.e. remain delocalized [33][34][35][36]. A symmetric situation is observed in the presence of a sufficiently strong random magnetic field coupled to spins: spin excitations are localized whereas charge excitations are extended [37].…”

mentioning

confidence: 87%

Many-body localization of 1D disordered impenetrable two-component fermions

Bahovadinov,

Kurlov,

Altshuler

et al. 2021

Preprint

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We study effects of disorder on eigenstates of 1D two-component fermions with infinitely strong Hubbard repulsion. We demonstrate that the spin-independent (potential) disorder reduces the problem to the one-particle Anderson localization taking place at arbitrarily weak disorder. In contrast, a random magnetic field can cause reentrant many-body localization-delocalization transitions. Surprisingly weak magnetic field destroys one-particle localization caused by not too strong potential disorder, whereas at much stronger fields the states are many-body localized. We present numerical support of these conclusions.

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“…The universality of this effective classical description may be understood from the central limit theorem: in the regime of incoherent transport, short range interactions lead to an effective random walk with a finite variance of step sizes, leading to a Gaussian distribution at late times. This universality is only broken when quantum coherence is retained, such as in integrable models [9][10][11][12][13] or in the vicinity of a manybody localized phase, where rare region effects give rise to subdiffusive transport [14][15][16][17][18][19][20].…”

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confidence: 99%

Nonlocal emergent hydrodynamics in a long-range quantum spin system

2020

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Generic short-range interacting quantum systems with a conserved quantity exhibit universal diffusive transport at late times. We show how this universality is replaced by a more general transport process in the presence of long-range couplings that decay algebraically with distance as r −α . While diffusion is recovered for large exponents α > 1.5, longer-ranged couplings with 0.5 < α ≤ 1.5 give rise to effective classical Lévy flights; a random walk with step sizes following a distribution which falls off algebraically at large distances. We investigate this phenomenon in a long-range interacting XY spin chain, conserving the total magnetization, at infinite temperature by employing non-equilibrium quantum field theory and semi-classical phase-space simulations. We find that the space-time dependent spin density profiles are self-similar, with scaling functions given by the stable symmetric distributions. As a consequence, autocorrelations show hydrodynamic tails decaying in time as t −1/(2α−1) when 0.5 < α ≤ 1.5. We also extract the associated generalized diffusion constant, and demonstrate that it follows the prediction of classical Lévy flights; quantum many-body effects manifest themselves in an overall time scale depending only weakly on α. Our findings can be readily verified with current trapped ion experiments.of the hydrodynamic tail in the autocorrelation function C(j = 0, t), depends strongly on the long-range exponent arXiv:1909.01351v1 [cond-mat.quant-gas]

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Instability of subdiffusive spin dynamics in strongly disordered Hubbard chain

Cited by 26 publications

References 59 publications

Coexistence of localized and extended phases: Many-body localization in a harmonic trap

Coexistence of localized and extended phases: Many-body localization in a harmonic trap

Many-body localization of 1D disordered impenetrable two-component fermions

Nonlocal emergent hydrodynamics in a long-range quantum spin system

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